Abstract
We investigate the behavior of polarized dipolar fermions in a two-dimensional harmonic trap in the framework of the density functional theory (DFT) formalism using the local density approximation. We treat only a few particles interacting moderately. Important results were deduced concerning key characteristics of the system such as total energy and particle density. Our results indicate that, at variance with Coulombic systems, the exchange- correlation component was found to provide a large contribution to the total energy for a large range of interaction strengths and particle numbers. In addition, the density profiles of the dipoles are shown to display important features around the origin that is not possible to capture by earlier, simpler treatments of such systems.
Highlights
Advances in trapping and cooling polar molecules with large permanent magnetic moments and atoms with electric moments have enabled numerous studies of dipolar quantum gases [1, 2, 3, 4, 5]
In this work we present a theoretical study of ground-state energy and density profile of a system of 2D polarized dipolar fermions in a harmonic trap potential
Utilizing the parametrized ground-state energy [19] we develop a density-functional formulation within the local-density approximation (LDA)
Summary
Advances in trapping and cooling polar molecules with large permanent magnetic moments and atoms with electric moments have enabled numerous studies of dipolar quantum gases [1, 2, 3, 4, 5]. The interaction in three-dimensions is repulsive for dipoles aligned side-by-side and is attractive for dipoles aligned head-to-toe. Because the latter property along with collisional losses may cause instabilities in the system it is suggested that a gas trapped in two-dimensional (2D) geometry will provide a stable system. Ground-state properties of 2D dipolar fermions have been investigated in a number of works [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]. The ground-state energy, pressure, and compressibility of a uniform gas of 2D fermions have been calculated by Lu and Shlyapnikov [17] up to second order in interaction strength. Abedinpour et al [19] developed hypernetted-chain (HNC) approximation to calculate the pair distribution function and static structure factor which agrees very well with the QMC results
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