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September 28, 2005Physical Review LettersOpen Access

Z2Topological Order and the Quantum Spin Hall Effect

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Authors

CKC. L. KaneCalifornia University of PennsylvaniaEME. J. MeléCalifornia University of Pennsylvania

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Overview

Theoretical study reveals a novel topological invariant defining the quantum spin hall state in graphene, indicating a distinct electronic phase protected by time reversal symmetry.

Key Points

  • The quantum spin hall phase constitutes a novel electronic state characterized by gapless edge states and bulk band gaps, distinguishing it from conventional insulating materials.
  • Analysis of a two band model of graphene demonstrates that time reversal invariant Hamiltonians generate a novel topological invariant analogous to Chern number classifications.
  • May enable classification of multiband and interacting systems, providing a general theoretical foundation to characterize topological states with an electronic band gap.

Cite This Study

Kane et al. (2005) studied this question.

synapsesocial.com/papers/69001fcdbc792ed11ff301d0https://doi.org/10.1103/physrevlett.95.146802
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