Influences of Topological Defect on Spin Hall Effect

TL;DR

This paper investigates how topological defects, like cosmic strings, influence the spin Hall effect, revealing defect-induced spin currents and corrections to spin-Hall conductivity through a theoretical framework.

Contribution

It introduces a theoretical analysis of the impact of topological defects on spin transport and calculates the correction to spin-Hall conductivity caused by cosmic strings.

Findings

Topological defects induce spin-dependent currents.

Spin-Hall conductivity is corrected linearly with cosmic string mass density.

The approach uses Foldy-Wouthuysen transformation and an extended Drude model.

Abstract

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.