The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Symmetry-based indicators of band topology in the 230 space groups
Open accessAbstract
The interplay between symmetry and topology leads to a rich variety of electronic topological phases, protecting states such as the topological insulators and Dirac semimetals. Previous results, like the Fu-Kane parity criterion for inversion-symmetric topological insulators, demonstrate that symmetry labels can sometimes unambiguously indicate underlying band topology. Here we develop a systematic approach to expose all such symmetry-based indicators of band topology in all the 230 space groups. This is achieved by first developing an efficient way to represent band structures in terms of elementary basis states, and then isolating the topological ones by removing the subset of atomic insulators, defined by the existence of localized symmetric Wannier functions. Aside from encompassing all earlier results on such indicators, including in particular the notion of filling-enforced quantum band insulators, our theory identifies symmetry settings with previously hidden forms of band topology, and can be applied to the search for topological materials.
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Cites
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
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Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface
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Quantum Spin Hall Insulator State in HgTe Quantum Wells
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Self-citationTopological insulators with inversion symmetry
Fu, L., & Kane, C. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045302 · Cited by 4,252
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Topological crystalline insulators in the SnTe material class
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Cited by
Bradlyn, B., Elcoro, L., Cano, J., Vergniory, M. G., Wang, Z., Felser, C., Aroyo, M. I., & Bernevig, B. A. (2017) · Nature · doi:10.1038/nature23268 · Cited by 1,624
From DFT to machine learning: recent approaches to materials science–a review
Schleder, G. R., Padilha, A. C. M., Acosta, C. M., Costa, M., & Fazzio, A. (2019) · Journal of Physics: Materials · doi:10.1088/2515-7639/ab084b · Cited by 852
Comprehensive search for topological materials using symmetry indicators
Tang, F., Po, H. C., Vishwanath, A., & Wan, X. (2019) · Nature · doi:10.1038/s41586-019-0937-5 · Cited by 761
Self-citationHigher-order topological insulators and superconductors protected by inversion symmetry
Khalaf, E. (2018) · Physical Review B · doi:10.1103/physrevb.97.205136 · Cited by 528
Faithful tight-binding models and fragile topology of magic-angle bilayer graphene
Po, H. C., Zou, L., Senthil, T., & Vishwanath, A. (2019) · Physical Review B · doi:10.1103/physrevb.99.195455 · Cited by 394
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Metadata
- Authors
- Po, H. C., Vishwanath, A., & Watanabe, H.
- Venue
- Nature Communications
- Published
- 2017-06-30
- Volume
- 8
- Issue
- 1
- Pages
- 50-50
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W2594211876
- Cited by
- 791
- References
- 12
- FWCI
- 31.56
- Type
- journal article
- Language
- en
- Open access
- gold
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