Superfluid-insulator transitions of the Fermi gas with near-unitary interactions in a periodic potential

Abstract

We consider spin-1/2 fermions of mass m with interactions near the unitary limit. In an applied periodic potential of amplitude V and period a, and with a density of an even integer number of fermions per unit cell, there is a second-order quantum phase transition between superfluid and insulating ground states at a critical V=Vc. We compute the universal ratio Vc m a^2 / h^2 at N=infinity in a model with Sp(2N) spin symmetry. The insulator interpolates between a band insulator of fermions and a Mott insulator of fermion pairs. We discuss implications for recent experiments.

5 pages, 3 figures

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• Finite Momentum Pairing Instability of Band-Insulators With Multiple Bands
• Spin-orbit coupled ultracold gases in optical lattices: High-band physics and insufficiency of tight-binding models
• Multiband-Driven Superfluid-Insulator Transition of Fermionic Atoms in Optical Lattices: A Dynamical Mean-Field-Theory Study
• Fermionic Superfluid from a Bilayer Band Insulator in an Optical Lattice
• 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
• Unitarity in periodic potentials: a renormalization group analysis
• Multiband superfluidity and superfluid to band-insulator transition of strongly interacting fermions in an optical lattice
• Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices
• Two-dimensional fermionic superfluids, pairing instability and vortex liquids in the absence of time reversal symmetry
• Phase diagram of imbalanced fermions in optical lattices
• Polarized Fermi gases in asymmetric optical lattices
• Test of Particle-Assisted Tunneling for Strongly Interacting Fermions in an Optical Superlattice
• Odd-parity topological superfluidity for fermions in a bond-centered square optical lattice
• Density-Wave and Antiferromagnetic States of Fermionic Atoms in Optical Lattices
• Transition from Band insulator to Bose-Einstein Condensate superfluid and Mott State of Cold Fermi Gases with Multiband Effects in Optical Lattices
• The phase diagram of two-dimensional fast-rotating ultra-cold fermionic atoms near unitarity
• Quantum simulation of the Hubbard model with ultracold fermions in optical lattices