  We study the two-dimensional Bose-Fermi mixture on square lattice at finite
temperature by using the determinant quantum Monte Carlo method within the
weakly interacting regime. Here we consider the attractive Bose-Hubbard model
and free spinless fermions. In the absence of bosonfermion interactions, we
obtain the boundary of the collapsed state of the attractive bosons. In the
presence of boson-fermion interactions, an effective p-wave interaction between
fermions will be induced as far as the bosons are in a superfluid state.
Moreover, we find the emergence of the composite fermion pairs at low
temperatures.
