The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Classification of two-dimensional topological crystalline superconductors and Majorana bound states at disclinations
Open accessAbstract
We classify discrete-rotation symmetric topological crystalline superconductors (TCS) in two dimensions and provide the criteria for a zero-energy Majorana bound state (MBS) to be present at composite defects made from magnetic flux, dislocations, and disclinations. In addition to the Chern number that encodes chirality, discrete rotation symmetry further divides TCS into distinct stable topological classes according to the rotation eigenspectrum of Bogoliubov-de Gennes quasiparticles. Conical crystalline defects are shown to be able to accommodate robust MBS when a certain combination of these bulk topological invariants is nontrivial as dictated by the index theorems proved within. The number parity of MBS is counted by a ${\mathbb{Z}}_{2}$-valued index that solely depends on the disclination and the topological class of the TCS. We also discuss the implications for corner-bound Majorana modes on the boundary of topological crystalline superconductors.
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Cites
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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
- Benalcazar, W. A., Teo, J. C. Y., & Hughes, T. L.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2014-06-05
- Volume
- 89
- Issue
- 22
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2135043961
- Cited by
- 198
- References
- 15
- FWCI
- 6.32
- Type
- journal article
- Language
- en
- Open access
- green
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