CPT theorem and classification of topological insulators and superconductors
Journal
Physical Review B - Condensed Matter and Materials Physics
Journal Volume
90
Journal Issue
24
Date Issued
2014
Author(s)
DOI
PRBMD
Abstract
We present a systematic topological classification of fermionic and bosonic topological phases protected by time-reversal, particle-hole, parity, and combination of these symmetries. We use two complementary approaches: one in terms of K-theory classification of gapped quadratic fermion theories with symmetries, and the other in terms of the K-matrix theory description of the edge theory of (2+1)-dimensional bulk theories. The first approach is specific to free fermion theories in general spatial dimensions while the second approach is limited to two spatial dimensions but incorporates effects of interactions. We also clarify the role of the CPT theorem in the classification of symmetry-protected topological phases, and show, in particular, that the topological superconductors discussed before are related by the CPT theorem. © 2014 American Physical Society.
Publisher
American Physical Society
Type
journal article