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We consider a mixture of two-component Fermi and (one-component) bose gasesunder the repulsive Bose-Fermi and attractive Fermi-Fermi interaction. Weperform a systematic study of the finite-temperature phase diagrams in thechemical potential space, identifying, using the Landau-Ginzburg theory, thefeatures generic to the phase diagrams within the validity of our model. Weapply the theory to explore the physics of correlated BCS pairing amongfermions in a tightly confined trap surrounded by a large BEC gas.

Landau-Ginzburg Perspective of Finite-Temperature Phase Diagrams of a Two-Component Fermi-Bose Mixture