2007/07/31 by Ovidiu I. Patu, Ovidiu I Pâţu, Vladimir E. Korepin +3 · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1088/1751-8113/40/50/004
published as J. Phys. A: Math. Theor. 40 (2007) 14963-14984 · 19 pages, RevTeX 4
openalex publication_date 2007/11/28 · arxiv created 2008/03/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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.