Abstract:
We determine the universal phase diagram of a spin-imbalanced Fermi gas close to an open-channel dominated Feshbach resonance, based on fully self-consistent computations within a Luttinger-Ward approach. Apart from the transition to a homogeneous superfluid we detect a Fulde-Ferrell-Larkin-Ovchinnikov instability. In the quantum critical regime at unitarity we calculate the heat conductivity of the balanced gas from a Boltzmann equation combined with a 1/N-expansion.