A nonlocal kinetic energy functional for an inhomogeneous two-dimensional Fermi gas

Abstract

The average-density approximation is used to construct a nonlocal kinetic energy functional for an inhomogeneous two-dimensional Fermi gas. This functional is then used to formulate a Thomas-Fermi von Weizsäcker-like theory for the description of the ground state properties of the system. The quality of the kinetic energy functional is tested by performing a fully self-consistent calculation for an ideal, harmonically confined, two-dimensional system. Good agreement with exact results are found, with the number and kinetic energy densities exhibiting oscillatory structure associated with the nonlocality of the energy functional. Most importantly, this functional shows a marked improvement over the two-dimensional Thomas-Fermi von Weizsäcker theory, particularly in the vicinity of the classically forbidden region.

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References in corpus (4)

• Orbital-Free Density Functional Theory: Kinetic Potentials and Ab-Initio Local Pseudopotentials
• Kirzhnits gradient expansion for a D-dimensional Fermi gas
• On the Kirzhnits gradient expansion in two dimensions
• Thomas-Fermi von Weizsäcker theory for a harmonically trapped, two-dimensional, spin-polarized dipolar Fermi gas

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• First-principles quantum corrections for carrier correlations in double-layer two-dimensional heterostructures
• Kohn-Sham theory of rotating dipolar Fermi gas in two dimensions
• Kohn-Sham approach to Fermi gas superfluidity: the bilayer of fermionic polar molecules
• A manifestly Hermitian semiclassical expansion for the one-particle density matrix of a two-dimensional Fermi gas
• Testing the nonlocal kinetic energy functional of an inhomogeneous, two-dimensional degenerate Fermi gas within the average density approximation
• Preserving the Hermiticity of the One-Body Density Matrix for a Non-Interacting Fermi Gas