# A Koopmans-compliant screened exchange potential with correct asymptotic behavior for semiconductors

## TL;DR

This paper introduces a new screened exchange potential for semiconductors that is physically grounded, Koopmans-compliant, and accurately predicts band gaps, with a tunable parameter suitable for alloys.

## Contribution

A novel Koopmans-compliant screened exchange potential with correct asymptotic behavior for semiconductors, adaptable to alloys and based on microscopic screening properties.

## Key findings

- Accurately reproduces a wide range of band gaps.
- Maintains a constant tunable parameter across isovalent substitutions.
- Demonstrates proper asymptotic behavior and physical grounding.

## Abstract

The performance of density functional theory depends largely on the approximation applied for the exchange functional. We propose here a novel screened exchange potential for semiconductors, with parameters based on the physical properties of the underlying microscopic screening and obeying the requirements for proper asymptotic behavior. We demonstrate that this functional is Koopmans-compliant and reproduces a wide range of band gaps. We also show, that the only tunable parameter of the functional can be kept constant upon changing the cation or the anion isovalently, making the approach suitable for treating alloys.