Spin-dependent interactions in orbital-density-dependent functionals: non-collinear Koopmans spectral functionals

Bibliographic Details
Title: Spin-dependent interactions in orbital-density-dependent functionals: non-collinear Koopmans spectral functionals
Authors: Marrazzo, Antimo, Colonna, Nicola
Source: Physical Review Research 6 (3), 033085 (2024)
Publication Year: 2024
Collection: Condensed Matter
Subject Terms: Condensed Matter - Materials Science
More Details: The presence of spin-orbit coupling or non-collinear magnetic spin states can have dramatic effects on the ground-state and spectral properties of materials, in particular on the band structure. Here, we develop non-collinear Koopmans-compliant functionals based on Wannier functions and density-functional perturbation theory, targeting accurate spectral properties in the quasiparticle approximation. Our non-collinear Koopmans-compliant theory involves functionals of four-component orbitals densities, that can be obtained from the charge and spin-vector densities of Wannier functions. We validate our approach on four emblematic non-magnetic and magnetic semiconductors where the effect of spin-orbit coupling goes from small to very large: the III-IV semiconductor GaAs, the transition-metal dichalcogenide WSe$_2$, the cubic perovskite CsPbBr$_3$, and the ferromagnetic semiconductor CrI$_3$. The predicted band gaps are comparable in accuracy to state-of-the-art many-body perturbation theory and include spin-dependent interactions and screening effects that are missing in standard diagrammatic approaches based on the random phase approximation. While the inclusion of orbital- and spin-dependent interactions in many-body perturbation theory requires self-screening or vertex corrections, they emerge naturally in the Koopmans-functionals framework.
Comment: 16 pages, 6 figures, 4 tables + supplementary material (5 pages): added simulations and discussion for ferromagnetic bulk CrI3, added references, fixed typos
Document Type: Working Paper
DOI: 10.1103/PhysRevResearch.6.033085
Access URL: http://arxiv.org/abs/2402.14575
Accession Number: edsarx.2402.14575
Database: arXiv
More Details
DOI:10.1103/PhysRevResearch.6.033085