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Color-dependent interactions in the three coloring model

cam.issuedOnline2018-07-03
dc.contributor.authorVerpoort, PC
dc.contributor.authorSimmons, J
dc.contributor.authorCastelnovo, C
dc.contributor.orcidVerpoort, Philipp [0000-0003-1319-5006]
dc.contributor.orcidCastelnovo, Claudio [0000-0003-1752-6343]
dc.date.accessioned2018-11-22T16:15:32Z
dc.date.available2018-11-22T16:15:32Z
dc.date.issued2018
dc.description.abstractSince it was first discussed by Baxter in 1970, the three coloring model has been studied in several contexts, from frustrated magnetism to superconducting devices and glassiness. In presence of interactions, when the model is no longer exactly soluble, it was already observed that the phase diagram is highly nontrivial. Here we discuss the generic case of "color-dependent" nearest-neighbor interactions between the vertex chiralities. We uncover different critical regimes merging into one another: c=1/2 free fermions combining into c=1 free bosons; c=1 free bosons combining into c=2 critical loop models; as well as three separate c=1/2 critical lines merging at a supersymmetric c=3/2 critical point. When the three coupling constants are tuned to equal one another, transfer-matrix calculations highlight a puzzling regime where the central charge appears to vary continuously from 3/2 to 2.
dc.description.sponsorshipThis work was supported in part by Engineering and Physical Sciences Research Council (EPSRC) Grant No. GR/R83712/01 and by EPSRC Postdoctoral Research Fellowship EP/G049394/1 (C. Castelnovo), and by EPSRC Grant No. EP/D070643/1 (JJHS). P. Verpoort acknowledges funding by the Studienstiftung des deutschen Volkes.
dc.identifier.doi10.17863/CAM.20497
dc.identifier.eissn2469-9969
dc.identifier.issn2469-9950
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/285729
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.publisher.urlhttp://dx.doi.org/10.1103/PhysRevB.98.024403
dc.subjectcond-mat.stat-mech
dc.subjectcond-mat.stat-mech
dc.subject82B20
dc.titleColor-dependent interactions in the three coloring model
dc.typeArticle
dcterms.dateAccepted2018-06-18
prism.number024403
prism.publicationNamePhysical Review B
prism.volume98
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/M007065/1)
rioxxterms.licenseref.startdate2018-06-18
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.typeJournal Article/Review
rioxxterms.versionAM
rioxxterms.versionofrecord10.1103/PhysRevB.98.024403

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