Phys. Rev. Lett. 100, 186807 (2008) [4 pages]
Many-Body Generalization of the Z2 Topological Invariant for the Quantum Spin Hall Effect
Abstract
References (21)
Citing Articles
Sung-Sik Lee1,2 and Shinsei Ryu11Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA
2Department of Physics and Astronomy, McMaster University, Hamilton, Ontario L8S 4M1, Canada
Received 26 October 2007; published 7 May 2008
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.
©2008 The American Physical Society
| URL: |
http://link.aps.org/doi/10.1103/PhysRevLett.100.186807
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| DOI: |
10.1103/PhysRevLett.100.186807 |
| PACS: |
73.43.-f;
72.25.Hg;
85.75.-d
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REFERENCES (21)
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