Z2 topological order and the quantum spin Hall effect.

By C. L. Kane, E. Mele. Physical Review Letters, 2005

3,869 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/0f280ad2b97aaa0d0cd6ce12a45eb47998cbf6ea

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In Atomic and Molecular Physics, and Optics

1. Ashvin Vishwanath
2. Masatoshi Sato
3. Nathan Goldman
4. Y. Ando
5. Shoucheng Zhang
6. K. Kawabata
7. D. Vanderbilt
8. Xiao-Liang Qi

In Materials Chemistry

1. Ashvin Vishwanath
2. Shoucheng Zhang
3. Xiao-Liang Qi
4. E. Rossi
5. Y. Ando
6. E. Hwang
7. D. Vanderbilt
8. S. Adam

Citations in the corpus

• Higher-order topological insulators (2017, methodology): “The phase diagram of Hamiltonian (1) is shown in Fig.”