Das, S. et al. Observation of room-temperature polar skyrmions. Nature 568, 368–372 (2019).

Article 
PubMed 
CAS 

Google Scholar
 

Wang, Y. J. et al. Polar meron lattice in strained oxide ferroelectrics. Nat. Mater. 19, 881–886 (2020).

Article 
PubMed 

Google Scholar
 

Govinden, V. et al. Spherical ferroelectric solitons. Nat. Mater. 22, 553–561 (2023).

Article 
PubMed 
CAS 

Google Scholar
 

Yadav, A. K. et al. Spatially resolved steady-state negative capacitance. Nature 565, 468–471 (2019).

Article 
PubMed 
CAS 

Google Scholar
 

Tan, C. et al. Engineering polar vortex from topologically trivial domain architecture. Nat. Commun. 12, 4620 (2021).

Article 
PubMed 
PubMed Central 
CAS 

Google Scholar
 

Li, Z. W. et al. High-density array of ferroelectric nanodots with robust and reversibly switchable topological domain states. Sci. Adv. 3, e1700919 (2017).

Article 
PubMed 
PubMed Central 

Google Scholar
 

Kim, K. et al. Configurable topological textures in strain graded ferroelectric nanoplates. Nat. Commun. 9, 403 (2018).

Article 
PubMed 
PubMed Central 

Google Scholar
 

Zhang, Q. et al. Nanoscale bubble domains and topological transitions in ultrathin ferroelectric films. Adv. Mater. 603, 1702375 (2017).

Article 

Google Scholar
 

Prokhorenko, S. et al. Motion and teleportation of polar bubbles in low-dimensional ferroelectrics. Nat. Commun. 15, 412 (2024).

Article 
PubMed 
PubMed Central 
CAS 

Google Scholar
 

Zhang, Q. et al. Deterministic switching of ferroelectric bubble nanodomains. Adv. Funct. Mater. 29, 1808573 (2019).

Article 

Google Scholar
 

Han, L. et al. High-density switchable skyrmion-like polar nanodomains integrated on silicon. Nature 603, 63–67 (2022).

Article 
PubMed 
CAS 

Google Scholar
 

Bakaul, S. R. et al. Freestanding ferroelectric bubble domains. Adv. Mater. 33, 2105432 (2021).

Article 
CAS 

Google Scholar
 

Ming, W. et al. Flexoelectric engineering of van der Waals ferroelectric CuInP2S6. Sci. Adv. 8, eabq1232 (2022).

Article 
PubMed 
PubMed Central 
CAS 

Google Scholar
 

Lun, Y. et al. Ultralow tip-force driven sizable-area domain manipulation through transverse flexoelectricity. Adv. Mater. 35, 2302320 (2023).

Article 
CAS 

Google Scholar
 

Yang, X. et al. Highly reproducible van der Waals integration of two-dimensional electronics on the wafer scale. Nat. Nanotechnol. 18, 471–478 (2023).

Article 
PubMed 
CAS 

Google Scholar
 

Lu, D. et al. Monolithic three-dimensional tier-by-tier integration via van der Waals lamination. Nature 630, 340–345 (2024).

Article 
PubMed 
CAS 

Google Scholar
 

Liu, Y. et al. Van der Waals integration before and beyond two-dimensional materials. Nature 567, 323–333 (2019).

Article 
PubMed 
CAS 

Google Scholar
 

Zhang, D. et al. Ferroelectric order in van der Waals layered materials. Nat. Rev. Mater. 8, 25–40 (2023).

Article 

Google Scholar
 

Wang, C. et al. Towards two-dimensional van der Waals ferroelectrics. Nat. Mater. 22, 542–552 (2023).

Article 
PubMed 
CAS 

Google Scholar
 

Brehm, J. A. et al. Tunable quadruple-well ferroelectric van der Waals crystals. Nat. Mater. 19, 43–48 (2020).

Article 
PubMed 
CAS 

Google Scholar
 

Dawei, Z. et al. Anisotropic ion migration and electronic conduction in van der Waals ferroelectric CuInP2S6. Nano Lett. 21, 995–1002 (2021).

Article 

Google Scholar
 

Jiang, X. et al. Manipulation of current rectification in van der Waals ferroionic CuInP2S6. Nat. Commun. 13, 574 (2022).

Article 
PubMed 
PubMed Central 
CAS 

Google Scholar
 

Zhong, Z. et al. Robust threshold-switching behavior assisted by Cu migration in a ferroionic CuInP2S6 heterostructure. ACS Nano 17, 12563–12572 (2023).

Article 
PubMed 
CAS 

Google Scholar
 

Zhu, H. et al. Highly tunable lateral homojunction formed in two-dimensional layered CuInP2S6 via in-plane ionic migration. ACS Nano 17, 1239–1246 (2023).

Article 
CAS 

Google Scholar
 

You, L. et al. Origin of giant negative piezoelectricity in a layered van der Waals ferroelectric. Sci. Adv. 5, eaav3780 (2019).

Article 
PubMed 
PubMed Central 
CAS 

Google Scholar
 

Qi, Y. et al. Widespread negative longitudinal piezoelectric responses in ferroelectric crystals with layered structures. Phys. Rev. Lett. 126, 217601 (2021).

Article 
PubMed 
CAS 

Google Scholar
 

Deng, J. et al. Thickness-dependent in-plane polarization and structural phase transition in van der Waals ferroelectric CuInP2S6. Small 16, 1904529 (2020).

Article 
CAS 

Google Scholar
 

Liu, F. et al. Room-temperature ferroelectricity in CuInP2S6 ultrathin flakes. Nat. Commun. 7, 12357 (2016).

Article 
PubMed 
PubMed Central 
CAS 

Google Scholar
 

Ding, B. et al. Observation of magnetic skyrmion bubbles in a van der Waals ferromagnet Fe3GeTe2. Nano Lett. 20, 868–873 (2020).

Article 
PubMed 
CAS 

Google Scholar
 

Zhang, Y. et al. Ferroelectric polarization-enhanced performance of flexible CuInP2S6 piezoelectric nanogenerator for biomechanical energy harvesting and voice recognition applications. Adv. Funct. Mater. 33, 2214745 (2023).

Article 
CAS 

Google Scholar
 

Olaniyan, I. et al. Switchable topological polar states in epitaxial BaTiO3 nanoislands on silicon. Nat. Commun. 15, 10047 (2024).

Article 
PubMed 
PubMed Central 
CAS 

Google Scholar
 

Lukyanchuk, I. et al. Hopfions emerge in ferroelectrics. Nat. Commun. 11, 2433 (2020).

Article 
PubMed 
CAS 

Google Scholar
 

Lukyanchuk, I. et al. Topological foundations of ferroelectricity. Phys. Rep. 1110, 1–56 (2025).

Article 
CAS 

Google Scholar
 

Tikhonov, Y. et al. Controllable skyrmion chirality in ferroelectrics. Sci. Rep. 10, 8657 (2020).

Article 
PubMed 
PubMed Central 
CAS 

Google Scholar
 

Govinden, V. et al. Stability of ferroelectric bubble domains. Phys. Rev. Mater. 7, L011401 (2023).

Article 
CAS 

Google Scholar
 

Steffes, J. J. et al. Thickness scaling of ferroelectricity in BiFeO3 by tomographic atomic force microscopy. Proc. Natl Acad. Sci. USA 116, 2413–2418 (2019).

Article 
PubMed 
PubMed Central 
CAS 

Google Scholar
 

Pereira Gonçalves, M. A. et al. Theoretical guidelines to create and tune electric skyrmion bubbles. Sci. Adv. 5, eaau7023 (2019).

Article 
PubMed 
PubMed Central 

Google Scholar
 

Lu, L. et al. Topological defects with distinct dipole configurations in PbTiO3/SrTiO3 multilayer films. Phys. Rev. Lett. 120, 177601 (2018).

Article 
PubMed 

Google Scholar
 

Mizzi, C. A. et al. Does flexoelectricity drive triboelectricity? Phys. Rev. Lett. 123, 116103 (2019).

Article 
PubMed 
CAS 

Google Scholar
 

Park, S. M. et al. Selective control of multiple ferroelectric switching pathways using a trailing flexoelectric field. Nat. Nanotechnol. 13, 366–370 (2018).

Article 
PubMed 
CAS 

Google Scholar
 

Lin, S. Q. et al. Electron transfer driven by tip-induced flexoelectricity in contact electrification. J. Phys. D: Appl. Phys. 55, 315502 (2022).

Article 
CAS 

Google Scholar
 

Zhang, Y. X. et al. Strain manipulation of ferroelectric skyrmion bubbles in a freestanding PbTiO3 film: a phase field simulation. Phys. Rev. B 105, 224101 (2022).

Article 
CAS 

Google Scholar
 

Junquera, J. et al. Topological phases in polar oxide nanostructures. Rev. Mod. Phys. 95, 025001 (2023).

Article 
CAS 

Google Scholar
 

Velický, M. et al. Mechanism of gold-assisted exfoliation of centimeter-sized transition-metal dichalcogenide monolayers. ACS Nano 12, 10463–10472 (2018).

Article 
PubMed 

Google Scholar
 

Kresse, G. et al. Ab initio molecular dynamics for liquid metals. Phys. Rev. B 47, 558–561 (1993).

Article 
CAS 

Google Scholar
 

Kresse, G. et al. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comp. Mater. Sci. 6, 15–50 (1996).

Article 
CAS 

Google Scholar
 

Kresse, G. et al. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169–11186 (1996).

Article 
CAS 

Google Scholar
 

Gonze, X. Adiabatic density-functional perturbation theory. Phys. Rev. A 52, 1096–1114 (1995).

Article 
PubMed 
CAS 

Google Scholar
 

Wang, L. et al. Flexoelectronics of centrosymmetric semiconductors. Nat. Nanotechnol. 15, 661–667 (2020).

Article 
PubMed 
CAS 

Google Scholar
 

Zhang, C. et al. Intrinsic ultrahigh negative Poisson’s ratio in two-dimensional ferroelectric ABP2X6 materials. Acta Phys.-Chim. Sin. 35, 1128–1133 (2019).

Article 

Google Scholar
 

Liang, C. B. et al. Measurement of the flexoelectric coefficients in van der Waals materials with separation of piezoelectricity. Smart Mater. Struct. 34, 025042 (2025).

Article 
CAS 

Google Scholar