Correlation energy of a homogeneous dipolar Fermi gas

Abstract

We study the normal state of a 3-$d$ homogeneous dipolar Fermi gas beyond the Hartree-Fock approximation. The correlation energy is found of the same order as the Fock energy, unusually strong for a Fermi-liquid system. As a result, the critical density of mechanical collapse is smaller than that estimated in the Hartree-Fock approximation. With the correlation energy included, a new energy functional is proposed for the trapped system, and its property is explored.

10 pages, 2 figures

References in corpus (5)

• A High Phase-Space-Density Gas of Polar Molecules
• Dipolar collisions of polar molecules in the quantum regime
• Phase space deformation of a trapped dipolar Fermi gas
• Fermi surface of a trapped dipolar Fermi gas
• Hydrodynamic excitations of trapped dipolar fermions

Cited by in corpus (9)

• Magnetostriction and exchange effects in trapped dipolar Bose and Fermi gases
• The ground state of polaron in an ultracold dipolar Fermi gas
• 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
• Stability and collapse of fermions in a binary dipolar boson-fermion 164Dy-161Dy mixture
• Time-of-flight expansion of trapped dipolar Fermi gases: From the collisionless to the hydrodynamic regime
• Stability of trapped degenerate dipolar Bose and Fermi gases
• Interplay between shell structure and trap deformation in dipolar fermi gases