Many-body generalization of the Z2 topological invariant for the quantum spin hall effect

Sung Sik Lee, Shinsei Ryu

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

We propose a many-body generalization of the Z2 topological invariant for the quantum spin Hall insulator, which does not rely on single-particle band structures. The invariant is derived as a topological obstruction that distinguishes topologically distinct many-body ground states on a torus. It is also expressed as a Wilson loop of the SU(2) Berry gauge field, which is quantized due to time-reversal symmetry.

Original languageEnglish (US)
Article number186807
JournalPhysical review letters
Volume100
Issue number18
DOIs
StatePublished - May 7 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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