Correlation functions of one-dimensional anyonic fluids

TL;DR

This paper provides a universal framework for understanding correlation functions in one-dimensional anyonic systems, revealing unique oscillatory behaviors and validating results with exact solutions in specific models.

Contribution

It introduces a universal description of correlation functions for 1D anyonic gapless systems and highlights novel oscillatory features linked to the statistical parameter.

Findings

Universal oscillating terms with frequency proportional to the statistical parameter

Beating effects near fermion points

Validation against exact results in the impenetrable limit

Abstract

A universal description of correlation functions of one-dimensional anyonic gapless systems in the low-momentum regime is presented. We point out a number of interesting features, including universal oscillating terms with frequency proportional to the statistical parameter and beating effects close to the fermion points. The results are applied to the one-dimensional anyonic Lieb-Liniger model and checked against the exact results in the impenetrable limit.