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arXiv · 1902.03892

Curvature-induced quantum spin-Hall effect on a M\"obius strip

Kyriakos Flouris·Miller Mendoza Jimenez·Hans J. Herrmann
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Abstract

The quantum Hall effect has been predicted and discovered in various condensed-matter systems. A promising quantum material for such topological effects is graphene. We report the numerical observation of a curvature-induced spin-Hall effect in a monolayer graphene M\"obius strip. The solution of the Dirac equation on the nontrivial and non-Euclidean manifold reveals that despite the absence of a Hall current, a spin-Hall current is a natural consequence for such a topology, as predicted from symmetry arguments.

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Kyriakos Flouris, Miller Mendoza Jimenez, Hans J. Herrmann. 2019-02-08. Curvature-induced quantum spin-Hall effect on a M\"obius strip. https://doi.org/10.1103/physrevb.105.235122

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