# Weak Localization in Systems with Chiral Spin Textures and Skyrmion Crystals

## TL;DR

This paper develops a theory for quantum interference effects on conductivity in two-dimensional systems with chiral spin textures, showing how skyrmions influence weak localization and magnetoresistance, aiding experimental detection.

## Contribution

It introduces a theoretical framework for understanding weak localization in systems with skyrmions and chiral spin textures, linking spin texture properties to magnetoresistance behavior.

## Key findings

- Spin dephasing rates depend on spin texture size.
- Anomalous magnetoresistance is influenced by spin texture distribution.
- Skyrmion crystals exhibit sign-alternating weak-antilocalization magnetoresistance.

## Abstract

Theory of interference-induced quantum corrections to conductivity is developed for two dimensional systems with chiral spin textures including skyrmions. The effect of exchange interaction between electrons and spin textures on weak localization of electronic waves is studied. The spin dephasing rates are calculated as functions of the spin texture size. The anomalous magnetoresistance is shown to be governed by the size and magnetization spatial distribution of the spin textures. The effect of average magnetization-induced spin splitting on weak localization is analyzed. The sign-alternating weak-antilocalization magnetoresistance is demonstrated for skyrmion crystals. We argue that analysis of the low-field magnetoresistance serves as an independent tool for an experimental detection of chiral spin textures and, in particular, skyrmions.