Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-08-13
Phys. Rev. Lett. 100, 186807 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 3 figures (final version to appear in Phys. Rev. Lett.)
Scientific paper
10.1103/PhysRevLett.100.186807
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 the time-reversal symmetry.
Lee Sung-Sik
Ryu Shinsei
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