Induced interactions and the superfluid transition temperature in a three-component Fermi gas

TL;DR

This paper investigates how induced interactions in a three-component Fermi gas influence the superfluid transition temperature and phase structure, revealing novel phenomena like superfluid shells and significant deviations from two-component systems.

Contribution

It introduces the impact of third-component induced interactions on the phase diagram and critical temperature in three-component Fermi gases, highlighting new superfluid structures.

Findings

Induced interactions alter the phase diagram significantly.

Superfluid shell structures can form in confining potentials.

Critical temperature can deviate strongly from two-component predictions.

Abstract

We study many-body contributions to the effective interaction between fermions in a three-component Fermi mixture. We find that effective interactions induced by the third component can lead to a phase diagram different from that predicted if interactions with the third component are neglected. As a result, in a confining potential a superfluid shell structure can arise even for equal populations of the components. We also find a critical temperature for the BCS transition in a 6Li mixture which can deviate strongly from the one in a weakly interacting two-component system.