Berlin 2015 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 86: Correlated Electrons: (General) Theory 2

TT 86.7: Vortrag

Donnerstag, 19. März 2015, 11:00–11:15, H 3005

Steps towards the application of two-particle irreducible functional renormalization group — •Jan Frederik Rentrop1,2, Severin Georg Jakobs1,2, and Volker Meden1,21Institut für Theorie der Statistischen Physik, RWTH Aachen University, Germany — 2JARA FIT - Fundamentals of Future Information Technology, 52056 Aachen, Germany

Functional renormalization group (RG) is an established method for the investigation of non-relativistic correlated quantum many-body problems in low dimensions. Commonly, the functional RG flow equations are derived in generating functional formalism and formulated for one-particle irreducible (1PI) vertex functions. However, generating functionals have long been written in a 2PI form as well. Based on these, proposals for 2PI functional RG schemes have been made. These mainly differ from one another with respect to the introduction of the flow parameter. It is remarkable that hardly any calculations for particular systems employing these proposed schemes have been published. Having performed toy model calculations for the quantum anharmonic oscillator, our recent work aims for a study of the single impurity Anderson model in equilibrium. The goal of this talk is to place 2PI schemes into a broader context (how they relate to other methods) and to present some data to evaluate the performance of the 2PI schemes in comparison to other schemes, in particular 1PI ones.

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