Electron Transport through Disordered Domain Walls: Coherent and Incoherent Regimes

TL;DR

This paper investigates how disorder and scattering affect electron transport through magnetic domain walls in nanowires, revealing different conductance behaviors in coherent and incoherent regimes and highlighting the impact of disorder on magnetoconductance.

Contribution

It develops a scattering matrix formalism to analyze both coherent and incoherent electron transport through disordered domain walls, providing new insights into conductance variations.

Findings

Disorder increases spin-mixing and reduces adiabaticity.

Incoherent scattering reduces conductance similar to giant magnetoresistance.

Coherent regime shows conductance enhancement due to suppressed localization.

Abstract

We study electron transport through a domain wall in a ferromagnetic nanowire subject to spin-dependent scattering. A scattering matrix formalism is developed to address both coherent and incoherent transport properties. The coherent case corresponds to elastic scattering by static defects, which is dominant at low temperatures, while the incoherent case provides a phenomenological description of the inelastic scattering present in real physical systems at room temperature. It is found that disorder scattering increases the amount of spin-mixing of transmitted electrons, reducing the adiabaticity. This leads, in the incoherent case, to a reduction of conductance through the domain wall as compared to a uniformly magnetized region which is similar to the giant magnetoresistance effect. In the coherent case, a reduction of weak localization, together with a suppression of spin-reversing scattering amplitudes, leads to an enhancement of conductance due to the domain wall in the regime of strong disorder. The total effect of a domain wall on the conductance of a nanowire is studied by incorporating the disordered regions on either side of the wall. It is found that spin-dependent scattering in these regions increases the domain wall magnetoconductance as compared to the effect found by considering only the scattering inside the wall. This increase is most dramatic in the narrow wall limit, but remains significant for wide walls.