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TT: Fachverband Tiefe Temperaturen

TT 19: Poster Session: Correlated Electrons 1

TT 19.7: Poster

Montag, 20. März 2017, 15:00–19:00, P2-EG

Ward identities versus two-particle self-consistency — •Friedrich Krien¹, Erik G.C.P. van Loon², Hartmut Hafermann³, Alexander I. Lichtenstein¹, and Mikhail I. Katsnelson² — ¹Institute of Theoretical Physics, University of Hamburg, 20355 Hamburg, Germany — ²Radboud University, Institute for Molecules and Materials, NL-6525 AJ Nijmegen, The Netherlands — ³Mathematical and Algorithmic Sciences Lab, France Research Center, Huawei Technologies Co. Ltd., 92100 Boulogne Billancourt, France

Some diagrammatic extensions of (E)DMFT (EDMFT+GW, Trilex, Dual Boson and others) introduce retarded interactions into the Anderson-Impurity model to fix a two-particle self-consistency condition. We take a close look at the fate of conservation laws under this pretext and demonstrate that Φ-derivability à la Baym-Kadanoff is not a sufficient criterion for spin conservation. We propose direct numerical validation to verify Ward identities.