Pair Density Wave Instability of Cold Fermionic Atoms in an Optical Lattice

Details Pair Density Wave Instability of Cold Fermionic Atoms in an Optical Lattice Pair Density Wave Instability of Cold Fermionic Atoms in an Optical Lattice

2009-06-12

arxiv.org/abs/0906.2202v1

Physical Review B 81, 012504 (2010)

Physics

Condensed Matter

Superconductivity

4 pages, 3 figures

Scientific paper

We show that the band insulating state of cold fermionic atoms in a three-dimensional cubic optical lattice is unstable to forming a pair-density wave (PDW) state in the presence of strong attractive interactions induced by proximity to a Feshbach resonance. The PDW state in this model is a special type of supersolid, which arises from the condensation of predominantly interband Cooper pairs at a nonzero, generically incommensurate, wavevector, and is expected to be accompanied by an induced density modulation. We also discuss the mean field phase diagram of a two-band tight binding model, which exhibits a PDW state, and discuss the relation of the PDW instability in this model to the Halperin-Rice exciton condensation instability in indirect bandgap semiconductors.

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