Smart local orbitals for efficient calculations within density functional theory and beyond

TL;DR

This paper introduces a method to generate reduced local orbitals in density functional theory calculations, enabling efficient post-processing and interpretation of electronic properties while maintaining high accuracy.

Contribution

The authors develop a subdiagonalization approach to obtain local orbitals that simplify the Hamiltonian and facilitate efficient analysis beyond standard DFT calculations.

Findings

Nearly block-diagonal Hamiltonian in LO basis

Subset of LOs captures physics around Fermi level

Efficient post-processing without loss of accuracy

Abstract

Localized basis sets in the projector augmented wave formalism allow for computationally efficient calculations within density functional theory (DFT). However, achieving high numerical accuracy requires an extensive basis set, which also poses a fundamental problem for the interpretation of the results. We present a way to obtain a reduced basis set of atomic orbitals through the subdiagonalization of each atomic block of the Hamiltonian. The resulting local orbitals (LOs) inherit the information of the local crystal field. In the LO basis, it becomes apparent that the Hamiltonian is nearly block-diagonal, and we demonstrate that it is possible to keep only a subset of relevant LOs which provide an accurate description of the physics around the Fermi level. This reduces to some extent the redundancy of the original basis set, and at the same time it allows one to perform post-processing of DFT calculations, ranging from the interpretation of electron transport to extracting effective tight-binding Hamiltonians, very efficiently and without sacrificing the accuracy of the results.