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

We propose a generalization of the replica trick that allows us to calculate the large distance asymptotics of off-diagonal correlation functions in anyonic models with a proper factorizable ground-state wavefunction. 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