TY - JOUR
T1 - Interaction effect on topological classification of superconductors in two dimensions
AU - Yao, Hong
AU - Ryu, Shinsei
PY - 2013/8/12
Y1 - 2013/8/12
N2 - We introduce a class of superconductors (SCs) in two spatial dimensions with time-reversal symmetry and reflection (i.e., mirror) symmetry. In the absence of interactions, topological classes of these SCs are distinguished by an integer-valued (Z) topological invariant. When interactions are included, we show that the topological classification is modified to Z8. This clearly demonstrates that interactions can have a qualitative effect on topological classifications of gapped states of matter in more than one dimension.
AB - We introduce a class of superconductors (SCs) in two spatial dimensions with time-reversal symmetry and reflection (i.e., mirror) symmetry. In the absence of interactions, topological classes of these SCs are distinguished by an integer-valued (Z) topological invariant. When interactions are included, we show that the topological classification is modified to Z8. This clearly demonstrates that interactions can have a qualitative effect on topological classifications of gapped states of matter in more than one dimension.
UR - http://www.scopus.com/inward/record.url?scp=84883312952&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84883312952&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.88.064507
DO - 10.1103/PhysRevB.88.064507
M3 - Article
AN - SCOPUS:84883312952
SN - 1098-0121
VL - 88
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 6
M1 - 064507
ER -