# Chiral spin ordering of electron gas in solids with broken time reversal symmetry

## TL;DR

This paper demonstrates that electrostatic disorder in systems with broken time reversal symmetry induces universal chiral spin textures, enabling electrical control of spin chirality in two-dimensional electron gases with spin-orbit coupling.

## Contribution

It introduces a microscopic theory explaining the formation of chiral spin textures due to electrostatic disorder in systems with broken time reversal symmetry.

## Key findings

- Electrostatic disorder leads to skyrmion-like spin textures.
- Analytical spin-density response functions were derived.
- Electrical control of spin chirality is possible.

## Abstract

In this work we manifest that an electrostatic disorder in conducting systems with broken time reversal symmetry universally leads to a chiral ordering of the electron gas giving rise to skyrmion-like textures in spatial distribution of the electron spin density. We describe a microscopic mechanism underlying the formation of the equilibrium chiral spin textures in two-dimensional systems with spin-orbit interaction and exchange spin splitting. We have obtained analytical expressions for spin-density response functions and have analyzed both local and non-local spin response to electrostatic perturbations for systems with parabolic-like and Dirac electron spectra. With the proposed theory we come up with a concept of controlling spin chirality by electrical means.