I will discuss recent theoretical progress in understanding the role played by the electron-electron interactions in orbital magnetism, and highlight results obtained for the flat bands of the magic angle twisted bilayer graphene, as well as for some twisted transition metal dichalcogenides. I will also discuss the effect of the external out-of-plane magnetic field on the correlated ground...
This talk will review kinetic magnetism in the Fermi Hubbard model 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...