Laughlin type wave function for two-dimensional anyon fields in a KMS-state

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, LaTeX, comments and references added (version to appear in Physics Letters B)

Scientific paper

10.1016/S0370-2693(01)00262-3

The correlation functions of two-dimensional anyon fields in a KMS-state are studied. For T=0 the $n$-particle wave functions of noncanonical fermions of level $\alpha$, $\alpha$ odd, are shown to be of Laughlin type of order $\alpha$. For $T>0$ they are given by a simple finite-temperature generalization of Laughlin's wave function. This relates the first and second quantized pictures of the fractional quantum Hall effect.

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