The Bethe ansatz for 1D interacting anyons

M. T. Batchelor; X. W. Guan; J. S. He

doi:10.1088/1742-5468/2007/03/P03007

The Bethe ansatz for 1D interacting anyons

M. T. Batchelor^*, X. W. Guan, J. S. He

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

47 Citations (Scopus)

Abstract

This paper gives a pedagogic derivation of the Bethe ansatz solution for 1D interacting anyons. This includes a demonstration of the subtle role of the anyonic phases in the Bethe ansatz arising from the anyonic commutation relations. The thermodynamic Bethe ansatz equations defining the temperature dependent properties of the model are also derived, from which some ground state properties are obtained.

Original language	English
Article number	P03007
Journal	Journal of Statistical Mechanics: Theory and Experiment
Issue number	3
DOIs	https://doi.org/10.1088/1742-5468/2007/03/P03007
Publication status	Published - 1 Mar 2007

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KW - Quantum integrability (Bethe ansatz)

KW - Thermodynamic Bethe ansatz

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The Bethe ansatz for 1D interacting anyons

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