Phase Diagram of Asymmetric Two-component Fermi Gas in Two Dimensions

We investigate the superfluid phase and phase transition in two dimensions at zero temperature for asymmetric Fermi gas and the regions corresponding to normal and Sarma phase for different polarization are identified.The existence of quantum topological phase transition by is proved by varying energy gap and chemical potential in BCS-BEC crossover.The effect of quantum phase transition with different mass ratio is discussed and the topological phase diagram in this region is given.