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.
2009
Calabrese, Pasquale; Santachiara, R.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/16553
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 25
  • ???jsp.display-item.citation.isi??? 21
social impact