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The Berezinskii-Kosterlitz-Thouless (BKT) mechanism describes the breakdownof superfluidity in a two-dimensional Bose gas or a two-dimensional gas ofpaired fermions. In the latter case, a population imbalance between the twopairing partners in the Fermi mixture is known to influence pairingcharacteristics. Here, we investigate the effects of imbalance on thetwo-dimensional BKT superfluid transition, and show that superfluidity is evenmore sensitive to imbalance than for three dimensional systems.Finite-temperature phase diagrams are derived using the functional integralformalism in combination with a hydrodynamic action functional for the phasefluctuations. This allow to identify a phase separation region and tricriticalpoints due to imbalance. In contrast to superfluidity in the three-dimensionalcase, the effect of imbalance is also pronounced in the strong-coupling regime.

The effect of population imbalance on the Berezinskii-Kosterlitz-Thouless phase transition in a superfluid Fermi gas