Symmetry-based indicators of band topology in the 230 space groups
Harvard University · University of California, Berkeley · +3 more institutions
Abstract
The interplay between symmetry and topology leads to a rich variety of electronic topological phases, protecting states such as the topological insulators and Dirac semimetals. Previous results, like the Fu-Kane parity criterion for inversion-symmetric topological insulators, demonstrate that symmetry labels can sometimes unambiguously indicate underlying band topology. Here we develop a systematic approach to expose all such symmetry-based indicators of band topology in all the 230 space groups. This is achieved by first developing an efficient way to represent band structures in terms of elementary basis states, and then isolating the topological ones by removing the subset of atomic insulators, defined by…
Citation impact
- FWCI
- 43.00
- Percentile
- 100%
- References
- 37
Authors
3- HCHoi Chun PoCorresponding
Harvard University, University of California, Berkeley
- AVAshvin Vishwanath
Harvard University Press, Dana-Farber/Harvard Cancer Center, University of California, Berkeley
- HWHaruki Watanabe
The University of Tokyo
Topics & keywords
- Topology (electrical circuits)
- Topological insulator
- Symmetry (geometry)
- Dirac (video compression format)
- Space (punctuation)
- Wannier function
- Symmetry protected topological order