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We present real-space dynamical mean-field theory calculations forattractively interacting fermions in three-dimensional lattices with elongatedtraps. The critical polarization is found to be 0.8, regardless of the trapelongation. Below the critical polarization, we find unconventional superfluidstructures where the polarized superfluid andFulde-Ferrell-Larkin-Ovchinnikov-type states emerge across the entire coreregion.

Exotic superfluid states of lattice fermions in elongated traps