Bilayer superfluidity of fermionic polar molecules: many body effects

TL;DR

This paper investigates the superfluid transition in a bilayer of fermionic dipolar molecules, incorporating many-body effects that significantly alter the critical temperature compared to standard BCS theory.

Contribution

It provides a detailed analysis of interlayer scattering and includes many-body effects, extending the BCS framework for dipolar fermionic gases.

Findings

Many-body effects significantly influence the critical temperature.

In dilute regimes, many-body effects decrease the transition temperature.

In dense regimes, many-body effects increase the transition temperature.

Abstract

We study the BCS superfluid transition in a single-component fermionic gas of dipolar particles loaded in a tight bilayer trap, with the electric dipole moments polarized perpendicular to the layers. Based on the detailed analysis of the interlayer scattering, we calculate the critical temperature of the interlayer superfluid pairing transition when the layer separation is both smaller (dilute regime) and of the order or larger (dense regime) than the mean interparticle separation in each layer. Our calculations go beyond the standard BCS approach and include the many-body contributions resulting in the mass renormalization, as well as additional contributions to the pairing interaction. We find that the many-body effects have a pronounced effect on the critical temperature, and can either decrease (in the very dilute limit) or increase (in the dense and moderately dilute limits) the transition temperature as compared to the BCS approach.