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The Bethe Ansatz for 1D Interacting Anyons

Batchelor, Murray; Guan, Xi-Wen; He, J.S.

Description

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.

dc.contributor.authorBatchelor, Murray
dc.contributor.authorGuan, Xi-Wen
dc.contributor.authorHe, J.S.
dc.date.accessioned2015-12-08T22:18:39Z
dc.identifier.issn1742-5468
dc.identifier.urihttp://hdl.handle.net/1885/31439
dc.description.abstractThis 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.
dc.publisherInstitute of Physics Publishing
dc.sourceJournal of Statistical Mechanics: Theory and Experiment
dc.subjectKeywords: Quantum integrability (Bethe ansatz); Thermodynamic Bethe ansatz
dc.titleThe Bethe Ansatz for 1D Interacting Anyons
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolumeP03007 March
dc.date.issued2007
local.identifier.absfor010501 - Algebraic Structures in Mathematical Physics
local.identifier.absfor010399 - Numerical and Computational Mathematics not elsewhere classified
local.identifier.ariespublicationu4056230xPUB83
local.type.statusPublished Version
local.contributor.affiliationBatchelor, Murray, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationGuan, Xi-Wen, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationHe, J.S., University of Science and Technology of China
local.description.embargo2037-12-31
local.bibliographicCitation.issueOnline
local.bibliographicCitation.startpage1
local.bibliographicCitation.lastpage20
local.identifier.doi10.1088/1742-5468/2007/03/P03007
dc.date.updated2015-12-08T08:18:10Z
local.identifier.scopusID2-s2.0-42749108894
CollectionsANU Research Publications

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