Population imbalanced fermions in harmonically trapped optical lattices

Abstract

The attractive Fermi-Hubbard Hamiltonian is solved via the Bogoliubov-de Gennes formalism to analyze the ground state phases of population imbalanced fermion mixtures in harmonically trapped two-dimensional optical lattices. In the low density limit the superfluid order parameter modulates in the radial direction towards the trap edges to accommodate the unpaired fermions that are pushed away from the trap center with a single peak in their density. However in the high density limit while the order parameter modulates in the radial direction towards the trap center for low imbalance, it also modulates towards the trap edges with increasing imbalance until the superfluid to normal phase transition occurs beyond a critical imbalance. This leads to a single peak in the density of unpaired fermions for low and high imbalance but leads to double peaks for intermediate imbalance.

4 pages with 4 figures, accepted to appear in PRA

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Cited by in corpus (13)

• Imbalanced Fermi Gases at Unitarity
• Pair correlations of a spin-imbalanced Fermi gas on two-leg ladders
• Spectroscopy of the soliton lattice formation in quasi-one-dimensional fermionic superfluids with population imbalance
• Pairing in a two-dimensional Fermi gas with population imbalance
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Antiferromagnetic Order of Repulsively Interacting Fermions on Optical lattices
• Spatially-modulated Superfluid States in Fermionic Optical Ladder Systems with Repulsive Interactions
• Phase separations induced by a trapping potential in one-dimensional fermionic systems as a source of core-shell structures
• Superfluidity and pairing phenomena in ultracold atomic Fermi gases in one-dimensional optical lattices, Part I: Balanced case
• Unconventional superconductivity in iron-base superconductors in a three-band model
• Stability of FFLO states in optical lattices with bilayer structure
• Counterflow of spontaneous mass currents in trapped spin-orbit coupled Fermi gases
• Spin-1/2 fermions with attractive interaction in an optical lattice