Hartree-Fock-Bogoliubov Theory of Dipolar Fermi Gases

TL;DR

This paper develops a self-consistent Hartree-Fock-Bogoliubov theory for dipolar Fermi gases, revealing conditions for high critical temperature superfluidity and the role of Fock exchange in enhancing pairing.

Contribution

It introduces a comprehensive theoretical framework for dipolar Fermi gases, including anisotropic superfluidity and the impact of exchange interactions, which was not previously detailed.

Findings

High $T_c$ superfluid achievable with modest interaction strength

Fock exchange interaction enhances superfluid pairing

Anisotropic superfluid order parameter calculated

Abstract

We construct a fully self-consistent Hartree-Fock-Bogoliubov theory that describes a spinless Fermi gas with long-range interaction. We apply this theory to a system of uniform dipolar fermionic polar molecules, which has attracted much attention recently, due to rapid experimental progress in achieving such systems. By calculating the anisotropic superfluid order parameter, and the critical temperature $T_{c}$, we show that, "hign $T_c$" superfluid can be achieved with a quite modest value of interaction strength for polar molecules. In addition, we also show that the presence of the Fock exchange interaction enhances superfluid pairing.