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We investigate the superfluid phase transition in a gas of Fermi atoms loadedon a three-dimensional optical lattice. When the lattice potential is strong,this system can be well described by an attractive Hubbard model. In thismodel, we calculate the superfluid phase transition temperature Tc, includingboth superfluid and (spin and charge) density fluctuations within theself-consistent t-matrix theory and fluctuation exchange approximation,respectively. Since we treat these fluctuations in a consistent manner, ourtheory satisfies the required particle-hole symmetry over the entire BCS-BECcrossover region. We show that charge density fluctuations compete againstsuperfluid fluctuations near the half-filling, leading to the suppression ofTc. As a result, the maximum Tc is obtained away the half-filling. Since thestrong density fluctuations originate from the nesting property of the Fermisurface at the half filling (which is absent in a uniform gas with no latticepotential), our results would be useful in considering lattice effects onstrong-coupling superfluidity.

BCS-BEC crossover and effects of density fluctuations in a two-component Fermi gas loaded on an optical lattice