Interaction effect on topological classification of superconductors in two dimensions

Hong Yao, Shinsei Ryu

Research output: Contribution to journalArticlepeer-review

121 Scopus citations


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.

Original languageEnglish (US)
Article number064507
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number6
StatePublished - Aug 12 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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