Kohn-Sham theory of rotating dipolar Fermi gas in two dimensions

Abstract

A two-dimensional dipolar Fermi gas in harmonic trap under rotation is studied by solving "ab initio" Kohn-Sham equations. The physical parameters used match those of ultracold gas of fermionic ${}^{23}N{a}^{40}K$ molecules, a prototype system of strongly interacting dipolar quantum matter, which has been created very recently. We find that, as the critical rotational frequency is approached and the system collapses into the lowest Landau level, an array of tightly packed quantum vortices develops, in spite of the non-superfluid character of the system. In this state the system looses axial symmetry, and the fermionic cloud boundaries assume an almost perfect square shape. At higher values of the filling factor the vortex lattice disappears, while the system still exhibits square-shaped boundaries. At lower values of the filling factor the fermions become instead localized in a "Wigner cluster" structure.

5 pages, 4 figures

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Cited by in corpus (7)

• Vortices and vortex lattices in quantum ferrofluids
• Three-dimensional vortex structures in a rotating dipolar Bose-Einstein condensate
• Kohn-Sham approach to Fermi gas superfluidity: the bilayer of fermionic polar molecules
• Density functional theory versus quantum Monte Carlo simulations of Fermi gases in the optical-lattice arena
• Out-of-equilibrium dynamics of repulsive Fermi gases in quasi-periodic potentials: a Density Functional Theory study
• Interplay between shell structure and trap deformation in dipolar fermi gases
• Phase Transitions of Repulsive Two-Component Fermi Gases in Two Dimensions