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Some remarks on a generalization of the superintegrable Chiral Potts Model

Baxter, Rodney

Description

The spontaneous magnetization of a two-dimensional lattice model can be expressed in terms of the partition function W of a system with fixed boundary spins and an extra weight dependent on the value of a particular central spin. For the superintegrable case of the chiral Potts model with cylindrical boundary conditions, W can be expressed in terms of reduced Hamiltonians H and a central spin operator S. We conjectured in a previous paper that W can be written as a determinant, similar to that...[Show more]

dc.contributor.authorBaxter, Rodney
dc.date.accessioned2015-12-08T22:11:01Z
dc.identifier.issn0022-4715
dc.identifier.urihttp://hdl.handle.net/1885/29612
dc.description.abstractThe spontaneous magnetization of a two-dimensional lattice model can be expressed in terms of the partition function W of a system with fixed boundary spins and an extra weight dependent on the value of a particular central spin. For the superintegrable case of the chiral Potts model with cylindrical boundary conditions, W can be expressed in terms of reduced Hamiltonians H and a central spin operator S. We conjectured in a previous paper that W can be written as a determinant, similar to that of the Ising model. Here we generalize this conjecture to any Hamiltonians that satisfy a more general Onsager algebra, and give a conjecture for the elements of S.
dc.publisherKluwer Academic Publishers
dc.sourceJournal of Statistical Physics
dc.subjectKeywords: Lattice models; Statistical mechanics; Transfer matrices
dc.titleSome remarks on a generalization of the superintegrable Chiral Potts Model
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume137
dc.date.issued2009
local.identifier.absfor010599 - Mathematical Physics not elsewhere classified
local.identifier.ariespublicationu9209279xPUB66
local.type.statusPublished Version
local.contributor.affiliationBaxter, Rodney, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage798
local.bibliographicCitation.lastpage813
local.identifier.doi10.1007/s10955-009-9778-1
dc.date.updated2016-02-24T11:54:54Z
local.identifier.scopusID2-s2.0-74449091543
local.identifier.thomsonID000272849100003
CollectionsANU Research Publications

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