Statistical correlations of an anyon liquid at low temperatures

TL;DR

This paper investigates the statistical correlations in an anyon liquid at low temperatures, revealing how Friedel-like oscillations behave and dampen depending on dimensionality and statistical parameters.

Contribution

It introduces a generalized pair distribution function for fractional exclusion statistics and analyzes correlation behaviors in various dimensions at low temperatures.

Findings

Friedel-like oscillations are present at T=0 in non-bosonic cases.

Oscillations exhibit exponential damping at low temperatures.

Correlation features depend on dimensionality and the statistical parameter alpha.

Abstract

Using a proposed generalization of the pair distribution function for a gas of non-interacting particles obeying fractional exclusion statistics in arbitrary dimensionality, we derive the statistical correlations in the asymptotic limit of vanishing or low temperature. While Friedel-like oscillations are present in nearly all non-bosonic cases at T=0, they are characterized by exponential damping at low temperature. We discuss the dependence of these features on dimensionality and on the value of the statistical parameter alpha.