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.
@article{arxiv.1902.03892,
title = {Curvature-induced quantum spin-Hall effect on a M\"obius strip},
author = {Kyriakos Flouris and Miller Mendoza Jimenez and Hans J. Herrmann},
journal= {arXiv preprint arXiv:1902.03892},
year = {2022}
}
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arXiv admin note: text overlap with arXiv:1810.02102