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

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.

22 pages, 10 figures

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Cited by in corpus (12)

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• Nonlocal corrections to dynamical mean-field theory from the two-particle self-consistent method
• Improved effective vertices in the multi-orbital Two-Particle Self-Consistent method from Dynamical Mean-Field Theory
• An Improved Two-Particle Self-Consistent Approach
• Dynamical Mean Field Theory extension to the nonequilibrium Two-Particle Self-Consistent approach
• Spin Hall conductivity in the Kane-Mele-Hubbard model at finite temperature
• Modified $GW$ Method in Electronic Systems
• Spin correlations in the bilayer Hubbard model with perpendicular electric field
• Multi-orbital two-particle self-consistent approach -- strengths and limitations
• Antiferromagnetic pseudogap in the two-dimensional Hubbard model deep in the renormalized classical regime
• Homogeneous Electron Liquid in Arbitrary Dimensions: Exchange and Correlation Using the Singwi-Tosi-Land-Sjölander Approach