Seminarium Fizyki Materii Skondensowanej

Inspired by recent development in experiments with cold atoms we presenttheoretical results on correlated fermions on a lattice with spin-dependentdisorder. In the first part we present the thermodynamical properties ofthe system away from half-filling, showing: magnetization, double occupancyand static susceptibilities. Interestingly the spin-dependent disordertriggers the finite magnetization in the system. The second part is devotedto description of the system at half-filling and at T=0. The centralresult is the paramagnetic phase diagram showing the metallic, Mottinsulating, and Anderson localized states.