Effective p-wave Fermi-Fermi Interaction Induced by Bosonic Superfluids

TL;DR

This paper investigates how superfluid bosons induce effective p-wave interactions between fermions in a two-dimensional Bose-Fermi mixture, revealing the formation of composite fermion pairs at low temperatures.

Contribution

It demonstrates the emergence of p-wave interactions and composite fermion pairs induced by bosonic superfluidity in a lattice Bose-Fermi mixture.

Findings

Effective p-wave interaction is induced by bosonic superfluidity.

Composite fermion pairs emerge at low temperatures.

Boundary of collapsed boson state identified.

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 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.