Non-conformal asymptotic behavior of the time-dependent field-field correlators of 1D anyonsO. I. Pâţu1, 2, V. E. Korepin1 and D. V. Averin3
1 C.N. Yang Institute for Theoretical Physics, State Stony Brook University - Stony Brook, NY 11794-3840, USA
2 Institute for Space Sciences - Bucharest-Măgurele, R 077125, Romania, EU
3 Department of Physics and Astronomy, Stony Brook University - Stony Brook, NY 11794-3800, USA
received 3 August 2009; accepted in final form 10 September 2009; published September 2009
published online 9 October 2009
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 subleading conformal terms in the asymptotic expansion.
02.30.Ik - Integrable systems.
05.30.Pr - Fractional statistics systems (anyons, etc.).
71.10.Pm - Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.).
© EPLA 2009