# Conduction of surface electrons in a topological insulator with spatially random magnetization

## TL;DR

This paper investigates how spatially random magnetization affects the transport properties of surface electrons in topological insulators, focusing on scattering, relaxation time, and conductivity using Green functions.

## Contribution

It introduces a detailed analysis of electron transport in topological insulators with correlated random exchange fields, including relaxation times and conductivity calculations.

## Key findings

- Relaxation time due to magnetization fluctuations quantified.
- Longitudinal charge conductivity calculated with vertex corrections.
- Impact of structural defects on electron transport analyzed.

## Abstract

Using the Green functions method we study transport properties of surface electrons in topological insulators in the presence of a correlated random exchange field. Such an exchange field may be due to random magnetization with correlated fluctuations. We determine the relaxation time due to scattering from the magnetization fluctuations and from other structural defects. Then we calculate the longitudinal charge conductivity taking into account the contribution due to vertex correction.