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Numerical study of the enlarged O(5) symmetry of the 3D antiferromagnetic RP^(2) spin model

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dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorSciretti, D.
dc.contributor.authorTarancón, A.
dc.date.accessioned2023-06-20T11:17:40Z
dc.date.available2023-06-20T11:17:40Z
dc.date.issued2005-11-10
dc.description© 2005 Elsevier B.V. We are indebted with Juan Jesús Ruiz-Lorenzo for discussions. We are grateful to the Barcelona Supercomputing Center, for allowing us to use Mare Nostrum in its installation phase. Isabel Campos was crucial in this respect. About a third of the total simulation time was obtained from the cluster of the Instituto de Biocomputación y Física de Sistemas Complejos, in Zaragoza, and other computing resources of the Departamento de Física Teórica of Universidad de Zaragoza. We acknowledge partial financial support from Ministerio de Educación y Ciencia (Spain) though research contracts BFM2003-08532 and FIS2004-05073.
dc.description.abstractWe investigate by means of Monte Carlo simulation and finite-size scaling analysis the critical properties of the three dimensional O (5) non-linear σ model and of the antiferromagnetic RP^(2) model, both of them regularized on a lattice. High accuracy estimates are obtained for the critical exponents, universal dimensionless quantities and critical couplings. It is concluded that both models belong to the same universality class, provided that rather non-standard identifications are made for the momentum-space propagator of the RP^(2) model. We have also investigated the phase diagram of the RP^(2) model extended by a second-neighbor interaction. A rich phase diagram is found, where most of the phase transitions are of the first order.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Educación y Ciencia (Spain)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/38464
dc.identifier.doi10.1016/j.physletb.2005.09.049
dc.identifier.issn0370-2693
dc.identifier.officialurlhttp://doi.org/10.1016/j.physletb.2005.09.049
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51926
dc.issue.number3-4
dc.journal.titlePhysics letters B
dc.language.isoeng
dc.page.final290
dc.page.initial281
dc.publisherElsevier Science BV
dc.relation.projectIDBFM2003-08532
dc.relation.projectIDFIS2004-05073
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.cdu51-73
dc.subject.keywordCritical exponents
dc.subject.keywordRenormalization-group
dc.subject.keywordUniversality class
dc.subject.keywordMonte-Carlo
dc.subject.keywordIsing-model
dc.subject.keywordPHI(4) model
dc.subject.keywordRP(2) model
dc.subject.keywordDimensions
dc.subject.keywordHeisenberg
dc.subject.keywordMagnets.
dc.subject.ucmFísica (Física)
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco22 Física
dc.titleNumerical study of the enlarged O(5) symmetry of the 3D antiferromagnetic RP^(2) spin model
dc.typejournal article
dc.volume.number628
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