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Existence of Majorana-Fermion Bound States on Disclinations and the Classification of Topological Crystalline Superconductors in Two Dimensions
Open accessAbstract
We prove a topological criterion for the existence of a zero-energy Majorana bound state on a disclination, a rotation symmetry breaking point defect, in fourfold symmetric topological crystalline superconductors (TCS) in two dimensions. We first establish a complete topological classification of TCS using the Chern invariant and three integral rotation invariants. By analytically and numerically studying disclinations, we algebraically deduce a Z2 index that identifies the parity of the number of Majorana zero modes at a disclination. Surprisingly, we also find weakly protected Majorana fermions bound at the corners of superconductors with trivial Chern and weak invariants.
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Cites
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
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Anyons in an exactly solved model and beyond
Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
Topological insulators with inversion symmetry
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Topological field theory of time-reversal invariant insulators
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Self-citationThe Universe in a Helium Droplet
Volovik, G. E. (2009) · doi:10.1093/acprof:oso/9780199564842.001.0001 · Cited by 2,632
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
Teo, J. C. Y., Fu, L., & Kane, C. L. (2008) · Physical Review B · doi:10.1103/physrevb.78.045426 · Cited by 761
Self-citation
Cited by
Classification of topological quantum matter with symmetries
Chiu, C.-K., Teo, J. C. Y., Schnyder, A. P., & Ryu, S. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.035005 · Cited by 2,736
Self-citationBenalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Physical Review B · doi:10.1103/physrevb.96.245115 · Cited by 1,389
Self-citationTopological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
Ando, Y., & Fu, L. (2015) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031214-014501 · Cited by 723
Topological protection of photonic mid-gap defect modes
Noh, J., Benalcazar, W. A., Huang, S., Collins, M. J., Chen, K. P., Hughes, T. L., & Rechtsman, M. C. (2018) · Nature Photonics · doi:10.1038/s41566-018-0179-3 · Cited by 630
Self-citationClassification of reflection-symmetry-protected topological semimetals and nodal superconductors
Chiu, C.-K., & Schnyder, A. P. (2014) · Physical Review B · doi:10.1103/physrevb.90.205136 · Cited by 339
Metadata
- Authors
- Teo, J. C. Y., & Hughes, T. L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2013-07-26
- Volume
- 111
- Issue
- 4
- Pages
- 047006-047006
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1564482230
- Cited by
- 174
- References
- 7
- FWCI
- 6.85
- Type
- journal article
- Language
- en
- Open access
- green
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- Teo, J. C. Y., & Hughes, T. L. (2013). Existence of Majorana-Fermion Bound States on Disclinations and the Classification of Topological Crystalline Superconductors in Two Dimensions. Physical Review Letters. https://doi.org/10.1103/physrevlett.111.047006
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