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We study the attractive Hubbard model with mass imbalance to clarify lowtemperature properties of the fermionic mixtures in the optical lattice. Bycombining dynamical mean-field theory with the continuous-time quantum MonteCarlo simulation, we discuss the competition between the superfluid and densitywave states at half filling. By calculating the energy and the order parameterfor each state, we clarify that the coexisting (supersolid) state, where thedensity wave and superfluid states are degenerate, is realized in the system.We then determine the phase diagram at finite temperatures.

Low temperature properties of the fermionic mixtures with mass imbalance in optical lattice