A Mean Field Analysis of Pairing in Asymmetric Fermi Systems at Finite Temperature

TL;DR

This paper analyzes the phase diagram of asymmetric Fermi systems at finite temperature, emphasizing the importance of Hartree shifts and finite temperature effects on phase transitions and superfluid states.

Contribution

It introduces a mean field framework including Hartree energy shifts and pairing correlations to study phase competition and novel superfluid states in asymmetric Fermi systems.

Findings

Hartree shifts significantly affect phase boundaries.

Finite temperature can stabilize fragile superfluid states.

Inhomogeneous superfluid phases are influenced by temperature and asymmetry.

Abstract

We study the phase diagram of a two component Fermi system with a weak attractive interaction. Our analysis includes the leading order Hartree energy shifts and pairing correlations at finite temperature and chemical potential difference between the two fermion species. We show that in an asymmetric system, the Hartree shift to the single particle energies are important for the phase competition between normal and superfluid phase and can change the phase transition curve qualitatively. At large asymmetry we find that a novel but somewhat fragile superfluid state can be favored due to finite temperature effects. We also investigate the transition between the normal phase and an inhomogeneous superfluid phase to study how gradient instabilities evolve with temperature and asymmetry. Finally, we adopt our analysis to study the density profiles of similar asymmetric Fermi systems that are being observed in cold atom experiments.