Dresden 2020 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 62: Correlated Electrons: Method Development 2

TT 62.4: Vortrag

Donnerstag, 19. März 2020, 15:45–16:00, HSZ 204

Dimensional crossovers in the Hubbard model based on TUFRG — •Jannis Ehrlich1,2, Jacob Beyer1, and Carsten Honerkamp11Institut für Theoretische Festkörperphysik, RWTH Aachen, Otto-Blumenthal-Straße, 52074 Aachen, Germany — 2Peter Grünberg Institut, Forschungszentrum Jülich, 52425 Jülich, Germany

Many correlated electron materials are layered systems, with varying degree of anisotropy or two-dimensionality. Resolving all three dimensions is desirable for a proper theoretical modelling but often faces computational limitations. In this talk we show that the truncated unity functional renormalization group (TUFRG) can be used to explore dimensional crossovers from one to three spatial dimensions in model systems. It employes a parquet-like channel decomposition of the effective interaction in combination with a form factor expansions of the wavevector dependence which allows us to reach relevant wavevctor resolution at bearable numerical costs by exploiting the beneficial parallelizability of the recently developed TUfRG library. As example we explore the ground state phase diagram of the anisotropic three-dimensional Hubbard model, exposing the role of dimensionality for the strength of unconventional Cooper pairing.

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