Curvature-induced quantum spin-Hall effect on a M?bius strip

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 Mobius 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.

Automated summary

In this study, we report the numerical observation of a curvature-induced spin-Hall effect in a monolayer graphene Mobius strip. By solving the Dirac equation on a nontrivial and non-Euclidean manifold, we reveal that a spin-Hall current is a natural consequence for such a topology, despite the absence of a Hall current.