Many-body effects in a Bose-Fermi mixture

TL;DR

This study explores how strong correlations in a Bose-Fermi mixture within an optical lattice lead to notable renormalization effects in fermionic density of states, influenced by bosonic superfluidity and density wave order.

Contribution

It introduces a comprehensive analysis of many-body effects in Bose-Fermi mixtures, revealing the role of bosonic superfluidity in fermionic quasiparticle renormalization across different phases.

Findings

Strong correlation effects cause a peak near the Fermi level in fermionic density of states.

Renormalization effects are present in both metallic and insulating phases.

Bosonic degrees of freedom are responsible for the observed renormalization.

Abstract

We investigate many-body effects on a mixture of interacting bosons and fermions loaded in an optical lattice using a generalized dynamical mean field theory combined with the numerical renormalization group. We show that strong correlation effects emerge in the presence of bosonic superfluidity, leading to a renormalized peak structure near the Fermi level in the density of states for fermions. Remarkably, this kind of strong renormalization appears not only in the metallic phase but also in the insulating phases of fermions such as in the empty/filled band limit. A systematic analysis of the relation between the quasiparticle weight and the strength of superfluidity reveals that the renormalization effect is indeed caused by the boson degrees of freedom. It is found that such renormalization is also relevant to a supersolid phase consisting of a density wave ordering of fermions accompanied by bosonic superfluidity. This sheds light on the origin of the peak structure in the supersolid phase.