Influences of Topological Defect on Spin Hall Effect

Jian-hua Wang, Kai Ma, Kang Li

Published 2013-01-18, updated 2013-04-08Version 2

We study the influence of topological defect on the spin current as well as the spin Hall effect. We find that the nontrivial deformation of the space-time due to topological defect can generate a spin dependent current which then induces an imbalanced accumulation of spin states on the edges of sample. The corresponding spin-Hall conductivity has also been calculated for the topological defect of a cosmic string. Comparing to the ordinary value, a correction which is linear with mass density of the cosmic string appears. Our approach to the dynamics of non-relativistic spinor in the presence of a topological defect is based on the Foldy-Wouthuysen transformation. The spin current is obtained in by using the extended Drude model which is independent of the scattering mechanism.