Induced interactions and superfluidity in optical lattices with multi-component Fermi gases

TL;DR

This paper investigates how many-body effects and induced interactions influence superfluidity and transition temperatures in multi-component Fermi gases within optical lattices, revealing significant deviations from simpler two-component models.

Contribution

It provides detailed calculations of pairing gaps and critical temperatures considering induced interactions in multi-component Fermi gases in optical lattices, highlighting their impact on phase diagrams.

Findings

Induced interactions depend strongly on component interactions and densities.

Superfluid gaps and critical temperatures deviate from two-component systems.

Singular behavior of induced interactions at half filling in 2D lattices.

Abstract

Many-body effects on superfluidity and transition temperatures are calculated for optical lattices and uniform systems with ultracold multi-component Fermi gases. The induced interactions depend sensitively on the interactions between the multi-components and their densities. The s- and d-wave pairing gaps and critical temperatures are calculated for optical lattices at low (dilute) filling as well as near half filling to leading orders in the interaction strength with and without induced interactions. They can deviate strongly from dilute two-component systems and affect the phase diagram. In two dimensional optical lattices the induced interactions are singular at half filling and strongly affect s- and d-wave superfluidity.