# Improved Description of Perovskite Oxide Crystal Structure and Electronic Properties using Self-Consistent Hubbard $U$ Corrections from ACBN0

## TL;DR

This paper demonstrates that the ACBN0 method, which computes Hubbard U corrections self-consistently, accurately predicts the structural and electronic properties of transition metal perovskites at a lower computational cost than hybrid functionals.

## Contribution

The study shows that ACBN0 provides a more accurate and cost-effective way to describe perovskite oxides compared to traditional Hubbard U and hybrid functional methods.

## Key findings

- ACBN0 matches hybrid functional accuracy in structure and band gaps.
- ACBN0 outperforms conventional Hubbard U with literature values.
- ACBN0 is computationally cheaper than hybrid functionals.

## Abstract

The wide variety of complex physical behavior exhibited in transition metal oxides, particularly the perovskites A$B$O$_3$, makes them a material family of interest in many research areas, but the drastically different electronic structures possible in these oxides raises challenges in describing them accurately within density functional theory (DFT) and related methods. Here we evaluate the ability of the ACBN0, a recently developed first-principles approach to computing the Hubbard $U$ correction self-consistently, to describe the structural and electronic properties of the first-row transition metal perovskites with $\left(B=\textrm{V}-\textrm{Ni} \right)$. ACBN0 performs competitively with hybrid functional approaches such as the Heyd-Scuseria-Ernzerhof (HSE) functional even when they are optimized empirically, at a fraction of the computational cost. ACBN0 also describes both the structure and band gap of the oxides more accurately than a conventional Hubbard $U$ correction performed by using $U$ values taken from the literature.