Density functional theory for fermions close to the unitary regime

Abstract

We consider interacting Fermi systems close to the unitary regime and compute the corrections to the energy density that are due to a large scattering length and a small effective range. Our approach exploits the universality of the density functional and determines the corrections from the analyical results for the harmonically trapped two-body system. The corrections due to the finite scattering length compare well with the result of Monte Carlo simulations. We also apply our results to symmetric neutron matter.

4 pages, 2 figures

References in corpus (5)

• Observation of Bose-Einstein Condensation of Molecules
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Density-functional theory for fermions in the unitary regime
• The Kinetic Energy Density in Kohn-Sham Density Functional Theory
• Single-Particle Properties from Kohn-Sham Green's Functions

Cited by in corpus (14)

• Universal properties of infrared oscillator basis extrapolations
• Effective Theory for Trapped Few-Fermion Systems
• Effective-Range Dependence of Resonantly Interacting Fermions
• Density Functional Theory for non-relativistic Fermions in the Unitarity Limit
• From resonantly interacting fermions with effective range to neutron matter
• On Non-Relativistic Conformal Field Theory and Trapped Atoms: Virial Theorems and the State-Operator Correspondence in Three Dimensions
• Effective interactions and operators in no-core shell model
• Density-functional theory for the pairing Hamiltonian
• $D$-dimensions Dirac fermions BEC-BCS cross-over thermodynamics
• Dynamical properties of the unitary Fermi gas: collective modes and shock waves
• Energy functional for the three-level Lipkin model
• Dispersive effects in the unitary Fermi gas
• Critical velocity, vortex shedding and drag in a unitary Fermi superfluid
• The Fermionic Density-functional at Feshbach Resonance