Dresden 2017 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 81: Correlated Electrons: Chiral Magnets

TT 81.3: Talk

Friday, March 24, 2017, 10:00–10:15, HSZ 304

Mott physics of the frustrated triangular lattice Hubbard model with SU(3) fermions and fluxes — •Carolin Boos¹, Frédéric Mila², and Kai Schmidt¹ — ¹FAU Erlangen-Nürnberg, Deutschland — ²EPF Lausanne, Schweiz

Ultra cold atoms allow to study fermions with SU(N)-symmetry on artificial lattices with fluxes. The theoretical description of such systems is given by the SU(N)-Hubbard model. In the strong-coupling limit the fermions exhibit a Mott phase, that can be described by effective spin models. Here we go beyond the leading-order Heisenberg model and use a linked-cluster expansion up to order five to derive effective models for the square and triangular lattice for general N and flux Φ.

In this work we investigate the Mott phase of the frustrated triangular lattice Hubbard model for N = 3 but general flux Φ by applying exact diagonalization on the effective spin model. To this end we exploit the full SU(3) symmetry allowing to treat periodic clusters up to 21 sites. Tuning the value of the flux Φ, we find a rich Mott phase including ordered and chiral phases.