Abstract
The quantum spin Hall (QSH) phase is a time reversal invariant electronic state with a bulk electronic band gap that supports the transport of charge and spin in gapless edge states. We show that this phase is associated with a novel Z2 topological invariant, which distinguishes it from an ordinary insulator. The Z2 classification, which is defined for time reversal invariant Hamiltonians, is analogous to the Chern number classification of the quantum Hall effect. We establish the Z2 order of the QSH phase in the two band model of graphene and propose a generalization of the formalism applicable to multiband and interacting systems.
Keywords
Topological insulatorGapless playbackInvariant (physics)PhysicsTopological orderChern classTopology (electrical circuits)Quantum mechanicsMathematical physicsQuantumCondensed matter physicsCombinatoricsMathematicsPure mathematics
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Publication Info
- Year
- 2005
- Type
- article
- Volume
- 95
- Issue
- 14
- Pages
- 146802-146802
- Citations
- 6059
- Access
- Closed
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Cite This
C. L. Kane,
E. J. Melé
(2005).
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>Topological Order and the Quantum Spin Hall Effect.
Physical Review Letters
, 95
(14)
, 146802-146802.
https://doi.org/10.1103/physrevlett.95.146802
Identifiers
- DOI
- 10.1103/physrevlett.95.146802