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Energy spectrum and critical exponents of the free parafermion Z(N) spin chain

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dc.contributor.authorAlcaraz, Francisco C.
dc.contributor.authorBatchelor, Murray
dc.contributor.authorLiu, Zi-Zhong
dc.date.accessioned2020-06-15T04:15:16Z
dc.date.issued2017
dc.date.updated2022-06-12T08:16:33Z
dc.description.abstractResults are given for the ground state energy and excitation spectrum of a simple N-state Z(N) spin chain described by free parafermions. The model is non-Hermitian for N >= 3 with a real ground state energy and a complex excitation spectrum. Although having a simpler Hamiltonian than the superintegrable chiral Potts model, the model is seen to share some properties with it, e.g. the specific heat exponent alpha = 1 - 2/N and the anisotropic correlation length exponents nu(parallel to) = 1 and nu(perpendicular to) = 2/N.
dc.description.sponsorshipThe work of FCA was supported in part by the Brazilian agencies FAPESP and CNPq. MTB acknowledges support from the 1000 Talent Plan and Chongqing University in China. The work of MTB has also been supported by National Natural Science Foundation of China Grant No. 11574405 and Australian Research Council Discovery Project DP130102839.en_AU
dc.format.extent9 pages
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn1751-8113en_AU
dc.identifier.urihttp://hdl.handle.net/1885/205087
dc.language.isoen_AUen_AU
dc.publisherIOP Electronic Journals
dc.relationhttp://purl.org/au-research/grants/arc/DP130102839
dc.rights© 2017 IOP Publishing Ltd
dc.sourceJournal of Physics A: Mathematical and Theoretical
dc.subjectfree parafermions, ZN spin chain, critical exponents
dc.titleEnergy spectrum and critical exponents of the free parafermion Z(N) spin chain
dc.typeJournal article
dcterms.dateAccepted2017-03-03
local.bibliographicCitation.issue16en_AU
local.bibliographicCitation.lastpage8en_AU
local.bibliographicCitation.startpage1en_AU
local.contributor.affiliationAlcaraz, Francisco C. , Instituto de Física de São Carlosen_AU
local.contributor.affiliationBatchelor, Murray, College of Science, The Australian National Universityen_AU
local.contributor.affiliationLiu, Zi-Zhong, Chongqing Universityen_AU
local.contributor.authoruidBatchelor, Murray, u8506863en_AU
local.description.embargo2037-12-31
local.description.notesImported from ARIESen_AU
local.identifier.absfor010506 - Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matteren_AU
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciencesen_AU
local.identifier.ariespublicationu4485658xPUB557en_AU
local.identifier.citationvolume50en_AU
local.identifier.doi10.1088/1751-8121/aa645aen_AU
local.identifier.essn1751-8121en_AU
local.identifier.scopusID2-s2.0-85016838317
local.identifier.thomsonID000425225500001
local.publisher.urlhttps://iopscience.iop.org/en_AU
local.type.statusPublished Versionen_AU

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