{"id":610117,"date":"2026-09-08T23:38:15","date_gmt":"2026-09-08T23:38:15","guid":{"rendered":"https:\/\/www.newsbeep.com\/il\/610117\/"},"modified":"2026-09-08T23:38:15","modified_gmt":"2026-09-08T23:38:15","slug":"observation-of-the-amplified-transverse-thermoelectric-signals-by-reduced-dimensionality-transport-anisotropy","status":"publish","type":"post","link":"https:\/\/www.newsbeep.com\/il\/610117\/","title":{"rendered":"Observation of the amplified transverse thermoelectric signals by reduced-dimensionality transport anisotropy"},"content":{"rendered":"<p>Theoretical framework for dimensional reduction-amplified transverse TE effects<\/p>\n<p>The thermopower tensor (\\(\\overleftrightarrow{S}={\\overleftrightarrow{\\sigma }}^{-1}\\cdot \\overleftrightarrow{\\alpha }\\)) is determined by both the electrical conductivity tensor \\(\\overleftrightarrow{\\sigma }\\) and the TE conductivity tensor \\(\\overleftrightarrow{\\alpha }\\). For an isotropic perfectly compensated semimetal (ne\u2009=\u2009nh and \u03bce\u2009=\u2009\u03bch), with a temperature gradient applied along the y direction, the induced electric voltage measured along the x direction, and a magnetic field applied along the z direction, the two-carrier Nernst response can be expressed as:<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 17\" title=\"Li, P. et al. Colossal Nernst power factor in topological semimetal NbSb2. Nat. Commun. 13, 7612 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR17\" id=\"ref-link-section-d44419646e912\" rel=\"nofollow noopener\" target=\"_blank\">17<\/a><\/p>\n<p>$${{{\\rm{S}}}}_{{{\\rm{xy}}}}=\\left({{{{\\rm{S}}}}_{{{\\rm{xy}}}}}^{{{\\rm{e}}}}{\\sigma _{{{\\rm{yy}}}}}^{{{\\rm{e}}}}+{{{{\\rm{S}}}}_{{{\\rm{yx}}}}}^{{{\\rm{h}}}}{\\sigma _{{{\\rm{yy}}}}}^{{{\\rm{h}}}}\\right)\/{\\sigma }_{{{\\rm{yy}}}}+1\/2{\\mu }_{{{\\rm{yy}}}}{{{\\rm{B}}}}_{{{\\rm{z}}}}\\left({{{{\\rm{S}}}}_{{{\\rm{yy}}}}}^{{{\\rm{h}}}}-{{{{\\rm{S}}}}_{{{\\rm{yy}}}}}^{{{\\rm{e}}}}\\right)$$<\/p>\n<p>\n                    (1)\n                <\/p>\n<p>where \u03bc denotes the carrier mobility and superscripts e and h refer to electrons and holes, respectively (Supplementary material, Note I). This expression consists of two principal contributions: a diffusive term and an ambipolar term. The diffusive term involves the off-diagonal thermopowers of electrons and holes and scales as tan\u0398\/\u025b, where tan\u0398 is the Hall angle, and \u025b is the Fermi energy. In highly conductive metals, the combination of a small Hall angle and a large Fermi energy renders this contribution negligible. The ambipolar term, which is coupled to the Seebeck electric field, typically dominates in topological semimetals<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"V&#xF6;lkl, T. et al. Demonstration and imaging of cryogenic magneto-thermoelectric cooling in a van der Waals semimetal. Nat. Phys. 20, 976&#x2013;983 (2024).\" href=\"#ref-CR7\" id=\"ref-link-section-d44419646e1203\">7<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Pan, Y. et al. Ultrahigh transverse thermoelectric power factor in flexible Weyl semimetal WTe2. Nat. Commun. 13, 3909 (2022).\" href=\"#ref-CR8\" id=\"ref-link-section-d44419646e1203_1\">8<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Chen, Z. et al. Leveraging bipolar effect to enhance transverse thermoelectricity in semimetal Mg2Pb for cryogenic heat pumping. Nat. Commun. 12, 3837 (2021).\" href=\"#ref-CR9\" id=\"ref-link-section-d44419646e1203_2\">9<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Fu, C. et al. Large Nernst power factor over a broad temperature range in polycrystalline Weyl semimetal NbP. Energy Environ. Sci. 11, 2813&#x2013;2820 (2018).\" href=\"#ref-CR10\" id=\"ref-link-section-d44419646e1203_3\">10<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Wang, H. et al. Large magneto-transverse and longitudinal thermoelectric effects in the magnetic Weyl semimetal TbPtBi. Adv. Mater. 35, 2206941 (2023).\" href=\"#ref-CR11\" id=\"ref-link-section-d44419646e1203_4\">11<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Pan, Y. et al. Topological materials for high-performance transverse thermoelectrics. Next Energy 2, 100103 (2024).\" href=\"#ref-CR12\" id=\"ref-link-section-d44419646e1203_5\">12<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Liang, T. et al. Anomalous Nernst effect in the Dirac semimetal Cd3As2. Phys. Rev. Lett. 118, 136601 (2017).\" href=\"#ref-CR13\" id=\"ref-link-section-d44419646e1203_6\">13<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Wang, P. et al. Giant Nernst effect and field-enhanced transversal zNT in ZrTe5. Phys. Rev. B 103, 045203 (2021).\" href=\"#ref-CR14\" id=\"ref-link-section-d44419646e1203_7\">14<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Feng, T. et al. Large transverse and longitudinal magneto-thermoelectric effect in polycrystalline nodal-line semimetal Mg3Bi2. Adv. Mater. 34, 2200931 (2022).\" href=\"#ref-CR15\" id=\"ref-link-section-d44419646e1203_8\">15<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Xiang, J. et al. Large transverse thermoelectric figure of merit in a topological Dirac semimetal. Sci. China Phy. Mech. 63, 237011 (2020).\" href=\"#ref-CR16\" id=\"ref-link-section-d44419646e1203_9\">16<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Li, P. et al. Colossal Nernst power factor in topological semimetal NbSb2. Nat. Commun. 13, 7612 (2022).\" href=\"#ref-CR17\" id=\"ref-link-section-d44419646e1203_10\">17<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Hu, H. et al. Multipocket synergy towards high thermoelectric performance in topological semimetal TaAs2. Nat. Commun. 16, 119 (2025).\" href=\"#ref-CR18\" id=\"ref-link-section-d44419646e1203_11\">18<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Gui, Z. et al. Giant longitudinal and transverse magneto-thermoelectric effects in a van del Waals semimetal TaCo2Te2. Energy Environ. Sci. 17, 7129&#x2013;7134 (2024).\" href=\"#ref-CR19\" id=\"ref-link-section-d44419646e1203_12\">19<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 20\" title=\"Wu, S. et al. Dirac fermion and phonon coupling toward giant Nernst thermoelectric performance in topological semimetal TaSb2. Adv. Mater. &#010;                  https:\/\/doi.org\/10.1002\/adma.202508627&#010;                  &#010;                 (2025).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR20\" id=\"ref-link-section-d44419646e1206\" rel=\"nofollow noopener\" target=\"_blank\">20<\/a> because high mobility bands coexist with large partial diffusion (Syyh\u2009\u2248\u2009\u2212Syye\u2009~\u20091\/\u025b) and substantial phonon-drag Seebeck components. Notably, because the partial Seebeck coefficients have opposite signs, the coexistence of electrons and holes actually amplifies the total Nernst thermopower (Sxy), acting as the crucial source of large Sxy in topological semimetals. In low-dimensional systems, the Mott relation shows that a strong energy dependence of conductivity markedly enhances the Seebeck effect. The partial Seebeck coefficients, defined by the energy derivative of conductivity, become maximized under quasi-1D conditions owing to nearly \u03b4-shaped energy-dependent density of states<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 2\" title=\"Snyder, G. J. &amp; Toberer, E. S. Complex thermoelectric materials. Nat. Mater. 7, 105&#x2013;114 (2008).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR2\" id=\"ref-link-section-d44419646e1233\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 4\" title=\"Hicks, L. D. &amp; Dresselhaus, M. S. Thermoelectric figure of merit of a one-dimensional conductor. Phys. Rev. B 47, 16631 (1993). R.\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR4\" id=\"ref-link-section-d44419646e1236\" rel=\"nofollow noopener\" target=\"_blank\">4<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 5\" title=\"He, B. et al. Record thermoelectric figure of merit in Bi1&#x2212; xSbx achieved by 1-D Landau level quantization. Energy Environ. Sci. 18, 3376&#x2013;3384 (2025).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR5\" id=\"ref-link-section-d44419646e1239\" rel=\"nofollow noopener\" target=\"_blank\">5<\/a>. To further enhance the Nernst thermopower, we turn our focus to the mobility term (\u03bcyy), which is underexplored in 3D semimetals. Low-dimensional semimetals exhibit pronounced mobility anisotropy; consequently the ambipolar contribution can be reformulated as (Supplementary material, Note I):<\/p>\n<p>$${{{{\\rm{S}}}}_{{xy}}}^{{{{\\rm{ambipolar}}}}}=1\/2\\left({{S}_{{{{{\\rm{yy}}}}}}}^{{{\\rm{h}}}}-{{S}_{{{{{\\rm{yy}}}}}}}^{{{\\rm{e}}}}\\right){B}_{z}{\\mu }_{H}^{2}\/{\\mu }_{{{{\\rm{xx}}}}}$$<\/p>\n<p>\n                    (2)\n                <\/p>\n<p>where the band mobility \u03bcyy is reformulated by a reduced mobility\\(\\tilde{\\mu }\\)\u2009=\u2009\u03bcH2\/\u03bcxx, with \u03bcH the Hall mobility. As the dimensionality is reduced, carrier mobility becomes increasingly anisotropic, remaining high along the conducting direction while being strongly suppressed in the transverse directions. This pronounced transport anisotropy leads to a substantial enhancement of the reduced mobility.<\/p>\n<p>In three-dimensional (3D) semimetals, the strongest Nernst response typically emerges within a narrow temperature window just below the onset of the phonon-phonon Umklapp process. In this region, the coexistence of high carrier mobility and phonon drag-enhanced partial Seebeck coefficients can yield Nernst thermopower on the order of millivolts per Kelvin<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Li, P. et al. Colossal Nernst power factor in topological semimetal NbSb2. Nat. Commun. 13, 7612 (2022).\" href=\"#ref-CR17\" id=\"ref-link-section-d44419646e1453\">17<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Hu, H. et al. Multipocket synergy towards high thermoelectric performance in topological semimetal TaAs2. Nat. Commun. 16, 119 (2025).\" href=\"#ref-CR18\" id=\"ref-link-section-d44419646e1453_1\">18<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Gui, Z. et al. Giant longitudinal and transverse magneto-thermoelectric effects in a van del Waals semimetal TaCo2Te2. Energy Environ. Sci. 17, 7129&#x2013;7134 (2024).\" href=\"#ref-CR19\" id=\"ref-link-section-d44419646e1453_2\">19<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 20\" title=\"Wu, S. et al. Dirac fermion and phonon coupling toward giant Nernst thermoelectric performance in topological semimetal TaSb2. Adv. Mater. &#010;                  https:\/\/doi.org\/10.1002\/adma.202508627&#010;                  &#010;                 (2025).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR20\" id=\"ref-link-section-d44419646e1456\" rel=\"nofollow noopener\" target=\"_blank\">20<\/a>. Beyond this range, electron-phonon interactions, which are strongly constrained by the Debye temperature, further suppress any enhancement of the Nernst thermopower. By contrast, quasi-1D systems, owing to their sharp density of states, inherently sustain large partial Seebeck coefficients that scale with temperature<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 4\" title=\"Hicks, L. D. &amp; Dresselhaus, M. S. Thermoelectric figure of merit of a one-dimensional conductor. Phys. Rev. B 47, 16631 (1993). R.\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR4\" id=\"ref-link-section-d44419646e1460\" rel=\"nofollow noopener\" target=\"_blank\">4<\/a>. When coupled to the phonon drag contributions, this results in enhanced Seebeck responses persisting over a broader temperature range. Furthermore, dimensional reduction amplifies both the effective-mass anisotropy with inter-chain effective masses approaching infinity, which may markedly enhance the reduced mobility \\(\\tilde{\\mu }\\) (see Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig1\" rel=\"nofollow noopener\" target=\"_blank\">1a, b<\/a>). Collectively, these effects yield a substantially amplified Nernst thermopower in quasi-1D LMO, with enhancements exceeding 160-fold compared with 3D counterparts (see Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig1\" rel=\"nofollow noopener\" target=\"_blank\">1d<\/a>), and sustain large responses over extended temperature ranges, surpassing 8\u2009mV\/K from 20 to 41\u2009K and 4\u2009mV\/K from 10\u201361\u2009K (see Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig3\" rel=\"nofollow noopener\" target=\"_blank\">3h<\/a>).<\/p>\n<p>To quantitatively evaluate the role of reduced dimensionality, we employ a tight-binding model described by H\u00b1\u2009=\u2009c0\u2009-txcoskx\u2009-\u2009tycos ky\u2009-\u2009tzcos kz\u2009\u00b1\u2009\u0394, where ti represents hopping parameters, \u0394 controls the energy separation between the electron and hole bands, and c0 adjusts the band filling and carrier compensation. Because the multiband Nernst response is highly sensitive to both the difference between the electron and hole Seebeck coefficients and the degree of carrier compensation, we impose perfect compensation between the two bands with identical carrier fillings for all anisotropy ratios (Supplementary Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">1c, d<\/a>). This construction eliminates variations arising from carrier imbalance, allowing the effect of dimensionality-induced Fermi-surface reconstruction to be isolated. We first fix ty and set tx\u2009=\u2009tz\u2009=\u2009Ktty with Kt varying from 1 to 0 to model the dimensional crossover from 3D to 1D. For each Kt, the Fermi energy is determined self-consistently at fixed carrier filling, and the Nernst thermopower is calculated by solving the Boltzmann transport equation. As shown in Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig1\" rel=\"nofollow noopener\" target=\"_blank\">1c<\/a>, the Nernst response increases monotonically with decreasing Kt, demonstrating that the evolution toward a more anisotropic Fermi surface geometry can substantially amplify the Nernst response. To further distinguish the contribution of transport anisotropy from that of the Seebeck coefficient, we introduce an additional anisotropy by setting tx\u2009=\u20092tz. For the same longitudinal Seebeck coefficient Syy, Szy exhibits a much stronger enhancement than Sxy, indicating that the enhanced Nernst response cannot be attributed solely to an increased Seebeck coefficient. Instead, the anisotropic Fermi-surface geometry enhances the Nernst response through the reduced mobility. Within this framework, the Nernst thermopower is governed by the dimensionality-dependent parameters Sxxh\u2009\u2013\u2009Sxxe and Km. Reduced dimensionality, therefore, enhances the transverse thermoelectric response through two synergistic mechanisms: increasing the partial Seebeck coefficient and strengthening transport anisotropy, thereby providing additional degrees of freedom for boosting the Nernst response.<\/p>\n<p>Quasi-one-dimensional LMO with half-filled band and sharp quasi-linear dispersion<\/p>\n<p>Based on the derivation above, low-dimensional systems with perfect compensation and high mobility can be decent transverse TE systems. The quasi-1D LMO serves as an ideal platform for demonstrating the role of dimensional reduction in enhancing transverse TE effects. It crystallizes in a monoclinic structure (space group of P21\/m1; see Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig2\" rel=\"nofollow noopener\" target=\"_blank\">2a<\/a>) with its primitive cell consisting of two stacks of four corner-sharing MoO6 octahedra and two MoO4 tetrahedra. The weak orbital overlap between the adjacent stacks within the ac-plane results in quasi-1D electronic transport characteristics, with a conductive zigzag chain along the crystallographic b-axis. Only two of the four MoO6 units participate in electric conduction, conferring strong quasi-1D properties to the system. This quasi-1D transport is clearly manifested in the temperature-dependent resistivity (see Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig2\" rel=\"nofollow noopener\" target=\"_blank\">2b<\/a>), with the resistivity ratio along the three principal axes (\u03c1bb: \u03c1aa: \u03c1cc) reaching ~ 1: 30: 262 at 300\u2009K.<\/p>\n<p>Fig. 2: Crystal structure, electronic structure, and quasi-1D transport properties of LMO.<img decoding=\"async\" aria-describedby=\"figure-2-desc\" src=\"https:\/\/www.newsbeep.com\/il\/wp-content\/uploads\/2026\/09\/41467_2026_77569_Fig2_HTML.png\" alt=\"Fig. 2: Crystal structure, electronic structure, and quasi-1D transport properties of LMO.\" loading=\"lazy\" width=\"685\" height=\"374\"\/><\/p>\n<p>a Crystal structure of LMO (emerald green, Li; steel blue, Mo; rose brown, O) together with the Nernst measurement configuration, where the heat current is applied along the conducting chains and the transverse voltage is detected along the inter-chain a-axis (Sab) and c-axis (Scb), respectively. b Axis-dependent resistivities. c Band structure along \u0393-Y, showing a sharp quasi-linear band in the vicinity of the Fermi level EF (red dashed line). d Quasi-1D Fermi surface of LMO within the Brillouin zone, comprising four nearly flat sheets. Both positive and negative curvature of sheets yield near-perfect compensation between electrons and holes. e The temperature dependence of Seebeck coefficients. A remarkably small net Seebeck coefficient (Sbb\u2009~\u20095\u2009\u03bcV\/K) is observed at 25\u2009K, indicative of nearly perfect electron-hole compensation. The total partial Seebeck coefficients, extracted from extended Nernst Eq.\u2009(<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"equation anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Equ2\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>) calculations (see Note 5 of the Supplementary Material for details), peak at 25\u2009K with pronounced contributions from both phonon drag and diffusion. The partial diffusion contributions are obtained through DFT calculations. The partial phonon-drag contributions are then obtained by subtracting the diffusion component from the total contribution. The diffusion term, strongly enhanced by reduced dimensionality, dominates above 70\u2009K and extends the temperature window of large Nernst response. Even at 25\u2009K, the diffusion contribution remains significant, reaching ~50\u2009\u03bcV\/K, owing to the quasi-1D properties. f Temperature-dependent carrier concentration extracted from two-carrier model fitting.<\/p>\n<p>Electronic band structure (DFT) calculations reveal that the Fermi surface of LMO consists primarily of two half-filled quasi-1D bands (see Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig2\" rel=\"nofollow noopener\" target=\"_blank\">2c<\/a>). These generate four nearly flat Fermi surface sheets (see Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig2\" rel=\"nofollow noopener\" target=\"_blank\">2d<\/a>), mirrored by inversion symmetry. Each sheet contains both positive and negative curvature<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 23\" title=\"Ong, N. P. Geometric interpretation of the weak-field Hall conductivity in two-dimensional metals with arbitrary Fermi surface. Phys. Rev. B 43, 193 (1991).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR23\" id=\"ref-link-section-d44419646e1733\" rel=\"nofollow noopener\" target=\"_blank\">23<\/a>, yielding near-perfect compensation between electrons and holes. Experimental Hall conductivity fitting by the two-carrier model and temperature dependence of Seebeck coefficient further confirm this compensation across the measured temperature range (see Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig2\" rel=\"nofollow noopener\" target=\"_blank\">2e, f<\/a>). Above 20\u2009K, the carrier densities remain nearly constant. By contrast, a sharp decline in both carrier types occurs below 20\u2009K, which potentially indicates the onset of possibly correlated effects associated with the metal-insulator transition in \u03c1(T)<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Lu, J. et al. Emergence of a real-space symmetry axis in the magnetoresistance of the one-dimensional conductor Li0. 9Mo6O17. Sci. Adv. 5, eaar8027 (2019).\" href=\"#ref-CR24\" id=\"ref-link-section-d44419646e1747\">24<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Dos Santos, C. A. M. et al. Dimensional crossover in the purple bronze Li0.9Mo6O17. Phys. Rev. Lett. 98, 266405 (2007).\" href=\"#ref-CR25\" id=\"ref-link-section-d44419646e1747_1\">25<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 26\" title=\"Xu, X. et al. Directional field-induced metallization of quasi-one-dimensional Li0.9Mo6O17. Phys. Rev. Lett. 102, 206602 (2009).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR26\" id=\"ref-link-section-d44419646e1750\" rel=\"nofollow noopener\" target=\"_blank\">26<\/a>. Moreover, the sharp band dispersions near the Fermi level are quasi-linear, resembling those of topological semimetals and enabling relatively high mobility. The Hall mobility reaches 0.3\u2009m2\u2009V\u22121\u2009s\u22121 at 2\u2009K (Supplementary Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">8c<\/a>).<\/p>\n<p>Difference in giant Nernst and Ettingshausen signals after fixing heat and electric currents<\/p>\n<p>The combination of carrier compensation and relatively high mobility in LMO provides a robust foundation for achieving large transverse TE signals. Moreover, the quasi-1D properties make it possible to verify the correlation between transverse geometry and transverse TE coefficients. In order to exclude the influence of Seebeck electric field (based on the extended Nernst Eq.\u2009(<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"equation anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Equ2\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>)), we design the Nernst thermopower measurement under a fixed thermal gradient applied along the conductive b-axis (see Figs.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig2\" rel=\"nofollow noopener\" target=\"_blank\">2a<\/a> and <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig3\" rel=\"nofollow noopener\" target=\"_blank\">3a\u2013g<\/a>). The Sab is proportional to the applied magnetic field and reached a maximum of 2760\u2009\u03bcV\/K at 25\u2009K and 9\u2009T. Remarkably, upon rotation of the transverse voltage probe towards a more quasi-1D orientation, Scb exhibits a substantial enhancement, reaching a peak value of 11430\u2009\u03bcV\/K under identical measurement conditions. This value is second only to that of pure Bi<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 27\" title=\"Mangez, J. H., Issi, J. P. &amp; Heremans, J. Transport properties of bismuth in quantizing magnetic fields. Phys. Rev. B 14, 4381&#x2013;4385 (1976).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR27\" id=\"ref-link-section-d44419646e1792\" rel=\"nofollow noopener\" target=\"_blank\">27<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 28\" title=\"Behnia, K., Marie-Aude, M. &amp; Yakov, K. Nernst effect in semimetals: the effective mass and the figure of merit. Phys. Rev. Lett. 98, 076603 (2007).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR28\" id=\"ref-link-section-d44419646e1795\" rel=\"nofollow noopener\" target=\"_blank\">28<\/a>, yet occurs at a higher temperature (25\u2009K vs 8\u2009K), resulting in a substantial transverse TE signal across a broader temperature range (with values exceeding 1000\u2009\u03bcV\/K below 120\u2009K, see Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig3\" rel=\"nofollow noopener\" target=\"_blank\">3h<\/a>), highlighting the strong potential of LMO for transverse TE cooling applications.<\/p>\n<p>Fig. 3: Dimensional reduction enhanced Nernst and Ettingshausen responses.<img decoding=\"async\" aria-describedby=\"figure-3-desc\" src=\"https:\/\/www.newsbeep.com\/il\/wp-content\/uploads\/2026\/09\/41467_2026_77569_Fig3_HTML.png\" alt=\"Fig. 3: Dimensional reduction enhanced Nernst and Ettingshausen responses.\" loading=\"lazy\" width=\"685\" height=\"382\"\/><\/p>\n<p>a\u2013g Magnetic field-dependent Nernst signals measured between 20\u2009K and 100\u2009K, with the heat current applied along the b-axis and the transverse voltage detected along the a-axis (Sab) and c-axis (Scb), respectively. h Temperature dependence of Nernst signals at 9\u2009T with a significant difference between Sab and Scb. i\u2013o Magnetic-field-dependent Ettingshausen signals recorded between 24.5\u2009K and 102.2\u2009K, with the temperature difference measured along the b-axis and electric current applied along the a-axis (\u2206Tba\/jaa) and c-axis (\u2206Tbc\/jcc), respectively. p Comparison of the Ettingshausen coefficient at 9\u2009T obtained from the Bridgman relation with that determined by direct measurement.<\/p>\n<p>To further examine the role of transverse geometry with the heat flow direction held constant, we measured the Ettingshausen signals, i.e., the magnetic field induced transverse temperature gradient with the temperature difference recorded along the b-axis (see Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig3\" rel=\"nofollow noopener\" target=\"_blank\">3i\u2013o<\/a>). The Ettingshausen response shows a similar field dependence to that of the Nernst thermopower, displaying an approximately linear increase with increasing field strength across 24.5\u2013102.2\u2009K range. Maximum Ettinghausen signals reach 1.18\u2009\u00d7\u200910\u22123\u2009Km\/A and 6.3\u2009\u00d7\u200910\u22123\u2009Km\/A at 52.5\u2009K and 43.1\u2009K for electric currents along the a- and c-axis, respectively, which are comparable to or even surpass that of Bi (0.45\u2009\u00d7\u200910\u22123\u2009Km\/A at 6.8\u2009K)<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 27\" title=\"Mangez, J. H., Issi, J. P. &amp; Heremans, J. Transport properties of bismuth in quantizing magnetic fields. Phys. Rev. B 14, 4381&#x2013;4385 (1976).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR27\" id=\"ref-link-section-d44419646e1908\" rel=\"nofollow noopener\" target=\"_blank\">27<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 28\" title=\"Behnia, K., Marie-Aude, M. &amp; Yakov, K. Nernst effect in semimetals: the effective mass and the figure of merit. Phys. Rev. Lett. 98, 076603 (2007).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR28\" id=\"ref-link-section-d44419646e1911\" rel=\"nofollow noopener\" target=\"_blank\">28<\/a>. While Bi exhibits extremely high mobility and conductivity at zero magnetic field, its conductivity is strongly suppressed under a magnetic field due to the Lorentz force, reaching the same order as that of LMO<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 27\" title=\"Mangez, J. H., Issi, J. P. &amp; Heremans, J. Transport properties of bismuth in quantizing magnetic fields. Phys. Rev. B 14, 4381&#x2013;4385 (1976).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR27\" id=\"ref-link-section-d44419646e1915\" rel=\"nofollow noopener\" target=\"_blank\">27<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 28\" title=\"Behnia, K., Marie-Aude, M. &amp; Yakov, K. Nernst effect in semimetals: the effective mass and the figure of merit. Phys. Rev. Lett. 98, 076603 (2007).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR28\" id=\"ref-link-section-d44419646e1918\" rel=\"nofollow noopener\" target=\"_blank\">28<\/a>. These results further underscore the Ettingshausen cooling capacity of LMO. Additionally, the Ettingshausen coefficient (E) and the Nernst thermopower (Syx) are related via the Bridgman relation, Eyx\u2009=\u2009SxyT\/\u03bayy<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 29\" title=\"Putley, E. H. The hall effect and related phenomena 77&#x2013;81; 170&#x2013;174 (Butterworths, 1960).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR29\" id=\"ref-link-section-d44419646e1944\" rel=\"nofollow noopener\" target=\"_blank\">29<\/a>, where \u03ba denotes the thermal conductivity and is independent of magnetic field in LMO (Supplementary Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">3c<\/a>). Figure\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig3\" rel=\"nofollow noopener\" target=\"_blank\">3p<\/a> compares the Ettinghausen coefficients obtained via direct measurement with those calculated from the Nernst thermopower. The excellent agreement between the two provides compelling evidence for the pronounced difference in transverse TE response of LMO under fixed directions of heat flow and output temperature difference.<\/p>\n<p>The correlations between dimensional reduction and transverse TE signals<\/p>\n<p>The giant Nernst thermopower and the pronounced disparity between Sab and Scb indicate that reduced dimensionality plays a crucial role in enhancing the transverse TE response. To elucidate its origin, we employ the extended Nernst Eq.\u2009(<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"equation anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Equ2\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>). Similar to the case of topological semimetals, the carrier-diffusion contribution plays only a negligible role in enhancing the transverse TE response. Although the Hall angle is large, the Fermi energy is also comparatively high (\u025b\u2009\u2248\u2009500\u2009meV). Consequently, the enhancement associated with the large Hall angle is largely offset by the high Fermi energy, resulting in a carrier-diffusion contribution of only ~10\u2009\u03bcV\/K at 25\u2009K. This value is nearly three orders of magnitude smaller than the measured Nernst thermopower of 11,470\u2009\u03bcV\/K. Therefore, the giant Nernst response is dominated by the ambipolar contribution (Supplementary Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">7b<\/a>). Earlier studies have reported large Sab and anisotropic transport properties focusing on the ab plane<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 30\" title=\"Cohn, J. L. et al. Giant Nernst effect and bipolarity in the quasi-one-dimensional metal Li0.9Mo6O17. Phys. Rev. Lett. 108, 056604 (2012).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR30\" id=\"ref-link-section-d44419646e1990\" rel=\"nofollow noopener\" target=\"_blank\">30<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 31\" title=\"Cohn, J. L. et al. Superconductivity at carrier density 1017 cm&#x2212;3 in quasi-one-dimensional Li0.9Mo6O17. Phys. Rev. B 108, L100512 (2023).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR31\" id=\"ref-link-section-d44419646e1993\" rel=\"nofollow noopener\" target=\"_blank\">31<\/a>, but overlooked the even larger Scb, attributing the enhancement to a phonon drag-induced Seebeck electric field within an isotropic Nernst framework. However, this simplified isotropic formulation fails to capture the giant difference between Sab and Scb when the direction of heat flow is fixed. In our results, the dimensional reduction and phonon drag together yield a large partial Seebeck electric field that persists over a wide temperature range (see Figs.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig2\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>e and <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig3\" rel=\"nofollow noopener\" target=\"_blank\">3h<\/a>). At low temperatures, the phonon-drag Seebeck component dominates, particularly near the phonon peak. As the temperature increases, the contribution from the Seebeck effect induced by the low-dimensional density of states gradually becomes more significant (Sbbdrag\u2009\u2248\u2009Sbbdiffusion at 120\u2009K; Supplementary Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">8f<\/a>). Moreover, quasi-1D transport anisotropy further enhance Nernst thermopower via a extended Nernst Eq.\u2009(<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"equation anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Equ2\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>) (Supplementary Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">8e<\/a>), in which the reduced mobility\\(\\tilde{\\mu }\\) embodies both intrinsic contributions from Fermi surface curvature Km.<\/p>\n<p>Figure\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4a<\/a> presents the temperature dependence of the Hall mobility. Both \u03bcHab and \u03bcHcb increase upon cooling, with \u03bcHab consistently exceeding \u03bcHcb, reflecting the lower value of \u03bccc compared to \u03bcaa. We applied the particular subscription of a and b to represent the effective mass ratio maa*\/mbb*. Hall resistivity measurements at 2\u2009K (see inset, Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4a<\/a>) further reveal a pronounced difference between \u03c1cb and \u03c1ab, accompanied by nonlinear field dependence arising from multiband transport. To quantitatively assess the effect of dimensional reduction (manifested as the reduced mobility \\(\\tilde{\\mu }\\)) on Nernst signals, we compare the experimental ratio Scb\/Sab with the theoretical expression \\({\\tilde{\\mu }}_{{{{\\rm{cb}}}}}\/{\\tilde{\\mu }}_{{{{\\rm{ab}}}}}\\) (Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4b<\/a>). The near identical temperature dependence and magnitude of these ratios provide strong evidence that the difference in Nernst response originates from the substantial difference in the reduced mobility induced by quasi-1D properties of LMO. The pronounced anisotropy in Fermi-surface geometry, characteristic of low-dimensional transport, thus governs the observed amplification of the transverse TE response.<\/p>\n<p>Fig. 4: Hall mobility and transverse TE performance.<img decoding=\"async\" aria-describedby=\"figure-4-desc\" src=\"https:\/\/www.newsbeep.com\/il\/wp-content\/uploads\/2026\/09\/41467_2026_77569_Fig4_HTML.png\" alt=\"Fig. 4: Hall mobility and transverse TE performance.\" loading=\"lazy\" width=\"685\" height=\"540\"\/><\/p>\n<p>a Temperature-dependent Hall mobility extracted from two-carrier model fitting. The inset shows the Hall resistivity measured at 2\u2009K with the electric current applied along the b-axis and the transverse voltage detected along the a-axis (\u03c1ab) and c-axis (\u03c1cb), respectively. b Comparison between the ratios Scb\/Sab and \\({\\tilde{\\mu }}_{{{{\\rm{cb}}}}}\/{\\tilde{\\mu }}_{{{{\\rm{ab}}}}}\\) as a function of temperature at 9\u2009T with \\({\\widetilde{\\mu }}_{{{\\mathrm{cb}}}}\\)\u2009=\u2009\u03bcHcb\u00b2\/\u03bccc and \\({\\tilde{\\mu }}_{{{{\\rm{ab}}}}}\\)\u2009=\u2009\u03bcHab\u00b2\/\u03bcaa. In this analysis, differences in charge carriers between the a-axis and c-axis were neglected, with \u03c1cc\/\u03c1aa used as a proxy for \u03bcaa\/\u03bccc. c Comparison of the Nernst response and carrier mobility in LMO with those of representative transverse TE materials<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Pan, Y. et al. Ultrahigh transverse thermoelectric power factor in flexible Weyl semimetal WTe2. Nat. Commun. 13, 3909 (2022).\" href=\"#ref-CR8\" id=\"ref-link-section-d44419646e2446\">8<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Chen, Z. et al. Leveraging bipolar effect to enhance transverse thermoelectricity in semimetal Mg2Pb for cryogenic heat pumping. Nat. Commun. 12, 3837 (2021).\" href=\"#ref-CR9\" id=\"ref-link-section-d44419646e2446_1\">9<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Fu, C. et al. Large Nernst power factor over a broad temperature range in polycrystalline Weyl semimetal NbP. Energy Environ. Sci. 11, 2813&#x2013;2820 (2018).\" href=\"#ref-CR10\" id=\"ref-link-section-d44419646e2446_2\">10<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Wang, H. et al. Large magneto-transverse and longitudinal thermoelectric effects in the magnetic Weyl semimetal TbPtBi. Adv. Mater. 35, 2206941 (2023).\" href=\"#ref-CR11\" id=\"ref-link-section-d44419646e2446_3\">11<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Pan, Y. et al. Topological materials for high-performance transverse thermoelectrics. Next Energy 2, 100103 (2024).\" href=\"#ref-CR12\" id=\"ref-link-section-d44419646e2446_4\">12<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Liang, T. et al. Anomalous Nernst effect in the Dirac semimetal Cd3As2. Phys. Rev. Lett. 118, 136601 (2017).\" href=\"#ref-CR13\" id=\"ref-link-section-d44419646e2446_5\">13<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Wang, P. et al. Giant Nernst effect and field-enhanced transversal zNT in ZrTe5. Phys. Rev. B 103, 045203 (2021).\" href=\"#ref-CR14\" id=\"ref-link-section-d44419646e2446_6\">14<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Feng, T. et al. Large transverse and longitudinal magneto-thermoelectric effect in polycrystalline nodal-line semimetal Mg3Bi2. Adv. Mater. 34, 2200931 (2022).\" href=\"#ref-CR15\" id=\"ref-link-section-d44419646e2446_7\">15<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Xiang, J. et al. Large transverse thermoelectric figure of merit in a topological Dirac semimetal. Sci. China Phy. Mech. 63, 237011 (2020).\" href=\"#ref-CR16\" id=\"ref-link-section-d44419646e2446_8\">16<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Li, P. et al. Colossal Nernst power factor in topological semimetal NbSb2. Nat. Commun. 13, 7612 (2022).\" href=\"#ref-CR17\" id=\"ref-link-section-d44419646e2446_9\">17<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Hu, H. et al. Multipocket synergy towards high thermoelectric performance in topological semimetal TaAs2. Nat. Commun. 16, 119 (2025).\" href=\"#ref-CR18\" id=\"ref-link-section-d44419646e2446_10\">18<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Gui, Z. et al. Giant longitudinal and transverse magneto-thermoelectric effects in a van del Waals semimetal TaCo2Te2. Energy Environ. Sci. 17, 7129&#x2013;7134 (2024).\" href=\"#ref-CR19\" id=\"ref-link-section-d44419646e2446_11\">19<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 20\" title=\"Wu, S. et al. Dirac fermion and phonon coupling toward giant Nernst thermoelectric performance in topological semimetal TaSb2. Adv. Mater. &#010;                  https:\/\/doi.org\/10.1002\/adma.202508627&#010;                  &#010;                 (2025).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR20\" id=\"ref-link-section-d44419646e2449\" rel=\"nofollow noopener\" target=\"_blank\">20<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 27\" title=\"Mangez, J. H., Issi, J. P. &amp; Heremans, J. Transport properties of bismuth in quantizing magnetic fields. Phys. Rev. B 14, 4381&#x2013;4385 (1976).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR27\" id=\"ref-link-section-d44419646e2452\" rel=\"nofollow noopener\" target=\"_blank\">27<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 28\" title=\"Behnia, K., Marie-Aude, M. &amp; Yakov, K. Nernst effect in semimetals: the effective mass and the figure of merit. Phys. Rev. Lett. 98, 076603 (2007).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR28\" id=\"ref-link-section-d44419646e2455\" rel=\"nofollow noopener\" target=\"_blank\">28<\/a>. d Temperature-dependent transverse power factors of LMO benchmarked against other typical transverse TE systems and Bi2Te3<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Pan, Y. et al. Ultrahigh transverse thermoelectric power factor in flexible Weyl semimetal WTe2. Nat. Commun. 13, 3909 (2022).\" href=\"#ref-CR8\" id=\"ref-link-section-d44419646e2466\">8<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Chen, Z. et al. Leveraging bipolar effect to enhance transverse thermoelectricity in semimetal Mg2Pb for cryogenic heat pumping. Nat. Commun. 12, 3837 (2021).\" href=\"#ref-CR9\" id=\"ref-link-section-d44419646e2466_1\">9<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Fu, C. et al. Large Nernst power factor over a broad temperature range in polycrystalline Weyl semimetal NbP. Energy Environ. Sci. 11, 2813&#x2013;2820 (2018).\" href=\"#ref-CR10\" id=\"ref-link-section-d44419646e2466_2\">10<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Wang, H. et al. Large magneto-transverse and longitudinal thermoelectric effects in the magnetic Weyl semimetal TbPtBi. Adv. Mater. 35, 2206941 (2023).\" href=\"#ref-CR11\" id=\"ref-link-section-d44419646e2466_3\">11<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Pan, Y. et al. Topological materials for high-performance transverse thermoelectrics. Next Energy 2, 100103 (2024).\" href=\"#ref-CR12\" id=\"ref-link-section-d44419646e2466_4\">12<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Liang, T. et al. Anomalous Nernst effect in the Dirac semimetal Cd3As2. Phys. Rev. Lett. 118, 136601 (2017).\" href=\"#ref-CR13\" id=\"ref-link-section-d44419646e2466_5\">13<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Wang, P. et al. Giant Nernst effect and field-enhanced transversal zNT in ZrTe5. Phys. Rev. B 103, 045203 (2021).\" href=\"#ref-CR14\" id=\"ref-link-section-d44419646e2466_6\">14<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Feng, T. et al. Large transverse and longitudinal magneto-thermoelectric effect in polycrystalline nodal-line semimetal Mg3Bi2. Adv. Mater. 34, 2200931 (2022).\" href=\"#ref-CR15\" id=\"ref-link-section-d44419646e2466_7\">15<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Xiang, J. et al. Large transverse thermoelectric figure of merit in a topological Dirac semimetal. Sci. China Phy. Mech. 63, 237011 (2020).\" href=\"#ref-CR16\" id=\"ref-link-section-d44419646e2466_8\">16<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Li, P. et al. Colossal Nernst power factor in topological semimetal NbSb2. Nat. Commun. 13, 7612 (2022).\" href=\"#ref-CR17\" id=\"ref-link-section-d44419646e2466_9\">17<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Hu, H. et al. Multipocket synergy towards high thermoelectric performance in topological semimetal TaAs2. Nat. Commun. 16, 119 (2025).\" href=\"#ref-CR18\" id=\"ref-link-section-d44419646e2466_10\">18<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Gui, Z. et al. Giant longitudinal and transverse magneto-thermoelectric effects in a van del Waals semimetal TaCo2Te2. Energy Environ. Sci. 17, 7129&#x2013;7134 (2024).\" href=\"#ref-CR19\" id=\"ref-link-section-d44419646e2466_11\">19<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 20\" title=\"Wu, S. et al. Dirac fermion and phonon coupling toward giant Nernst thermoelectric performance in topological semimetal TaSb2. Adv. Mater. &#010;                  https:\/\/doi.org\/10.1002\/adma.202508627&#010;                  &#010;                 (2025).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR20\" id=\"ref-link-section-d44419646e2469\" rel=\"nofollow noopener\" target=\"_blank\">20<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 34\" title=\"Poudel, B. et al. High-thermoelectric performance of nanostructured bismuth antimony telluride bulk alloys. Science 320, 634&#x2013;638 (2008).\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#ref-CR34\" id=\"ref-link-section-d44419646e2472\" rel=\"nofollow noopener\" target=\"_blank\">34<\/a>.<\/p>\n<p>Crucially, these findings broaden the conventional framework for understanding large transverse TE effects. In addition to the established roles of high mobility and large compensated Seebeck coefficients, we identify reduced dimensionality as a decisive factor that can dramatically amplify transverse TE responses. At 25\u2009K, the reduced mobilities (\\({\\tilde{\\mu }}_{{{{\\rm{ab}}}}}\\) and \\({\\tilde{\\mu }}_{{{{\\rm{cb}}}}}\\)) reach 4.1 and 19.1\u2009m2\u2009V\u22121\u2009s\u22121, corresponding to 22- and 160-fold enhancements in transverse TE signals compared with those expected from the bare Hall mobility and Seebeck electric fields (see Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig1\" rel=\"nofollow noopener\" target=\"_blank\">1d<\/a>). Figure\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4c<\/a> benchmarks these mobility-dependent Nernst thermopower against other representative transverse TE materials. Despite its relatively modest Hall mobility, LMO yields a large Nernst signal second only to that of Bi, underscoring the critical role of dimensional reduction in enabling superior transverse TE responses.<\/p>\n<p>Giant transverse TE power factors below the liquid nitrogen temperature region<\/p>\n<p>From an application perspective, the orthogonal configuration of heat flow and voltage output in transverse TEs not only simplifies device architecture but also enables high power density. Beyond this structural advantage, our results reveal that such an orthogonal geometry intrinsically provides a pathway to enhance both the transverse response and overall TE performance. Achieving a substantial transverse TE signal requires the heat-flux direction to sustain high carrier mobility and a large compensated Seebeck electric field, while the voltage-output direction maintains comparatively lower mobility. This yields a large reduced mobility, naturally realized in quasi-1D systems with anisotropic Fermi-surface geometry. This requirement directly challenges the conventional view that high resistivity suppresses the TE power factor. Instead, we demonstrate that dimensional reduction amplifies the transverse TE response by simultaneously enhancing the Seebeck electric field and the reduced mobility, thereby boosting the transverse power factor (PFcb\u2009=\u2009Scb2\/\u03c1cc\u2009~\u2009\u03bcHcb4\u03c1cc) through geometric effects. As illustrated in Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41467-026-77569-y#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4d<\/a>, the temperature-dependent power factor PFab reaches a maximum of ~139\u2009\u03bcW\u2009cm\u22121\u2009K\u22122 at 25\u2009K and 9\u2009T. The transverse TE response is further amplified along stronger quasi-one-dimensional direction, yielding a sixfold increase in power factor. Specifically, PFcb attains 814\u2009\u03bcW\u2009cm\u22121\u2009K\u22122 at the same temperature and field, comparable to those of other reported transverse TE materials, including WTe2 and NbSb2. Notably, this high performance persists throughout the entire liquid nitrogen temperature range. At sub-liquid nitrogen temperature, the transverse power factor of LMO significantly exceeds that of Bi2Te3, the benchmark longitudinal TE material in commercial applications. This comparison underscores the substantial promise of LMO for high-efficiency transverse TE cooling in cryogenic environments.<\/p>\n","protected":false},"excerpt":{"rendered":"Theoretical framework for dimensional reduction-amplified transverse TE effects The thermopower tensor (\\(\\overleftrightarrow{S}={\\overleftrightarrow{\\sigma }}^{-1}\\cdot \\overleftrightarrow{\\alpha }\\)) is determined by&hellip;\n","protected":false},"author":2,"featured_media":610118,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[114,13180,4068,85,46,4069,141,16662],"class_list":["post-610117","post","type-post","status-publish","format-standard","has-post-thumbnail","category-business","tag-business","tag-condensed-matter-physics","tag-humanities-and-social-sciences","tag-il","tag-israel","tag-multidisciplinary","tag-science","tag-thermoelectrics"],"_links":{"self":[{"href":"https:\/\/www.newsbeep.com\/il\/wp-json\/wp\/v2\/posts\/610117","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.newsbeep.com\/il\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.newsbeep.com\/il\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/il\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/il\/wp-json\/wp\/v2\/comments?post=610117"}],"version-history":[{"count":0,"href":"https:\/\/www.newsbeep.com\/il\/wp-json\/wp\/v2\/posts\/610117\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/il\/wp-json\/wp\/v2\/media\/610118"}],"wp:attachment":[{"href":"https:\/\/www.newsbeep.com\/il\/wp-json\/wp\/v2\/media?parent=610117"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.newsbeep.com\/il\/wp-json\/wp\/v2\/categories?post=610117"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.newsbeep.com\/il\/wp-json\/wp\/v2\/tags?post=610117"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}