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arXiv · 0707.4520

Correlation Functions of One-Dimensional Lieb-Liniger Anyons

Ovidiu I. Patu·Vladimir E. Korepin·Dmitri V. Averin
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Abstract

We have investigated the properties of a model of 1D anyons interacting through a $δ$-function repulsive potential. The structure of the quasi-periodic boundary conditions for the anyonic field operators and the many-anyon wavefunctions is clarified. The spectrum of the low-lying excitations including the particle-hole excitations is calculated for periodic and twisted boundary conditions. Using the ideas of the conformal field theory we obtain the large-distance asymptotics of the density and field correlation function at the critical temperature T=0 and at small finite temperatures. Our expression for the field correlation function extends the results in the literature obtained for harmonic quantum anyonic fluids.

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Ovidiu I. Patu, Vladimir E. Korepin, Dmitri V. Averin. 2008-03-04. Correlation Functions of One-Dimensional Lieb-Liniger Anyons. https://doi.org/10.1088/1751-8113/40/50/004

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