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(d−2) -Dimensional Edge States of Rotation Symmetry Protected Topological States
Open accessAbstract
We study fourfold rotation-invariant gapped topological systems with time-reversal symmetry in two and three dimensions (d=2, 3). We show that in both cases nontrivial topology is manifested by the presence of the (d-2)-dimensional edge states, existing at a point in 2D or along a line in 3D. For fermion systems without interaction, the bulk topological invariants are given in terms of the Wannier centers of filled bands and can be readily calculated using a Fu-Kane-like formula when inversion symmetry is also present. The theory is extended to strongly interacting systems through the explicit construction of microscopic models having robust (d-2)-dimensional edge states.
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Cites
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Topological Insulators in Three Dimensions
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Quantized electric multipole insulators
Benalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Science · doi:10.1126/science.aah6442 · Cited by 2,029
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Topological crystalline insulators in the SnTe material class
Hsieh, T. H., Lin, H., Liu, J., Duan, W., Bansil, A., & Fu, L. (2012) · Nature Communications · doi:10.1038/ncomms1969 · Cited by 1,449
Cited by
Benalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Physical Review B · doi:10.1103/physrevb.96.245115 · Cited by 1,389
Higher-order topology in bismuth
Schindler, F., Wang, Z., Vergniory, M. G., Cook, A. M., Murani, A., Sengupta, S., Kasumov, A. Y., Deblock, R., Jeon, S., Drozdov, I., et al. (2018) · Nature Physics · doi:10.1038/s41567-018-0224-7 · Cited by 837
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
Xie, B.-Y., Su, G.-X., Wang, H.-F., Su, H., Shen, X.-P., Zhan, P., Lu, M.-H., Wang, Z.-L., & Chen, Y.-F. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.233903 · Cited by 594
Higher-order topological insulators and superconductors protected by inversion symmetry
Khalaf, E. (2018) · Physical Review B · doi:10.1103/physrevb.97.205136 · Cited by 528
Metadata
- Authors
- Song, Z., Fang, Z., & Fang, C.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2017-12-11
- Volume
- 119
- Issue
- 24
- Pages
- 246402-246402
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2743972233
- Cited by
- 1,039
- References
- 5
- FWCI
- 43.43
- Type
- journal article
- Language
- en
- Open access
- green
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