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

TL;DR

This paper uses Landau-Ginzburg theory to systematically analyze the finite-temperature phase diagrams of a two-component Fermi and Bose gas mixture, revealing generic features and exploring correlated BCS pairing in confined traps.

Contribution

It provides a theoretical framework for understanding phase diagrams of Fermi-Bose mixtures at finite temperatures, highlighting generic features and the physics of BCS pairing in confined geometries.

Findings

Identification of generic features in phase diagrams

Application of Landau-Ginzburg theory to Fermi-Bose mixtures

Insights into correlated BCS pairing in traps

Abstract

We consider a mixture of two-component Fermi and (one-component) bose gases under the repulsive Bose-Fermi and attractive Fermi-Fermi interaction. We perform a systematic study of the finite-temperature phase diagrams in the chemical potential space, identifying, using the Landau-Ginzburg theory, the features generic to the phase diagrams within the validity of our model. We apply the theory to explore the physics of correlated BCS pairing among fermions in a tightly confined trap surrounded by a large BEC gas.