Regensburg 2019 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 44: Correlated Electrons: Method Development
TT 44.13: Talk
Wednesday, April 3, 2019, 18:15–18:30, H7
An fRG library for high performance computing — •Jannis Ehrlich1,2, Daniel Rohe3, and Carsten Honerkamp2 — 1Peter Grünberg Institut and Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, 52425 Jülich, Germany — 2Institut für Theoretische Festkörperphysik, RWTH Aachen, Otto-Blumenthal-Straße, 52074 Aachen, Germany — 3Jülich Supercomputing Centre, Forschungszentrum Jülich GmbH, D-52425 Jülich, Germany
The functional renormalization group (fRG) is a versatile tool to investigate different aspects of correlated electron systems, for example the emergence and competition of ordering tendencies and their energy scales. Although the fRG enables an unbiased investigation of correlations without favouring a specific channel in contrast to Bethe-Salpeter equations, numerical implementations of the fRG easily become intricate and require sufficient testing. Hence the fRG has not been as widely used as other numerical schemes for correlated electrons. In order to facilitate an easier application, we present a fRG-library which can be used readily by simply specifying the model for investigation. The calculation of the fRG flow is done inside the fRG-library, which is parallelized by MPI and OpenMP. As a first example, we present the code performance obtained for the 2D Hubbard model with and without the recently developed Truncated Unity formalism. In addition, as a demonstration of the code versatility, we present the phase diagram of the 3D Hubbard model and first results of a Rashba model with Zeeman splitting.