Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.83.052517
Title: Density functional of a two-dimensional gas of dipolar atoms: Thomas-Fermi-Dirac treatment
Authors: Fang, B.
Englert, B.-G. 
Issue Date: 25-May-2011
Citation: Fang, B., Englert, B.-G. (2011-05-25). Density functional of a two-dimensional gas of dipolar atoms: Thomas-Fermi-Dirac treatment. Physical Review A - Atomic, Molecular, and Optical Physics 83 (5) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.83.052517
Abstract: We derive the density functional for the ground-state energy of a two-dimensional, spin-polarized gas of neutral fermionic atoms with magnetic-dipole interaction, in the Thomas-Fermi-Dirac approximation. For many atoms in a harmonic trap, we give analytical solutions for the single-particle spatial density and the ground-state energy, in dependence on the interaction strength, and we discuss the weak-interaction limit that is relevant for experiments. We then lift the restriction of full spin polarization and account for a time-independent inhomogeneous external magnetic field. The field strength necessary to ensure full spin polarization is derived. © 2011 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/96162
ISSN: 10502947
DOI: 10.1103/PhysRevA.83.052517
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