Curvature-induced quantum spin-Hall effect on a Möbius strip
Kyriakos Flouris, Miller Mendoza Jimenez, Hans J. Herrmann
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.
Topics & Concepts
Quantum spin Hall effectQuantum Hall effectSpin Hall effectGrapheneSpin (aerodynamics)PhysicsCurvatureCondensed matter physicsSymmetry (geometry)Topology (electrical circuits)Quantum mechanicsDirac (video compression format)GeometryMathematicsElectronSpin polarizationCombinatoricsThermodynamicsNeutrinoGraphene research and applicationsTopological Materials and PhenomenaQuantum and electron transport phenomena