The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Reflection-Symmetric Second-Order Topological Insulators and Superconductors
Open accessAbstract
Second-order topological insulators are crystalline insulators with a gapped bulk and gapped crystalline boundaries, but with topologically protected gapless states at the intersection of two boundaries. Without further spatial symmetries, five of the ten Altland-Zirnbauer symmetry classes allow for the existence of such second-order topological insulators in two and three dimensions. We show that reflection symmetry can be employed to systematically generate examples of second-order topological insulators and superconductors, although the topologically protected states at corners (in two dimensions) or at crystal edges (in three dimensions) continue to exist if reflection symmetry is broken. A three-dimensional second-order topological insulator with broken time-reversal symmetry shows a Hall conductance quantized in units of e^{2}/h.
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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
Fu, L., Kane, C. L., & Mele, E. J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.106803 · Cited by 4,651
Quantized electric multipole insulators
Benalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Science · doi:10.1126/science.aah6442 · Cited by 2,029
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
Observation of a phononic quadrupole topological insulator
Serra-Garcia, M., Peri, V., Süsstrunk, R., Bilal, O. R., Larsen, T., Villanueva, L. G., & Huber, S. D. (2018) · Nature · doi:10.1038/nature25156 · Cited by 982
Teo, J. C. Y., Fu, L., & Kane, C. L. (2008) · Physical Review B · doi:10.1103/physrevb.78.045426 · Cited by 761
Xu, S.-Y., Liu, C., Alidoust, N., Neupane, M., Qian, D., Belopolski, I., Denlinger, J. D., Wang, Y. J., Lin, H., Wray, L. A., et al. (2012) · Nature Communications · doi:10.1038/ncomms2191 · Cited by 691
Possible States for a Three-Dimensional Electron Gas in a Strong Magnetic Field
Halperin, B. I. (1987) · Japanese Journal of Applied Physics · doi:10.7567/jjaps.26s3.1913 · Cited by 321
Chalker, J. T., & Dohmen, A. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.4496 · Cited by 144
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
- Langbehn, J., Peng, Y., Trifunovic, L., von Oppen, F., & Brouwer, P. W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2017-12-11
- Volume
- 119
- Issue
- 24
- Pages
- 246401-246401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2745740700
- Cited by
- 973
- References
- 9
- FWCI
- 43.02
- Type
- journal article
- Language
- en
- Open access
- green
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- Langbehn, J., Peng, Y., Trifunovic, L., von Oppen, F., & Brouwer, P. W. (2017). Reflection-Symmetric Second-Order Topological Insulators and Superconductors. Physical Review Letters. https://doi.org/10.1103/physrevlett.119.246401
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