# Spin accumulation from the non-Abelian Aharonov-Bohm effect

## TL;DR

This paper predicts that non-Abelian gauge flux in $[110]$ quantum wells with Dresselhaus SOC causes tunable spin accumulation at edges, which can be experimentally observed via Kerr measurements.

## Contribution

It demonstrates that non-Abelian gauge flux induces tunable edge spin accumulation in quantum wells with Dresselhaus SOC, linking gauge theory with spintronics.

## Key findings

- Spin accumulation occurs at sample edges due to non-Abelian gauge flux.
- The sign of spin accumulation can be controlled by the Dresselhaus SOC constant.
- Predicted effects are measurable with current Kerr measurement techniques.

## Abstract

Recently, it has been shown that the spin-orbit coupling (SOC) of the Dresselhaus type in $[110]$ quantum wells can be mathematically removed by a non-Abelian gauge transformation. In the presence of an additional uniform magnetic field, such a non-Abelian gauge flux leads to a spin accumulation at the edges of the sample, where the relative sign of the spin accumulation between the edges can be tuned by the sign of the Dresselhaus SOC constant. Our prediction can be tested by Kerr measurements within the available experimental sensitivities.