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Derivation of the order parameter of the chiral Potts model

Baxter, Rodney

Description

The order parameters derived and verified for the chiral Potts model, that is one of the N-state spins with nearest-neighbor interactions on a planar lattice, using the Jimbo method were discussed. It was found that the method was quite similar to the inversion relation method for calculating the free energy. The free energy of the model was obtained using functional transfer matrix relations. The results show that the chiral Potts model agreed with previous conjectures.

dc.contributor.authorBaxter, Rodney
dc.date.accessioned2015-12-08T22:45:55Z
dc.identifier.issn0031-9007
dc.identifier.urihttp://hdl.handle.net/1885/37922
dc.description.abstractThe order parameters derived and verified for the chiral Potts model, that is one of the N-state spins with nearest-neighbor interactions on a planar lattice, using the Jimbo method were discussed. It was found that the method was quite similar to the inversion relation method for calculating the free energy. The free energy of the model was obtained using functional transfer matrix relations. The results show that the chiral Potts model agreed with previous conjectures.
dc.publisherAmerican Physical Society
dc.sourcePhysical Review Letters
dc.subjectKeywords: Chiral Potts model; Inverse relation method; Jimbo method; Order parameters; Ferromagnetism; Free energy; Function evaluation; Magnetization; Matrix algebra; Polynomials; Transfer functions; Mathematical models
dc.titleDerivation of the order parameter of the chiral Potts model
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume94
dc.date.issued2005
local.identifier.absfor010107 - Mathematical Logic, Set Theory, Lattices and Universal Algebra
local.identifier.ariespublicationu4133361xPUB155
local.type.statusPublished Version
local.contributor.affiliationBaxter, Rodney, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue13
local.bibliographicCitation.startpage130602
local.identifier.doi10.1103/PhysRevLett.94.130602
dc.date.updated2015-12-08T10:56:15Z
local.identifier.scopusID2-s2.0-18144391582
CollectionsANU Research Publications

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