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.

arXiv comment4 pages, 2 figures

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Cited by in corpus (25)

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• Extended Thomas-Fermi Density Functional for the Unitary Fermi Gas
• Effective Theory for Trapped Few-Fermion Systems
• Effective-Range Dependence of Resonantly Interacting Fermions
• An effective field theory approach to two trapped particles
• Three and Four Harmonically Trapped Particles in an Effective Field Theory Framework
• Density Functional Theory for non-relativistic Fermions in the Unitarity Limit
• Effective density functionals beyond mean field
• Two and Three Nucleons in a Trap and the Continuum 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
• From bare interactions, low--energy constants and unitary gas to nuclear density functionals without free parameters: application to neutron matter
• Eft for DFT
• Ground state energy of unitary fermion gas with the Thomson Problem approach
• Surface Effects in the Unitary Fermi Gas
• 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
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• Energy functional for the three-level Lipkin model
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• The Fermionic Density-functional at Feshbach Resonance
• Correlation Testing in Nuclear Density Functional Theory