Abstract

I will discuss recent progress of the optical lattice emulators of the Fermi Hubbard model. The new feature of these experiments is availability of snapshots of many-body states with single particle resolution. I will summarize new insights from these experiments on the properties of doped Mott insulators in square and triangular lattices. Emphasis of the talk will be on kinetic magnetism for the Fermi-Hubbard models in triangular type lattices. In the the regime of strong local repulsion between fermions, magnetic interactions arise from propagation of charge carriers in the Mott insulating state. In the case of hole doping, antiferromagnetic polarons originate from kinetic frustration of individual holes in a triangular lattice. In the case of electron doping, Nagaoka type ferromagnetic correlations are induced by propagating doublons. I will discuss applications of these results to both TMDC moire materials and ultracold atoms in optical lattices.