2013/07/31 by Cenke Xu
Materials Science · Physics and Astronomy · #Algorithm #Computer science #Graphene research and applications #Quantum many-body systems #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.88.205137
published as Phys. Rev. B 88, 205137 (2013) · 6 pages, 1 figure
openalex publication_date 2013/11/25 · openalex created_date 2016/06/24 · arxiv created 2017/01/30 · arxiv updated 2017/01/31 · openalex updated_date 2026/08/05
We study three-dimensional Z2 topological phases enriched by Z2T time-reversal symmetry with bosonic bulk excitations. Some of these phases can be constructed by simply coupling the three-dimensional symmetry protected topological phases with Z2\ifmmode×\else\texttimes\fiZ2T symmetry to a deconfined Z2 gauge field. Besides these simple phases, we also construct two special root phases, whose boundary can have an extra Z2 topological order in addition to their bulk topological order, and the boundary anyon excitations can have fractional time-reversal transformation T with T4=\ensuremath-1. In particular, the boundary e and m anyons of one of the two root phases are interchanged under time-reversal transformation, and they must be degenerate and orthogonal with each other. Eventually we obtain (ℤ2)2\ensuremath\bigoplus(ℤ2)2 classification (8 different phases) for Z2T-enriched Z2 topological phases with bosonic bulk excitations in three dimensions.