Correlation Functions of One-Dimensional Lieb-Liniger Anyons

Details Correlation Functions of One-Dimensional Lieb-Liniger Anyons Correlation Functions of One-Dimensional Lieb-Liniger Anyons

2007-07-31

arxiv.org/abs/0707.4520v2

J. Phys. A: Math. Theor. 40 (2007) 14963-14984

Physics

Condensed Matter

Statistical Mechanics

19 pages, RevTeX 4

Scientific paper

10.1088/1751-8113/40/50/004

We have investigated the properties of a model of 1D anyons interacting through a $\delta$-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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