Topological insulators on a Mobius strip

Lang-Tao Huang and Dung-Hai Lee
Phys. Rev. B 84, 193106 – Published 29 November 2011
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Abstract

We study the two-dimensional Chern insulator and spin Hall insulator on a nonorientable Riemann surface, the Mobius strip, where the usual band-structure topological invariant is not defined. We show that while the flow pattern of edge currents can detect the twist of the Mobius strip in the case of Chern insulator, it can not do so for the spin Hall insulator.

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  • Received 8 November 2011

DOI:https://doi.org/10.1103/PhysRevB.84.193106

©2011 American Physical Society

Authors & Affiliations

Lang-Tao Huang1 and Dung-Hai Lee2,3

  • 1Department of Physics, Tsinghua University, Beijing 100084, China
  • 2Department of Physics,University of California at Berkeley, Berkeley, California 94720, USA
  • 3Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA

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Vol. 84, Iss. 19 — 15 November 2011

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