Curvature-induced quantum spin-Hall effect on a Möbius strip

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 Möbius 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.

arXiv admin note: text overlap with arXiv:1810.02102

References in corpus (7)

• The electronic properties of graphene
• Photonic Topological Anderson Insulators
• Electronic properties of curved graphene sheets
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Cited by in corpus (3)

• Dirac gauge theory for topological spinors in 3+1 dimensional networks
• Topology-induced symmetry breaking demonstrated in antiferromagnetic magnons on a Möbius strip
• Electronic states in quantum wires on a Möbius strip