# Computational study of Electron Paramagnetic Resonance parameters for Mg and Zn impurities in $\beta$-Ga$_2$O$_3$

## TL;DR

This computational study analyzes EPR parameters for Mg and Zn impurities in $eta$-Ga$_2$O$_3$, revealing site preferences and providing theoretical predictions aligned with experimental data.

## Contribution

It identifies Zn's preference for tetrahedral sites and offers detailed EPR parameter predictions, advancing understanding of impurity behavior in $eta$-Ga$_2$O$_3$.

## Key findings

- Mg prefers octahedral sites with good experimental agreement
- Zn prefers tetrahedral sites with new theoretical predictions
- Distinct EPR signatures for different impurity sites

## Abstract

A computational study of the electron paramagnetic resonance (EPR) $g$-tensors and hyperfine tensors in Mg and Zn doped $\beta$-Ga$_2$O$_3$ is presented. While Mg has been found previously to prefer the octahedral site, we find here that Zn prefers the tetrahedral substitutional site. The EPR signatures are found to be distinct for the two sites. Good agreement with experiment is found for the $g$-tensor and hyperfine interaction for Mg$_\mathrm{Ga2}$ and predictions are made for the Zn case.