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

Pasquale Calabrese 1, Raoul Santachiara 2

Journal of statistical mechanics-theory and experiment March 2009, 03 (2009) P03002

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.

  • 1. Dipartimento di Fisica dell'Universita di Pisa and INFN,Pisa,
  • 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud