One-Dimensional Impenetrable Anyons in Thermal Equilibrium. III. Large distance asymptotics of the space correlations - Condensed Matter > Statistical MechanicsReport as inadecuate




One-Dimensional Impenetrable Anyons in Thermal Equilibrium. III. Large distance asymptotics of the space correlations - Condensed Matter > Statistical Mechanics - Download this document for free, or read online. Document in PDF available to download.

Abstract: Using the determinant representation for the field-field correlationfunctions of impenetrable anyons at finite temperature obtained in a previouspaper, we derive a system of nonlinear partial differential equationscompletely characterizing the correlators. The system is the same as the onefor impenetrable bosons but with different initial conditions. Thelarge-distance asymptotic behavior of the correlation functions is obtainedfrom the analysis of the Riemann-Hilbert problem associated with the system ofdifferential equations. We calculate both the exponential and pre-exponentialfactors in the asymptotics of the field-field correlators. The asymptoticsderived in this way agree with those of the free fermions and impenetrablebosons in the appropriate limits, $\kappa\to 1$ and $\kappa\to 0$, of thestatistics parameter $\kappa$, and coincide with the predictions of theconformal field theory at low temperatures.



Author: Ovidiu I. Patu, Vladimir E. Korepin, Dmitri V. Averin

Source: https://arxiv.org/







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