Ground State Properties of an Asymmetric Hubbard Model for Unbalanced Ultracold Fermionic Quantum Gases

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dc.creatorGottwald, T.
dc.creatorvan Dongen, P. G. J.
dc.date2007-08-23
dc.date2008-02-12
dc.date.accessioned2026-07-07T09:23:57Z
dc.date.available2026-07-07T09:23:57Z
dc.descriptionIn order to describe unbalanced ultracold fermionic quantum gases on optical lattices in a harmonic trap, we investigate an attractive ($U<0$) asymmetric ($t_\uparrow\neq t_\downarrow$) Hubbard model with a Zeeman-like magnetic field. In view of the model's spatial inhomogeneity, we focus in this paper on the solution at Hartree-Fock level. The Hartree-Fock Hamiltonian is diagonalized with particular emphasis on superfluid phases. For the special case of spin-independent hopping we analytically determine the number of solutions of the resulting self-consistency equations and the nature of the possible ground states at weak coupling. Numerical results for unbalanced Fermi-mixtures are presented within the local density approximation. In particular, we find a fascinating shell structure, involving normal and superfluid phases. For the general case of spin-dependent hopping we calculate the density of states and the possible superfluid phases in the ground state. In particular, we find a new magnetized superfluid phase.
dc.description9 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0708.3161
dc.identifierhttp://arxiv.org/abs/0708.3161
dc.identifierEur. Phys. J. B 61, 277-285 (2008)
dc.identifierdoi:10.1140/epjb/e2008-00084-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155926
dc.subjectStrongly Correlated Electrons
dc.titleGround State Properties of an Asymmetric Hubbard Model for Unbalanced Ultracold Fermionic Quantum Gases
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