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We analyze the finite-temperature phase diagram of the boson-fermion-Hubbardmodel with Feshbach converting interaction, using the coherent-statepath-integral method. We show that depending on the position of the bosonicband, this type of interaction, even if weak, can drive the system into theresonant superfluid phase in the strong bosonic interaction limit. It turns outthat this phase can exist for an arbitrary number of fermions (i.e., fermionicconcentration between 0 and 2) but with the bosonic particle number very closeto an integer value. We point out that the standard time-of-flight method inoptical lattice experiments can be an adequate technique to confirm theexistence of this resonant phase. Moreover, in the non-resonant regime, theenhancement of the critical temperature of the superfluid phase due to Feshbachinteraction is also observed. We account for this interesting phenomena for ahole- or particlelike pairing mechanism depending on the system density andmutual location of the fermionic and bosonic bands.

Effect of boson on-site repulsion on the superfluidity in the boson-fermion-Hubbard model