Superfluid-Insulator Transition of Strongly Interacting Fermi Gases in Optical Lattices

Abstract

We study a quantum phase transition between fermion superfluid (SF) and band insulator (BI) of fermions in optical lattices. The destruction of the band insulator is driven by the energy gain in promoting fermions from valance band to various conducting bands to form Cooper pairs. We show that the transition must take place in rather shallow lattice height, $V_o/E_R$ between 2.23 and 4.14. The latter is the prediction of mean field theory while the former is the value for opening a band gap. As one moves across resonance to the molecule side, the SF-BI transition evolves into the SF-Mott insulator transition of bosonic molecules. We shall also present the global phase diagram for SF-Insulator transition for the BCS-BEC family.

arXiv comment4 pages, 4 figures

References in corpus (6)

• Observation of resonance condensation of fermionic atom pairs
• Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• Measurement of interaction energy near a Feshbach resonance in a 6Li Fermi gas
• Mechanical Stability of a Strongly-Interacting Fermi Gas of Atoms

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• Multiband-Driven Superfluid-Insulator Transition of Fermionic Atoms in Optical Lattices: A Dynamical Mean-Field-Theory Study
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• Superfluidity of Dirac Fermions in a Tunable Honeycomb Lattice: Cooper Pairing, Collective Modes, and Critical Currents
• Spatially-modulated Superfluid States in Fermionic Optical Ladder Systems with Repulsive Interactions
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