Basov, D. N., Averitt, R. D. & Hsieh, D. Towards properties on demand in quantum materials. Nat. Mater. 16, 1077–1088 (2017).

Article 
ADS 

Google Scholar
 

de la Torre, A. et al. Colloquium: nonthermal pathways to ultrafast control in quantum materials. Rev. Mod. Phys. 93, 041002 (2021).

Article 
ADS 

Google Scholar
 

Ma, Q., Grushin, A. G. & Burch, K. S. Topology and geometry under the nonlinear electromagnetic spotlight. Nat. Mater. 20, 1601–1614 (2021).

Article 
ADS 

Google Scholar
 

Bao, C., Tang, P., Sun, D. & Zhou, S. Light-induced emergent phenomena in 2D materials and topological materials. Nat. Rev. Phys. 4, 33–48 (2022).

Article 

Google Scholar
 

Karni, O., Esin, I. & Dani, K. M. Through the lens of a momentum microscope: viewing light-induced quantum phenomena in 2D materials. Adv. Mater. 35, 2204120 (2023).

Article 

Google Scholar
 

Zhai, E. et al. The rise of semi-metal electronics. Nat. Rev. Electr. Eng. 1, 497–515 (2024).

Article 

Google Scholar
 

Soluyanov, A. A. et al. Type-II Weyl semimetals. Nature 527, 495–498 (2015).

Article 
ADS 

Google Scholar
 

Wang, C. et al. Observation of Fermi arc and its connection with bulk states in the candidate type-II Weyl semimetal WTe2. Phys. Rev. B 94, 241119 (2016).

Article 
ADS 

Google Scholar
 

Feng, B. et al. Spin texture in type-II Weyl semimetal WTe2. Phys. Rev. B 94, 195134 (2016).

Article 
ADS 

Google Scholar
 

Bruno, F. Y. et al. Observation of large topologically trivial Fermi arcs in the candidate type-II Weyl semimetal WTe2. Phys. Rev. B 94, 121112 (2016).

Article 
ADS 

Google Scholar
 

Sánchez-Barriga, J. et al. Surface Fermi arc connectivity in the type-II Weyl semimetal candidate WTe2. Phys. Rev. B 94, 161401(R) (2016).

Article 
ADS 

Google Scholar
 

Sante, D. D. et al. Three-dimensional electronic structure of the type-II Weyl semimetal WTe2. Phys. Rev. Lett. 119, 026403 (2017).

Article 
ADS 

Google Scholar
 

Li, P. et al. Evidence for topological type-II Weyl semimetal WTe2. Nat. Commun. 8, 2150 (2017).

Article 
ADS 

Google Scholar
 

Zhang, Q. et al. Lifshitz transitions induced by temperature and surface doping in type-II Weyl semimetal candidate Td-WTe2. Phys. Status Solidi Rapid Res. Lett. 11, 1700209 (2017).

Article 
ADS 

Google Scholar
 

Lin, C.-L. et al. Visualizing type-II Weyl points in tungsten ditelluride by quasiparticle interference. ACS Nano 11, 11459–11465 (2017).

Article 

Google Scholar
 

Zhang, W. et al. Quasiparticle interference of surface states in the type-II Weyl semimetal WTe2. Phys. Rev. B 96, 165125 (2017).

Article 
ADS 

Google Scholar
 

Yuan, Y. et al. Quasiparticle interference of Fermi arc states in the type-II Weyl semimetal candidate WTe2. Phys. Rev. B 97, 165435 (2018).

Article 
ADS 

Google Scholar
 

Sie, E. J. et al. An ultrafast symmetry switch in a Weyl semimetal. Nature 565, 61–66 (2019).

Article 
ADS 

Google Scholar
 

Hein, P. et al. Mode-resolved reciprocal space mapping of electron-phonon interaction in the Weyl semimetal candidate Td-WTe2. Nat. Commun. 11, 2613 (2020).

Article 
ADS 

Google Scholar
 

Guan, M.-X., Wang, E., You, P.-W., Sun, J.-T. & Meng, S. Manipulating Weyl quasiparticles by orbital-selective photoexcitation in WTe2. Nat. Commun. 12, 1885 (2021).

Article 
ADS 

Google Scholar
 

Das, P. K. et al. Electronic properties of candidate type-II Weyl semimetal WTe2. A review perspective. Electron. Struct. 1, 014003 (2019).

Article 
ADS 

Google Scholar
 

Kwon, H. et al. Quasiparticle interference and impurity resonances on WTe2. Nano Res. 13, 2534–2540 (2020).

Article 

Google Scholar
 

Wu, Y. et al. Observation of Fermi arcs in the type-II Weyl semimetal candidate WTe2. Phys. Rev. B 94, 121113 (2016).

Article 
ADS 

Google Scholar
 

Caputo, M. et al. Dynamics of out-of-equilibrium electron and hole pockets in the type-II Weyl semimetal candidate WTe2. Phys. Rev. B 97, 115115 (2018).

Article 
ADS 

Google Scholar
 

Ji, S., Granas, O. & Weissenrieder, J. Manipulation of stacking order in Td-WTe2 by ultrafast optical excitation. ACS Nano 15, 8826–8835 (2021).

Article 

Google Scholar
 

Qi, Y. et al. Traversing double-well potential energy surfaces: photoinduced concurrent intralayer and interlayer structural transitions XTe2 (X = Mo, W). ACS Nano 16, 11124–11135 (2022).

Article 

Google Scholar
 

Drueke, E., Yang, J. & Zhao, L. Observation of strong and anisotropic nonlinear optical effects through polarization-resolved optical spectroscopy in the type-II Weyl semimetal Td-WTe2. Phys. Rev. B 104, 064304 (2021).

Article 
ADS 

Google Scholar
 

Soranzio, D. et al. Strong modulation of carrier effective mass in WTe2 via coherent lattice manipulation. npj 2D Mater. Appl. 6, 71 (2022).

Article 

Google Scholar
 

Tang, S. et al. Quantum spin Hall state in monolayer 1T′-WTe2. Nat. Phys. 13, 683–687 (2022).

Article 
ADS 

Google Scholar
 

Fei, Z. et al. Ferroelectric switching of a two-dimensional metal. Nature 560, 336–339 (2018).

Article 
ADS 

Google Scholar
 

Yang, Q., Wu, M. & Li, J. Origin of two-dimensional vertical ferroelectricity in WTe2 bilayer and multilayer. J. Phys. Chem. Lett. 9, 7160–7164 (2018).

Article 

Google Scholar
 

Ni, Z. et al. Mechanically tunable spontaneous vertical charge redistribution in few-layer WTe2. J. Phys. Chem. C 124, 2008–2012 (2020).

Article 

Google Scholar
 

Xiao, J. et al. Berry curvature memory through electrically driven stacking transitions. Nat. Phys. 16, 1028–1034 (2020).

Article 

Google Scholar
 

Rossi, A. et al. Two phase transitions driven by surface electron doping in WTe2. Phys. Rev. B 102, 121110(R) (2020).

Article 
ADS 

Google Scholar
 

Chen, W.-H. et al. Noncentrosymmetric characteristics of defects on WTe2. Phys. Rev. B 106, 075428 (2022).

Article 
ADS 

Google Scholar
 

Tao, Y., Schneeloch, J. A., Aczel, A. A. & Louca, D. Td to 1T′ structural phase transition in the WTe2 Weyl semimetal. Phys. Rev. B 102, 060103 (2020).

Article 
ADS 

Google Scholar
 

Zhou, Y. et al. Pressure-induced Td to 1T′ structural phase transition in WTe2. AIP Adv. 6, 075008 (2016).

Article 
ADS 

Google Scholar
 

Jelic, V. et al. Ultrafast terahertz control of extreme tunnel currents through single atoms on a silicon surface. Nat. Phys. 13, 591–598 (2017).

Article 

Google Scholar
 

Peller, D. et al. Quantitative sampling of atomic-scale electromagnetic waveforms. Nat. Photon. 15, 143–147 (2021).

Article 
ADS 

Google Scholar
 

Cocker, T. L., Peller, D., Yu, P., Repp, J. & Huber, R. Tracking the ultrafast motion of a single molecule by femtosecond orbital imaging. Nature 539, 263–267 (2016).

Article 
ADS 

Google Scholar
 

Cocker, T. L., Jelic, V., Hillenbrand, R. & Hegmann, F. A. Nanoscale terahertz scanning probe microscopy. Nat. Photon. 15, 558–569 (2021).

Article 
ADS 

Google Scholar
 

Jelic, V. et al. Atomic-scale terahertz time-domain spectroscopy. Nat. Photon. 18, 898–904 (2024).

Article 

Google Scholar
 

He, B. et al. Coherent optical phonon oscillation and possible electronic softening in WTe2 crystals. Sci. Rep. 6, 30487 (2016).

Article 
ADS 

Google Scholar
 

Cocker, T. L. et al. An ultrafast terahertz scanning tunnelling microscope. Nat. Photon. 7, 620–625 (2013).

Article 
ADS 

Google Scholar
 

Ammerman, S. E. et al. Lightwave-driven scanning tunnelling spectroscopy of atomically precise graphene nanoribbons. Nat. Commun. 12, 6794 (2021).

Article 
ADS 

Google Scholar
 

Chen, C. J. Introduction to Scanning Tunneling Microscopy 3rd edn (Oxford Univ. Press, 2021).

Giessibl, F. J., Hembacher, S., Bielefeldt, H. & Mannhart, J. Subatomic features on the silicon (111)-(7 × 7) surface observed by atomic force microscopy. Science 289, 422–425 (2000).

Article 
ADS 

Google Scholar
 

Welker, J. & Giessibl, F. J. Revealing the angular symmetry of chemical bonds by atomic force microscopy. Science 336, 444–449 (2012).

Article 
ADS 

Google Scholar
 

Emmrich, M. et al. Subatomic resolution force microscopy reveals internal structure and adsorption sites of small iron clusters. Science 348, 308–311 (2015).

Article 
ADS 

Google Scholar
 

Chang, T.-R. et al. Prediction of an arc-tunable Weyl Fermion metallic state in MoxW1–xTe2. Nat. Commun. 7, 10639 (2016).

Article 
ADS 

Google Scholar
 

Kim, H.-J., Kang, S.-H., Hamada, I. & Son, Y.-W. Origins of the structural phase transitions in MoTe2 and WTe2. Phys. Rev. B 95, 180101(R) (2017).

Article 
ADS 

Google Scholar
 

Erba, A. et al. CRYSTAL23: a program for computational solid state physics and chemistry. J. Chem. Theory Comput. 19, 6891–6932 (2022).

Article 

Google Scholar
 

Bodo, F., Desmarais, J. K. & Erba, A. Spin current density functional theory of Weyl semimetals. Phys. Rev. B 105, 125108 (2022).

Article 
ADS 

Google Scholar
 

Schmucker, S. W. et al. Field-directed sputter sharpening for tailored probe materials and atomic-scale lithography. Nat. Commun. 3, 935 (2012).

Article 
ADS 

Google Scholar
 

Nečas, D. & Klapetek, P. Gwyddion: an open-source software for SPM data analysis. Cent. Eur. J. Phys. 10, 181–188 (2012).


Google Scholar
 

Hirori, H., Blanchard, F. & Tanaka, K. Single-cycle terahertz pulses with amplitudes exceeding 1 MV/cm generated by optical rectification in LiNbO3. Appl. Phys. Lett. 98, 091106 (2011).

Article 
ADS 

Google Scholar
 

Ammerman, S. E., Wei, Y., Everett, N., Jelic, V. & Cocker, T. L. Algorithm for subcycle terahertz scanning tunneling spectroscopy. Phys. Rev. B 105, 115427 (2022).

Article 
ADS 

Google Scholar
 

Lloyd-Hughes, J. et al. The 2021 ultrafast spectroscopic probes of condensed matter roadmap. J. Phys. Condens. Matter 33, 353001 (2021).

Article 

Google Scholar
 

Adamo, C. & Barone, V. Toward reliable density functional methods without adjustable parameters: the PBE0 model. J. Chem. Phys. 110, 6158–6170 (1999).

Article 
ADS 

Google Scholar
 

Grimme, S., Antony, J., Ehrlich, S. & Krieg, H. A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. J. Chem. Phys. 132, 154104 (2010).

Article 
ADS 

Google Scholar
 

Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).

Article 
ADS 

Google Scholar
 

Momma, K. & Izumi, F. VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data. J. Appl. Crystallogr. 44, 1272–1276 (2011).

Article 
ADS 

Google Scholar
 

Xu, S.-Y. et al. Discovery of Lorentz-violating type II Weyl fermions in LaAlGe. Sci. Adv. 3, e1603266 (2017).

Article 
ADS 

Google Scholar
 

Lv, Y.-Y. et al. Experimental observation of anisotropic Adler-Bell-Jackiw anomaly in type-II Weyl semimetal WTe1.98 crystals at the quasiclassical regime. Phys. Rev. Lett. 118, 096603 (2017).

Article 
ADS 

Google Scholar
 

Rüßmann, P. et al. Universal scattering response across the type-II Weyl semimetal phase diagram. Phys. Rev. B 97, 075106 (2018).

Article 
ADS 

Google Scholar