Calculated magneto-resistance due to domain walls : the role of impurity scattering

TL;DR

This paper analytically investigates the magneto-resistance caused by magnetic domain walls, focusing on impurity scattering effects and deriving explicit formulas for resistivity contributions.

Contribution

It provides a closed-form analytical model for domain wall resistivity considering impurity scattering, expanding on the Levy-Zhang approach.

Findings

Derived a closed-form expression for resistivity in domain walls.

Calculated the ratio of spin-up to spin-down resistivities.

Analyzed the dependence of resistivity on Coulomb and exchange scattering strengths.

Abstract

The existing Levy-Zhang approach to constructing the contribution to the resistivity of a magnetic domain wall is explored. The model equations are integrated analytically, giving a closed form expression for the resistivity when the current flows in the wall. The Boltzmann equation is solved analytically and the ratio of the spin up and spin down resistivities is calculated and its dependence on the strength of the Coulomb and exchange scattering potentials is elucidated.