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TT: Fachverband Tiefe Temperaturen

TT 5: Correlated Electrons: Method Development

TT 5.2: Talk

Monday, March 27, 2023, 09:45–10:00, HSZ 204

Competing instabilities with fRG in highly symmetric triangular lattice Hubbard models — •Hannes Braun — Max Planck Institute for Solid State Research

Motivated by, e.g., simulations via cold atomic gases and twisted multi-layer transition metal dichalcogenides, we consider Hubbard models with SU(N)*SU(M) symmetry. Such highly symmetric systems with additional degrees of freedom offer possibilities for novel types of symmetry-broken phases and their competition. To analyse the competing correlated phases of the resulting Hubbard models, we generalise the functional Renormalization Group (fRG) approach for correlated fermionic systems to efficiently incorporate the high symmetries. The truncated unity fRG provides us with unbiased fluctuation diagnostics and allows us to analyse the interplay between charge, spin, and pairing instabilities on equal footing. We present the new set of SU(N)*SU(M)-symmetric fRG equations and first results for the two-dimensional Hubbard model on the triangular lattice.

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