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

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