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.
Off-diagonal correlations in one-dimensional anyonic models: a replica approach
Calabrese, Pasquale;
2009-01-01
Abstract
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.File in questo prodotto:
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