Large-Distance Asymptotic Behavior of the Correlation Functions of 1D Impenetrable Anyons at Finite Temperatures

Abstract

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.

5 pages, RevTeX4

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• Effective free-fermionic form factors and the XY spin chain
• On the Dynamics of Free-Fermionic Tau-Functions at Finite Temperature
• Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
• Non-conformal asymptotic behavior of the time-dependent field-field correlators of 1D anyons
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Dualities for anyons