Domain wall scattering in an interacting one-dimensional electron gas

TL;DR

This paper investigates how a magnetic domain wall affects electron transport in a one-dimensional interacting electron system, revealing divergence in resistance at low temperatures due to spin-flip scattering.

Contribution

It models the impact of a magnetic domain wall on a Luttinger liquid, highlighting the divergence of resistance with decreasing temperature for repulsive interactions.

Findings

Domain wall resistance diverges at low temperatures for repulsive interactions.

Spin-flip scattering modifies impurity-like effects in a Luttinger liquid.

Potential implications for low-temperature magnetoresistance in 1D systems.

Abstract

We study the transport in a Luttinger liquid coupled to a magnetic chain containing a Bloch domain wall. We compute the leading correction to the adiabatic limit of a long domain wall, which causes no scattering. We show that the problem is reminiscent of an impurity in a Luttinger liquid, but with a different dependence on the interaction parameters due to spin-flip scattering. For repulsive interactions, we find that the domain wall resistance diverges with decreasing temperature. This may be relevant for the design of one-dimensional systems with large magnetoresistance at low temperatures.