Correlation functions of one-dimensional Bose-Fermi mixtures

TL;DR

This paper analyzes the asymptotic behavior of correlation functions in one-dimensional Bose-Fermi mixtures with repulsive interactions, revealing how singularities depend on interaction strength and particle densities.

Contribution

It provides a detailed calculation of correlation functions for polarized and unpolarized fermions in 1D Bose-Fermi mixtures, highlighting the dependence on microscopic parameters.

Findings

Correlation functions' asymptotic behavior characterized

Singularities of momentum distribution functions identified

Dependence on coupling constant and density elucidated

Abstract

We calculate the asymptotic behaviour of correlation functions as a function of the microscopic parameters for a Bose-Fermi mixture with repulsive interaction in one dimension. For two cases, namely polarized and unpolarized fermions the singularities of the momentum distribution functions are characterized as a function of the coupling constant and the relative density of bosons.