Cold Attractive Spin Polarized Fermi Lattice Gases and the Doped Positive U Hubbard Model

Abstract

Experiments on polarized fermion gases performed by trapping ultracold atoms in optical lattices, allow the study of an attractive Hubbard model for which the strength of the on site interaction is tuned by means of a Feshbach resonance. Using a well-known particle-hole transformation we discuss how results obtained for this system can be reinterpreted in the context of a doped repulsive Hubbard model. In particular we show that the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state corresponds to the striped state of the two-dimensional doped positive U Hubbard model. We then use the results of numerical studies of the striped state to relate the periodicity of the FFLO state to the spin polarization. We also comment on the relationship of the $d_{x^2-y^2}$ superconducting phase of the doped 2D repulsive Hubbard model to a d-wave spin density wave state for the attractive case.

4 pages, 2 figures

References in corpus (4)

• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• The Ground State of the Pseudogap in Cuprate Superconductors
• Generic Phase Diagram of Fermion Superfluids with Population Imbalance
• Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices

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