| Issue |
EPL
Volume 86, Number 4, May 2009
|
|
|---|---|---|
| Article Number | 40001 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/86/40001 | |
| Published online | 26 May 2009 | |
Large-distance asymptotic behavior of the correlation functions of 1D impenetrable anyons at finite temperatures
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, Ro-077125, Romania, EU
3
Department of Physics and Astronomy, Stony Brook University - Stony Brook, NY 11794-3800, USA
Received:
26
March
2009
Accepted:
23
April
2009
The large-distance asymptotic behavior of the field-field correlators has been computed for one-dimensional impenetrable anyons at finite temperatures. The asymptotic behavior agrees with the predictions of conformal field theory at low temperatures and reproduces the known results for impenetrable bosons and free fermions in appropriate limits. We have also obtained an integrable system of partial nonlinear differential equations which completely characterizes the 2-point correlation functions. The system is the same as for bosons but with different initial conditions.
PACS: 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
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