arXiv:0708.1639 Abstract | arXiv Analytics

arXiv:0708.1639 [cond-mat.mes-hall]Abstract References Reviews Resources

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

Published 2007-08-13, updated 2008-05-02Version 2

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.

Comments: 4 pages, 3 figures (final version to appear in Phys. Rev. Lett.)

Journal: Phys. Rev. Lett. 100, 186807 (2008)

DOI: 10.1103/PhysRevLett.100.186807

Categories: cond-mat.mes-hall

Subjects: 73.43.-f, 72.25.Hg, 85.75.-d

Keywords: quantum spin hall effect, z2 topological invariant, many-body generalization, distinct many-body ground states, topologically distinct many-body ground

Tags: journal article

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