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

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

2007-07-16

arxiv.org/abs/0707.2383v2

Physical Review Letters 99, 230403 (2007)

Physics

Condensed Matter

Superconductivity

5 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.99.230403

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.

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