Complete theory of symmetry-based indicators of band topology
HC Po, A Vishwanath…�- Nature communications, 2017 - ui.adsabs.harvard.edu
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�…
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�…