Off-diagonal correlations in one-dimensional anyonic models: A replica approach

TL;DR

This paper introduces a generalized replica trick to compute off-diagonal correlations in one-dimensional anyonic models, successfully applying it to impenetrable anyons and the Calogero Sutherland model, with results validated against existing data.

Contribution

A novel replica approach enabling the calculation of off-diagonal correlations in anyonic models with factorizable ground states.

Findings

Derived harmonic terms of correlations in impenetrable anyons

Applied method to Calogero Sutherland model

Results agree with known analytic and numerical data

Abstract

We propose a generalization of the replica trick that allows to calculate the large distance asymptotic of off-diagonal correlation functions in anyonic models with a proper factorizable ground-state wave-function. We apply this new method to the exact determination of all the harmonic terms of the correlations of a gas of impenetrable anyons and to the Calogero Sutherland model. Our findings are checked against available analytic and numerical results.