Hartree-Fock-Bogoliubov Theory of Dipolar Fermi Gases

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.

4.1 pages, 4 figures

References in corpus (12)

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Cited by in corpus (25)

• Density wave instability in a 2D dipolar Fermi gas
• BCS-BEC Crossover in Bilayers of Cold Fermionic Polar Molecules
• Bond order solid of two-dimensional dipolar fermions
• Vortices and vortex lattices in quantum ferrofluids
• Effective potential and superfluidity of microwave-dressed polar molecules
• Singlet and triplet BCS pairs in a gas of two-species fermionic polar molecules
• Supersolid Phase of Cold Fermionic Polar Molecules in 2D Optical Lattices
• Ultra-cold Fermi gases with resonant dipole-dipole interaction
• Unconventional Spin Density Waves in Dipolar Fermi Gases
• Supersolidity of a dipolar Fermi gas in a cubic optical lattice
• Anisotropic Superfluidity in the Two-Species Polar Fermi Gas
• Dynamical properties of a trapped dipolar Fermi gas at finite temperature
• Physical dipoles and second order perturbation theory for dipolar fermions in two dimensions
• Unconventional symmetries of Fermi liquid and Cooper pairing properties with electric and magnetic dipolar fermions
• Second-order interaction corrections to the Fermi surface and the quasiparticle properties of dipolar fermions in three dimensions
• Projection after variation in the finite-temperature Hartree-Fock-Bogoliubov approximation
• Collective excitations of a harmonically trapped, two-dimensional, spin-polarized dipolar Fermi gas in the hydrodynamic regime
• Competing many-body instabilities in two-dimensional dipolar Fermi gases
• A local exchange theory for trapped dipolar gases
• Superfluid pairing in a mixture of a spin-polarized Fermi gas and a dipolar condensate
• Multipolar Fermi-surface deformation in a Rydberg-dressed Fermi gas with long-range anisotropic interactions
• Stability of quantum degenerate Fermi gases of tilted polar molecules
• Leggett mode in a two-component Fermi gas with dipolar interactions
• Thermal-assisted Anisotropy and Thermal-driven Instability in the Superfluidity state of Two-Species Polar Fermi Gas
• The effect of anisotropic exchange interactions and short-range phenomena on superfluidity in a homogeneous dipolar Fermi gas