Abstract
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 boson-fermion 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.
Highlights
During the past years, the techniques of loading ultra-cold atoms gases on the optical lattices have been extensively explored in simulating quantum many-body systems
We investigate the 2D Bose-Fermi mixture system on the square lattice by using the determinant quantum Monte Carlo (DQMC) method in the parameter regimes free of sign problem
We find the appearance of the composite fermion pairs at low temperatures
Summary
The techniques of loading ultra-cold atoms gases on the optical lattices have been extensively explored in simulating quantum many-body systems. To show finite size effect of p-wave pair correlation function, different lattice sizes 4 × 4 and 8 × 8 have been investigated. To avoid the collapse of the superfluid state in the attractive Bose system, which is shown in Sec. II, the interactions in the mixtures should be chosen to be very weak at low temperature.
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