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Phase transition in the three dimensional Heisenberg spin glass: Finite-size scaling analysis

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dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorPérez Gaviro, S.
dc.contributor.authorTarancón, A.
dc.contributor.authorYoung, A. P.
dc.date.accessioned2023-06-20T04:13:48Z
dc.date.available2023-06-20T04:13:48Z
dc.date.issued2009-07-22
dc.description© 2009 The American Physical Society. The CPU time used was 1.3 106 hours at CINECA through the EU DEISA initiative, 4.7 106 hours at the Mare Nostrum, 106 hours at Caesaraugusta, and 105 hours at the Hierarchical Systems Research Foundation. We were partly supported by MICINN Spain, research Contract No. FIS2006-08533-C03. The authors thankfully acknowledge the computer resources, technical expertise, and assistance provided by the staff at the Red Española de Supercomputación–Barcelona Supercomputing Center and at CINECA.
dc.description.abstractWe have investigated the phase transition in the Heisenberg spin glass using massive numerical simulations to study very large sizes, 483. A finite-size scaling analysis indicates that the data are compatible with the most economical scenario: a common transition temperature for spins and chiralities.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/37893
dc.identifier.doi10.1103/PhysRevB.80.024422
dc.identifier.issn1098-0121
dc.identifier.officialurlhttp://doi.org/10.1103/PhysRevB.80.024422
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/45068
dc.issue.number2
dc.journal.titlePhysical review B
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDFIS2006-08533-C03
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.cdu51-73
dc.subject.keywordMonte-Carlo.
dc.subject.ucmFísica (Física)
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco22 Física
dc.titlePhase transition in the three dimensional Heisenberg spin glass: Finite-size scaling analysis
dc.typejournal article
dc.volume.number80
dcterms.references1) H. G. Ballesteros, A. Cruz, L. A. Fernández, V. Martín-Mayor, J. Pech, J. J. Ruiz-Lorenzo, A. Tarancón, P. Téllez, C. L. Ullod, C. Ungil, Phys. Rev. B, 62, 14237, 2000. 2) H. G. Katzgraber, M. Körner, A. P. Young, Phys. Rev. B, 73, 224432, 2006. 3) M. Hasenbusch, A. Pelissetto, E. Vicari, Phys. Rev. B, 78, 214205, 2008. 4) R. Omari, J. J. Prejean, J. Souletie, J. Phys. (Paris), 44, 1069, 1983. 5) H. Kawamura, Phys. Rev. Lett., 80, 5421, 1998. 6) K. Hukushima, H. Kawamura, Phys. Rev. B, 72, 144416, 2005. 7) L. W. Lee, A. P. Young, Phys. Rev. Lett., 90, 227203, 2003. 8) I. Campos, M. Cotallo-Abán, V. Martín-Mayor, S. Pérez-Gaviro, A. Tarancón, Phys. Rev. Lett., 97, 217204, 2006. 9) L. W. Lee, A. P. Young, Phys. Rev. B, 76, 024405, 2007. 10) D. X. Viet, H. Kawamura, Phys. Rev. Lett., 102, 027202, 2009. 11) D. X. Viet, H. Kawamura, arXiv:0904.3699 (unpublished). 12) To our knowledge, a 483 lattice is the largest spin glass that has been thermalized near a finite-temperature phase transition. It is curious that larger sizes can be studied for the Heisenberg model than for the Ising cases [for which the 28^(3) samples studied by Hasenbusch et al. (Ref. 3) seems to be the record], even though the updating code is more complicated. Evidently, the barriers between valleys are lower in the Heisenberg model. 13) B. Cooper, B. Freedman, D. Preston, Nucl. Phys. B, 210, 210, 1982. 14) M. Palassini, S. Caracciolo, Phys. Rev. Lett., 82, 5128, 1999. 15) D. Amit, V. Martín-Mayor, Field Theory, the Renormalization Group and Critical Phenomena (World Scientific, Singapore), 2005. 16) K. Binder, Z. Phys. B: Condens. Matter, 43, 119, 1981. 17) H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, Phys. Lett. B, 387, 125, 1996. 18) M. P. Nightingale, Physica A, 83, 561, 1975. 19) K. Hukushima, K. Nemoto, J. Phys. Soc. Jpn., 65, 1604, 1996. 20) J. H. Pixley, A. P. Young, Phys. Rev. B, 78, 014419, 2008. 21) H. G. Katzgraber, M. Palassini, A. P. Young, Phys. Rev. B, 63, 184422, 2001. 22) L. A. Fernández, V. Martín-Mayor, Phys. Rev. E, 79, 051109, 2009. 23) A. Sokal, in Functional Integration: Basics and Applications, edited by C. DeWitt-Morette, P. Cartier, and A. Folacci (Plenum, New York), 1997.
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery146096b1-5825-4230-8ad9-b2dad468673b

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