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The zero-temperature and finite-temperature thermodynamics of two-componentFermi gases with finite-range attractive interaction suffer from fermion signproblem, which seems like an insurmountable problem in exact numericalsimulations. In a recent work, we find a reliable method to simulate thethermodynamic properties of single-component Fermi gases for bothnoninteracting and repulsively interacting cases based on the method ofparametrized partition function and the $\xi_E$ curve of constant energy. Inthe present work, this method is generalized to two-component Fermi gases withfinite-range attractive interaction, which shows clearly that our method hasgood chance to apply to various Fermi systems. From the simulated heatcapacity, we find a peak at the temperature below the Fermi temperature whichimplies the pairing of fermions with different spin. At high temperature, thesimulated heat capacity approaches the classical value. The reasonable resultin this work validates the application of our method to attractive cases, whichimplies a wide range of applications, from nuclear physics, BCS-BEC crossover,superconductivity, to neutron star, etc..

Numerical simulation of two-component attractive Fermi gases based on parametrized partition function