Regensburg 2022 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 16: Correlated Electrons: Method Development

TT 16.1: Invited Talk

Wednesday, September 7, 2022, 09:30–10:00, H10

Multimethod, multimessenger approaches to models of strong correlations — •Thomas Schäfer — Max Planck Research Group ``Theory of Strongly Correlated Quantum Matter" (SCQM), Max Planck Institute for Solid State Research, Stuttgart, Germany

The Hubbard model is the paradigmatic model for electronic correlations. In this talk I present a general framework for the reliable calculation of its properties, which we coined multi-method, multi-messenger approach. I will illustrate the power of this approach with three recent studies: (i) an extensive synopsis of arguably all available finite-temperature methods for the half-filled Hubbard model on a simple square lattice in its weak-coupling regime, fully clarifying the impact of spin fluctuations and tracking their footprints on the one- and two-particle level, (ii) a complementary subset of those applied to the Hubbard model on a triangular geometry, exhibiting the intriguing interplay of geometric frustration (magnetism) and strong correlations (Mottness) and (iii) a multi-method study of a model for magnetism in infinite-layer nickelates. These examples may work as a blueprint of similar future studies of strongly correlated systems.