# Impact Ionization in $\beta-Ga_2O_3$

## TL;DR

This paper presents a first-principles theoretical study of impact ionization in $eta-Ga_2O_3$, revealing high-field transport properties and calculating ionization coefficients for device modeling.

## Contribution

It introduces a novel first-principles approach to compute impact ionization rates in $eta-Ga_2O_3$ using Wannier functions and Monte Carlo simulations.

## Key findings

- Impact ionization coefficients are calculated up to 8 MV/cm.
- The $eta-Ga_2O_3$ conduction band structure influences ionization rates.
- A fitting model for ionization coefficients is developed for device simulation.

## Abstract

A theoretical investigation of extremely high field transport in an emerging wide-bandgap material $\beta-Ga_2O_3$ is reported from first principles. The signature high-field effect explored here is impact ionization. Interaction between a valence-band electron and an excited electron is computed from the matrix elements of a screened Coulomb operator. Maximally localized Wannier functions (MLWF) are utilized in computing the impact ionization rates. A full-band Monte Carlo (FBMC) simulation is carried out incorporating the impact ionization rates, and electron-phonon scattering rates. This work brings out valuable insights on the impact ionization coefficient (IIC) of electrons in $\beta-Ga_2O_3$. The isolation of the $\Gamma$ point conduction band minimum by a significantly high energy from other satellite band pockets play a vital role in determining ionization co-efficients. IICs are calculated for electric fields ranging up to 8 MV/cm for different crystal directions. A Chynoweth fitting of the computed IICs is done to calibrate ionization models in device simulators.

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Source: https://tomesphere.com/paper/1705.09203