Self-consistent calculation of localized orbital scaling correction for correct electron densities and energy level alignment in density functional theory

TL;DR

This paper introduces a new self-consistent field approach for the localized orbital scaling correction in density functional theory, improving the accuracy of electron densities and energy level alignment in large systems.

Contribution

A novel SCF method for LOSC in DFT that overcomes convergence issues and accurately describes electron densities and energy levels.

Findings

Reliable SCF-LOSC calculations with correct Hamiltonian

Improved description of electron densities and energy levels

Enhanced performance in molecular dissociation processes

Abstract

The recently developed localized orbital scaling correction (LOSC) method shows the ability to systematically and size-consistently reduce the delocalization error existing in conventional density functional approximations (DFAs). Applying LOSC to conventional DFAs (LOSC-DFAs) gives much improvement for the description of related properties, including band gaps, total energies and photoemission spectra. However, concern and issue remain: the application of LOSC to DFAs is mainly through a post self-consistent field (SCF) manner, and few results from applying LOSC to DFAs with a SCF manner have been reported. The reason is the originally proposed SCF approach for SCF-LOSC calculation uses an approximate Hamiltonian and encounters convergence problems easily in practice. In this work, we develop a new SCF approach with a correct Hamiltonian and achieve reliable SCF-LOSC calculations. We demonstrate the capability of the new SCF approach for SCF-LOSC to correctly describe the electron densities, total energies and energy level alignment for the molecular dissociation process, while conventional DFAs or LOSC-DFAs with post-SCF calculations show large errors. This work demonstrates that the new SCF approach for SCF-LOSC would be a promising method to study problems for correct electron densities and energy level alignment in large systems.