Topological insulators on a Mobius Strip

Dung-Hai Lee; Langtao Huang

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Topological insulators on a Mobius Strip

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arxiv 1107.1411 v1 pith:WRSZJFQJ submitted 2011-07-07 cond-mat.mes-hall

Topological insulators on a Mobius Strip

Langtao Huang , Dung-Hai Lee This is my paper

classification cond-mat.mes-hall

keywords insulatormobiusstripchernhallspintopologicalbandstructure

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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.

Topological insulators on a Mobius Strip

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