Topological Crystalline Insulators
Open accessAbstract
The recent discovery of topological insulators has revived interest in the band topology of insulators. In this Letter, we extend the topological classification of band structures to include certain crystal point group symmetry. We find a class of three-dimensional "topological crystalline insulators" which have metallic surface states with quadratic band degeneracy on high symmetry crystal surfaces. These topological crystalline insulators are the counterpart of topological insulators in materials without spin-orbit coupling. Their band structures are characterized by new topological invariants. We hope this work will enlarge the family of topological phases in band insulators and stimulate the search for them in real materials.
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The crystal symmetry of Pb1-xSnxTe that is critical for the topological crystalline insulator phase is based on the sodium chloride structure, space group Fm-3m (225).
“The crystal group symmetry of Pb 1 À x Sn x Te, critical for the realization of the topological crystalline insulator (TCI) phase 14 , is based on the sodium chloride structure (space group Fm 3m (225)).”
From Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSnxTe (2012) · cites this paper as [14]
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- Authors
- Fu, L.
- Affiliations
- Harvard University (US)
- Corresponding author
- Fu, Liang
- ORCID
- Fu, Liang
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-03-08
- Volume
- 106
- Issue
- 10
- Pages
- 106802-106802
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2078822726
- Cited by
- 2,095
- References
- 2
- Citations by year
- 2026: 76 · 2025: 136 · 2024: 142 · 2023: 177 · 2022: 184 · 2021: 185 · 2020: 277 · 2019: 183 · 2018: 153 · 2017: 135 · 2016: 123 · 2015: 126 · 2014: 107 · 2013: 65 · 2012: 18
- FWCI
- 34.13
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Surface and Thin Film Phenomena
- Keywords
- topological crystalline insulators, topological insulators, band topology, metallic surface states, topological invariants, band insulator, spin-orbit coupling
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