Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-06-02
EPL 87 (2009) 60006
Physics
Condensed Matter
Statistical Mechanics
5 pages, RevTeX 4
Scientific paper
The exact large time and distance behavior of the field-field correlators has been computed for one-dimensional impenetrable anyons at finite temperatures. The result reproduces known asymptotics for impenetrable bosons and free fermions in the appropriate limits of the statistics parameter. The obtained asymptotic behavior of the correlators is dominated by the singularity in the spectral density of the quasiparticle states at the bottom of the band, and differs from the predictions of the conformal field theory. One can argue, however, that the anyonic response to the low-energy probes is still determined by the conformal terms in the asymptotic expansion.
Averin Dmitri V.
Korepin Vladimir E.
Patu Ovidiu I.
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