TY - JOUR A1 - Zantout, Karim A1 - Backes, Steffen A1 - Valentí, Roser T1 - Two-particle self-consistent method for the multi-orbital Hubbard model T2 - Annalen der Physik N2 - 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. KW - correlated electrons KW - multi-orbital Hubbard model KW - non-perturbative methods Y1 - 2021 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/63871 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-638711 SN - 1521-3889 N1 - R.V. acknowledges the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) for funding through TRR 288 - 422213477 (project B05). VL - 533 IS - 2, art. 2000399 SP - 1 EP - 19 PB - Wiley-VCH CY - Berlin ER -