Second root of dilute Bose-Fermi mixtures

TL;DR

This paper investigates the equilibrium properties of dilute Bose-Fermi mixtures across dimensions 2<d<4, focusing on the stability and interactions of dimers formed by bosons and fermions.

Contribution

It introduces a detailed analysis of fermion-dimer and boson-dimer interactions affecting the stability of Bose-Fermi mixtures beyond weak coupling.

Findings

Identification of a (meta)stable phase with boson-fermion dimers.

Analysis of three-body effective interactions and their impact on stability.

Extension of mean-field theory to arbitrary dimensions 2<d<4.

Abstract

We discuss an equilibrium mean-field properties of mixtures consisting of bosons and spin-polarized fermionic atoms with a point-like interaction in an arbitrary dimension $2<d<4$. Particularly, we discuss except the standard weak-coupling limit of the system with slightly depleted Bose condensate and almost ideal Fermi gas, the (meta)stable phase with dimers composed exactly of one boson and one fermion. The peculiarities of the fermion-dimer and the boson-dimer three-body effective interactions and their impact on the thermodynamic stability of the dilute Bose-Fermi mixtures are elucidated.