Journal
ANNALEN DER PHYSIK
Volume 533, Issue 2, Pages -Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/andp.202000399
Keywords
correlated electrons; multi-orbital Hubbard model; non-perturbative methods
Categories
Funding
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [TRR 288 - 422213477]
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This review introduces the non-perturbative two-particle self-consistent method (TPSC) and its multi-orbital generalization for Hubbard models, discussing its particular features on interacting models in comparison to dynamical mean-field theory results.
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-regardless of its simplicity-is exactly solvable only in a few limiting cases and approximate many-body methods are required for its solution. In this review, 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, is presented. A detailed derivation of the multi-orbital generalization of TPSC is introduced here and particular features of the method on exemplary interacting models in comparison to dynamical mean-field theory results are discussed.
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