# Electron transport in high-entropy alloys: Al$_{x}$CrFeCoNi as a case study

## TL;DR

This study investigates how structural changes in Al$_{x}$CrFeCoNi high-entropy alloys affect their electrical transport properties, using first-principles simulations that align well with experimental data.

## Contribution

It provides a comprehensive analysis of transport properties across different alloy compositions and phases, highlighting the dominant role of chemical disorder in scattering mechanisms.

## Key findings

- Residual resistivities match experimental data across compositions.
- Anomalous Hall resistivity is accurately predicted by simulations.
- Chemical disorder is the main scattering mechanism.

## Abstract

The high-entropy alloys Al$_{x}$CrFeCoNi exist over a broad range of Al concentrations ($0 < x < 2$). With increasing Al content their structure is changed from the fcc to bcc phase. We investigate the effect of such structural changes on transport properties including the residual resistivity and the anomalous Hall resistivity. We have performed a detailed comparison of the first-principles simulations with available experimental data. We show that the calculated residual resistivities for all studied alloy compositions are in a fair agreement with available experimental data as concerns both the resistivity values and concentration trends. We emphasize that a good agreement with experiment was obtained also for the anomalous Hall resistivity. We have completed study by estimation of the anisotropic magnetoresistance, spin-disorder resistivity, and Gilbert damping. The obtained results prove that the main scattering mechanism is due to the intrinsic chemical disorder whereas the effect of spin polarization on the residual resistivity is appreciably weaker.