Superfluid-insulator transition and BCS-BEC crossover in dirty ultracold Fermi gas

TL;DR

This paper investigates the phase transition between superfluid and insulator states in a disordered ultracold Fermi gas, analyzing how it depends on particle concentration, magnetic field, and disorder strength, with implications for Bose gases as well.

Contribution

The study provides phase diagrams for the superfluid-insulator transition in disordered ultracold Fermi gases, incorporating effects of Feshbach resonance and disorder, extending to Bose gases on the BEC side.

Findings

Phase diagrams in ($B,n$) and ($V_0,n$) planes showing transition boundaries.

Results applicable to superfluid-insulator transition in Bose gases.

Analysis of the effects of disorder and Feshbach resonance on phase transitions.

Abstract

Superfluid-insulator transition in an ultracold Fermi gas in the external disorder potential of the amplitude $V_0$ is studied as a function of the concentration of the gas $n$ and magnetic field $B$ in the presence of the Feshbach resonance. We find the zero temperature phase diagrams in the plane ($B,n$) at a given $V_0$ and in the plane $(V_0, n)$ at a given $B$. Our results for BEC side of the diagram are also valid for the superfluid-insulator transition in a Bose gas.