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TT: Fachverband Tiefe Temperaturen

TT 37: Correlated Electrons: Poster

TT 37.20: Poster

Mittwoch, 19. März 2025, 15:00–18:00, P4

Low-energy description of the SU(3) Hubbard model on the triangular lattice — •Linus Hein — Ludwig-Maximilians-Universität München

It has been a longstanding goal to better understand strongly correlated fermionic systems. Extensive studies have been conducted on these systems, particularly on the square lattice Hubbard model. To find out which of the results are artefacts of this fine-tuned model, it is sensible to analyze slightly modified models with for instance enlarged symmetry. We consider an SU(3) antiferromagnet on a tripartite triangular lattice near one third filling. Previous works explored a non-linear sigma model and its emerging Goldstone modes. Building on these results, we derive a linear spin-wave description of the low-energy excitations. Furthermore, we consider the hole-doped system and derive an effective Hamiltonian to describe the emergent magnetic polarons. Thereby, we broaden our understanding of strongly correlated fermionic systems, in a setting that can be experimentally explored using e.g. ultracold atom experiments.

Keywords: SU(3) Symmetry; Magnetic Polarons; Triangular Lattice; Hubbard Model