Topological insulators on a Mobius Strip

ORAL

Abstract

We study the two dimensional Chern insulator and spin Hall insulator on a non-orientable Riemann surface, the Mobius strip, where the usual bandstructure 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 in spin Hall insulator [1]. \\[4pt] [1] Lang-Tao Huang and Dung-Hai Lee, Phys. Rev. B \textbf{84}, 193106 (2011)

Authors

  • Lang-Tao Huang

    Department of Physics, Tsinghua University, Beijing 100084, China

  • Dung-hai Lee

    Department of Physics,University of California at Berkeley, Berkeley, CA 94720, USA, University of California, Berkeley