English

Two-Particle Self-Consistent method for the multi-orbital Hubbard model

Strongly Correlated Electrons 2022-11-03 v3

Abstract

One of the most challenging problems in solid state systems is the microscopic analysis of electronic correlations. A paramount minimal model that encodes correlation effects is the Hubbard Hamiltonian, which -- albeit its simplicity -- is exactly solvable only in a few limiting cases and approximate many-body methods are required for its solution. In this review we present an overview on the non-perturbative Two-Particle Self-Consistent method (TPSC) which was originally introduced to describe the electronic properties of the single-band Hubbard model. We introduce here a detailed derivation of the multi-orbital generalization of TPSC and discuss particular features of the method on exemplary interacting models in comparison to dynamical mean-field theory results.

Keywords

Cite

@article{arxiv.2008.08098,
  title  = {Two-Particle Self-Consistent method for the multi-orbital Hubbard model},
  author = {Karim Zantout and Steffen Backes and Roser Valenti},
  journal= {arXiv preprint arXiv:2008.08098},
  year   = {2022}
}

Comments

22 pages, 10 figures

R2 v1 2026-06-23T17:56:48.304Z