Reentrant BCS-BEC crossover and a superfluid-insulator transition in optical lattices

Abstract

We study thermodynamics of a two-species Feshbach-resonant atomic Fermi gas in a periodic potential, focusing in a deep optical potential where a tight binding model is applicable. We show that for more than half-filled band the gas exhibits a reentrant crossover with decreased detuning (increased attractive interaction), from a paired BCS superfluid to a Bose-Einstein condensate (BEC) of molecules of holes, back to the BCS superfluid, and finally to a conventional BEC of diatomic molecules. This behavior is associated with the non-monotonic dependence of the chemical potential on detuning and the concomitant Cooper-pair/molecular size, larger in the BCS and smaller in the BEC regimes. For a single filled band we find a quantum phase transition from a band insulator to a BCS-BEC superfluid, and map out the corresponding phase diagram.

5 pages, 2 figures

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Resonantly-paired fermionic superfluids
• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• The potential energy of a ${}^{40}$K Fermi gas in the BCS-BEC crossover
• BCS-BEC crossover on the two-dimensional honeycomb lattice
• Large-N expansion for unitary superfluid Fermi gases
• Superfluid-Insulator Transition of Strongly Interacting Fermi Gases in Optical Lattices
• Lattice Induced Resonances in One Dimensional Bosonic Systems