SPICE Workshop on Quantum Spinoptics, June 18th - June 20th 2024
Eugene Demler
This talk will review kinetic magnetism for the Fermi-Hubbard models in triangular lattices. Focus will be on the regime of strong interactions, t<<U. In such systems for densities close to $n=1$ dominant magnetic interactions arise from magnetic polaron dressing of charge carrier propagating in a spin incoherent Mott insulator. In the case of hole doping, antiferromagnetic polarons originate from kinetic frustration of individual holes in a triangular lattice. In the case electron doping, Nagaoka type ferromagnetic correlations are induced by propagating doublons. Results of the density matrix renormalization group analysis for the phase diagram of the Fermi Hubbard model on a triangular lattice with densities above half-filling, $1<n<2$ will also be reviewed.