Two-dimensional fermionic superfluids, pairing instability, and vortex liquids in the absence of time reversal symmetry

摘要: We consider a generic two-dimensional system of fermionic particles with attractive interactions and no disorder. If time-reversal symmetry is absent, it possible to obtain incompressible insulating states in addition the superfluid at zero temperature. The superfluid-insulator phase transition found be second order type-II systems using perturbative analysis Cooper pairing instability quantum Hall unpaired fermions. diagram as function chemical potential (density) However, more careful presented here reveals that always preempted by another into strongly correlated normal state which retains cannot smoothly connected Such can qualitatively viewed liquid vortices, although may acquire conventional broken symmetries. Even if did not survive finite temperatures its influence would felt through strong fluctuations below crossover temperature scale. These conclusions directly apply ultra-cold atom near unitarity, but are likely relevant for properties other superfluids well, including high superconductors.