Density Functional Theory for a Confined Fermi System with Short-Range Interaction

Abstract

Effective field theory (EFT) methods are applied to density functional theory (DFT) as part of a program to systematically go beyond mean-field approaches to medium and heavy nuclei. A system of fermions with short-range, natural interactions and an external confining potential (e.g., fermionic atoms in an optical trap) serves as a laboratory for studying DFT/EFT. An effective action formalism leads to a Kohn-Sham DFT by applying an inversion method order-by-order in the EFT expansion parameter. Representative results showing the convergence of Kohn-Sham calculations at zero temperature in the local density approximation (LDA) are compared to Thomas-Fermi calculations and to power-counting estimates.

36 pages, 20 figures, RevTeX4

References in corpus (1)

• What is Renormalization?

Cited by in corpus (3)

• 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