# Monte Carlo study of magnetoresistance in a chiral soliton lattice

## TL;DR

This study uses Monte Carlo simulations to analyze magnetoresistance and spin structures in a chiral soliton lattice within a one-dimensional Kondo lattice model, revealing negative magnetoresistance linked to soliton density.

## Contribution

It provides a detailed computational analysis of the magnetic and transport properties of chiral soliton lattices, connecting theoretical results with experimental observations.

## Key findings

- Negative magnetoresistance proportional to soliton number
- Transition from helical to soliton to ferromagnetic states with increasing magnetic field
- Temperature and field dependence of spin structure and resistivity

## Abstract

Monoaxial chiral magnets can form a peculiar noncollinear spin structure called the chiral soliton lattice in an applied magnetic field perpendicular to the helical axis. We study magnetic properties and electrical transport in the chiral soliton lattice by a Monte Carlo simulation for a one-dimensional Kondo lattice model including the Dzyaloshinskii-Moriya interaction between classical localized spins. We show that the model exhibits a helical spin structure at a zero magnetic field, which turns into the chiral soliton lattice, and finally, to a forced ferromagnetic state with increasing the external magnetic field. In the chiral soliton lattice state, we find negative magnetoresistance proportional to the number of solitons at low temperature, which corroborates the spin scattering of electrons by chiral solitons. We also discuss the temperature and magnetic field dependence of the spin structure factor and electrical resistivity, in comparison with experiments for CrNb$_{3}$S$_{6}$.