TY - JOUR
T1 - Braiding statistics and classification of two-dimensional charge-2m superconductors
AU - Wang, Chenjie
PY - 2016/8/15
Y1 - 2016/8/15
N2 - We study braiding statistics between quasiparticles and vortices in two-dimensional charge-2m (in units of e ) superconductors that are coupled to a Z2m dynamical gauge field, where m is any positive integer. We show that there exist 16m types of braiding statistics when m is odd, but only 4m types when m is even. Based on the braiding statistics, we obtain a classification of topological phases of charge-2m superconductors - or formally speaking, a classification of symmetry-protected topological phases, as well as invertible topological phases, of two-dimensional gapped fermions with Zf2m symmetry. Interestingly, we find that there is no nontrivial fermionic symmetry-protected topological phase with Z4f symmetry.
AB - We study braiding statistics between quasiparticles and vortices in two-dimensional charge-2m (in units of e ) superconductors that are coupled to a Z2m dynamical gauge field, where m is any positive integer. We show that there exist 16m types of braiding statistics when m is odd, but only 4m types when m is even. Based on the braiding statistics, we obtain a classification of topological phases of charge-2m superconductors - or formally speaking, a classification of symmetry-protected topological phases, as well as invertible topological phases, of two-dimensional gapped fermions with Zf2m symmetry. Interestingly, we find that there is no nontrivial fermionic symmetry-protected topological phase with Z4f symmetry.
UR - http://www.scopus.com/inward/record.url?scp=84985916214&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84985916214&origin=recordpage
U2 - 10.1103/PhysRevB.94.085130
DO - 10.1103/PhysRevB.94.085130
M3 - 21_Publication in refereed journal
VL - 94
JO - Physical Review B: covering condensed matter and materials physics
JF - Physical Review B: covering condensed matter and materials physics
SN - 2469-9950
IS - 8
M1 - 085130
ER -