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Hasan, M. Z. & Kane, C. L. Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045–3067 (2010).
Qi, X.-L. & Zhang, S.-C. Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057 (2011).
Hasan, M. Z., Xu, S.-Y. & Bian, G. Topological insulators, topological superconductors and Weyl fermion semimetals: discoveries, perspectives and outlooks. Phys. Scr. 2015, 014001 (2015).
Grund, S. C., Hanusch, K. & Wolf, H. U. in Ullmann’s Encyclopedia of Industrial Chemistry (Wiley-VCH, 2005).
Norman, N. C. Chemistry of Arsenic, Antimony and Bismuth (Springer, 1998).
Zhang, F., Kane, C. L. & Mele, E. J. Surface states of topological insulators. Phys. Rev. B 86, 081303(R) (2012).
Bernevig, B. A. & Hughes, T. L. Topological Insulators and Topological Superconductors (Princeton Univ. Press, 2013).
Tang, F. et al. Efficient topological materials discovery using symmetry indicators. Nat. Phys. 15, 470–476 (2019).
Schindler, F. et al. Higher-order topological insulators. Sci. Adv. 4, eaat0346 (2018).
Benalcazar, W. A., Bernevig, B. A. & Hughes, T. L. Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators. Phys. Rev. B 96, 245115 (2017).
Song, Z., Fang, Z. & Fang, C. (d − 2)-dimensional edge states of rotation symmetry protected topological states. Phys. Rev. Lett. 119, 246402 (2017).
Zhang, F., Kane, C. L. & Mele, E. J. Surface state magnetization and chiral edge states on topological insulators. Phys. Rev. Lett. 110, 046404 (2013).
Fu, L. & Kane, C. L. Topological insulators with inversion symmetry. Phys. Rev. B 76, 045302 (2007).
Khalaf, E., Po, H. C., Vishwanath, A. & Watanabe, H. Symmetry indicators and anomalous surface states of topological crystalline insulators. Phys. Rev. X 8, 031070 (2018).
Kruthoff, J. et al. Topological classification of crystalline insulators through band structure combinatorics. Phys. Rev. X 7, 041069 (2017).
Zhang, P. et al. Topologically entangled Rashba-split Shockley states on the surface of grey arsenic. Phys. Rev. Lett. 118, 046802 (2017).
Bradlyn, B. et al. Topological quantum chemistry. Nature 547, 298–305 (2017).
Vergniory, M. G. et al. A complete catalogue of high-quality topological materials. Nature 566, 480–485 (2019).
Vergniory, M. G. et al. All topological bands of all nonmagnetic stoichiometric materials. Science 376, eabg9094 (2022).
Tang, S. et al. Quantum spin Hall state in monolayer 1T′-WTe2. Nat. Phys. 13, 683–687 (2017).
Yin, J.-X., Pan, S. H. & Hasan, M. Z. Probing topological quantum matter with scanning tunnelling microscopy. Nat. Rev. Phys. 3, 249 (2021).
Yang, F. et al. Spatial and energy distribution of topological edge states in single Bi(111) bilayer. Phys. Rev. Lett. 109, 016801 (2012).
Drozdov, I. K. et al. One-dimensional topological edge states of bismuth bilayers. Nat. Phys. 10, 664–669 (2014).
Pauly, C. et al. Subnanometre-wide electron channels protected by topology. Nat. Phys. 11, 338–343 (2015).
Wu, R. et al. Evidence for topological edge states in a large energy gap near the step edges on the surface of ZrTe5. Phys. Rev. X 6, 021017 (2016).
Li, X.-B. et al. Experimental observation of topological edge states at the surface step edge of the topological insulator ZrTe5. Phys. Rev. Lett. 116, 176803 (2016).
Wang, Z. et al. Topological edge states in a high-temperature superconductor FeSe/SrTiO3(001) film. Nat. Mater. 15, 968–973 (2016).
Sessi, P. et al. Robust spin-polarized midgap states at step edges of topological crystalline insulators. Science 354, 1269–1273 (2016).
Peng, L. et al. Observation of topological states residing at step edges of WTe2. Nat. Commun. 8, 659 (2017).
Liu, S. et al. Experimental observation of conductive edge states in weak topological insulator candidate HfTe5. APL Mater. 6, 121111 (2018).
Ugeda, M. M. et al. Observation of topologically protected states at crystalline phase boundaries in single-layer WSe2. Nat. Commun. 9, 3401 (2018).
Liu, R. Z. et al. Experimental observations indicating the topological nature of the edge states on HfTe5. Chin. Phys. Lett. 36, 117301 (2019).
Yin, J. X. et al. Quantum-limit Chern topological magnetism in TbMn6Sn6. Nature 583, 533 (2020).
Shumiya, N. et al. Evidence of a room-temperature quantum spin Hall edge state in a higher-order topological insulator. Nat. Mater. 21, 1111–1115 (2022).
Miller, D. L. et al. Observing the quantization of zero mass carriers in graphene. Science 324, 924–927 (2009).
Feldman, B. E. et al. Observation of a nematic quantum Hall liquid on the surface of bismuth. Science 354, 316–321 (2016).
Hanaguri, T., Igarashi, K. & Kawamura, M. Momentum-resolved Landau-level spectroscopy of Dirac surface state in Bi2Se3. Phys. Rev. B 82, 081305 (2010).
Okada, Y., Serbyn, M., Lin, H. & Walkup, D. Observation of Dirac node formation and mass acquisition in a topological crystalline insulator. Science 341, 1496–1499 (2013).
König, M. et al. The quantum spin Hall effect: theory and experiment. J. Phys. Soc. Jpn 77, 031007 (2008).
Shi, Y. et al. Imaging quantum spin Hall edges in monolayer WTe2. Sci. Adv. 5, eaat8799 (2019).
Dominguez, F. et al. Testing topological protection of edge states in hexagonal quantum spin Hall candidate materials. Phys. Rev. B 98, 161407(R) (2018).
Song, Z. et al. First principle calculation of the effective Zeeman’s couplings in topological materials. In Memorial Volume for Shoucheng Zhang Ch. 11, 263–281 (2021).
Fu, Y. S. et al. Observation of Zeeman effect in topological surface state with distinct material dependence. Nat. Commun. 7, 10829 (2016).
Schindler, F. et al. Higher-order topology in bismuth. Nat. Phys. 14, 918–924 (2018).
Teo, J. C. Y., Fu, L. & Kane, C. L. Surface states and topological invariants in three-dimensional topological insulators: Application to Bi1 − xSbx. Phys. Rev. B 78, 045426 (2008).
Hohenberg, P. & Kohn, W. Inhomogeneous electron gas. Phys. Rev. 136, B864 (1964).
Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169 (1996).
Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865 (1996).
Mostofi, A. et al. wannier90: a tool for obtaining maximally-localised Wannier functions. Comput. Phys. Commun. 178, 685 (2008).
Wu, Q., Zhang, S., Song, H.-F., Troyer, M. & Soluyanov, A. A. WannierTools: an open-source software package for novel topological materials. Comput. Phys. Commun. 224, 405 (2018).
Kokalj, A. XcrySDen—a new program for displaying crystalline structures and electron densities. J. Mol. Graph. Model. 17, 176–179 (1999).
Kokalj, A. Computer graphics and graphical user interfaces as tools in simulations of matter at the atomic scale. Comp. Mater. Sci. 28, 155–168 (2003).
Das, I. et al. Symmetry-broken Chern insulators and Rashba-like Landau-level crossings in magic-angle bilayer graphene. Nat. Phys. 17, 710–714 (2021).
Sheng, F. et al. Rashba valleys and quantum Hall states in few-layer black arsenic. Nature 593, 56–60 (2021).
Winkler, R. Spin–Orbit Coupling Effects in Two-dimensional Electron and Hole Systems, Vol. 191 (Springer, 2003).
O. Madelung, U. Rössler, M. Schulz (eds.) Non-Tetrahedrally Bonded Elements and Binary Compounds I (Springer, 1998).
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