Statistical correlations of an anyon liquid at low temperatures

Authors: Pellegrino, F. M. D.¹; Angilella, G. G. N.²; March, N. H.³; Pucci, R.²

Source: Physics and Chemistry of Liquids, Volume 46, Number 3, June 2008 , pp. 342-348(7)

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Abstract:

Using a proposed generalisation of the pair distribution function for a gas of non-interacting particles obeying fractional exclusion statistics in arbitrary dimensionality, we derive the statistical correlations in the asymptotic limit of vanishing or low temperature. While Friedel-like oscillations are present in nearly all non-bosonic cases at T = 0, they are characterised by exponential damping at low temperature. We discuss the dependence of these features on dimensionality and on the value of the statistical parameter α.

Keywords: electron liquid; quantum Hall effect; fractional statistics; pair correlation function

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00319100801972708

Affiliations: 1: Scuola Superiore di Catania, Universita di Catania, Catania, Italy 2: Dipartimento di Fisica e Astronomia, Universita di Catania and CNISM, Catania, Italy 3: Oxford University, Oxford, UK,Department of Physics, University of Antwerp, Antwerp, Belgium

Publication date: 2008-06-01