Aviso: para depositar documentos, por favor, inicia sesión e identifícate con tu cuenta de correo institucional de la UCM con el botón MI CUENTA UCM. No emplees la opción AUTENTICACIÓN CON CONTRASEÑA
 

Critical properties of the four-state commutative random permutation glassy Potts model in three and four dimensions

Simple item page
dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorMaiorano, A.
dc.contributor.authorMarinari, E.
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorNavarro, D.
dc.contributor.authorSciretti, D.
dc.contributor.authorTarancón, A.
dc.contributor.authorVelasco, J. L.
dc.date.accessioned2023-06-20T11:16:23Z
dc.date.available2023-06-20T11:16:23Z
dc.date.issued2008-03-24
dc.description© 2008 The American Physical Society. We acknowledge partial financial support from CAM-UCM and UCM-BSCH, and from MEC through research contracts Nos. FIS2006-08533-C03 and TEC2007-64188. J.L.V. is supported by DGA. We thank Stefano Mossa, Giorgio Parisi, and Cristina Picus for a number of conversations about the glassy Potts models and more. We thank Raffaele Tripiccione and all the JANUS Collaboration for their continuous help, which could not have been more important for us.
dc.description.abstractWe investigate the critical properties of the four-state commutative random permutation glassy Potts model in three and four dimensions by means of Monte Carlo simulations and a finite-size scaling analysis. By using a field programmable gate array, we have been able to thermalize a large number of samples of systems with large volume. This has allowed us to observe a spin-glass ordered phase in d=4 and to study the critical properties of the transition. In d=3, our results are consistent with the presence of a Kosterlitz-Thouless transition, but also with different scenarios: transient effects due to a value of the lower critical dimension slightly below 3 could be very important.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipComunidad de Madrid-Universidad Complutense
dc.description.sponsorshipUCM-BSCH (Spain)
dc.description.sponsorshipMEC (Spain)
dc.description.sponsorshipDGA
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/37983
dc.identifier.doi10.1103/PhysRevB.77.104432
dc.identifier.issn1098-0121
dc.identifier.officialurlhttp://doi.org/10.1103/PhysRevB.77.104432
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51902
dc.issue.number10
dc.journal.titlePhysical review B
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDFIS2006-08533-C03
dc.relation.projectIDTEC2007-64188
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.cdu51-73
dc.subject.keywordAntiferromagnetic RP(2) model
dc.subject.keywordLattice spin model
dc.subject.keywordMonte-Carlo
dc.subject.keywordHypercubic lattices
dc.subject.keywordFerromagnetic phase
dc.subject.keyword3 dimensions
dc.subject.keywordField-theory
dc.subject.keywordTransitions
dc.subject.keywordComputer
dc.subject.keywordDynamics.
dc.subject.ucmFísica (Física)
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco22 Física
dc.titleCritical properties of the four-state commutative random permutation glassy Potts model in three and four dimensions
dc.typejournal article
dc.volume.number77
dcterms.references1) E. Gardner, Nucl. Phys. B, 257, 747, 1985. 2) D. Elderfield, D. Sherrington, J. Phys. C, 16, L497, 1983. 3) D. Elderfield, D. Sherrington, J. Phys. C, 16, L971, 1983. 4) D. J. Gross, I. Kanter, H. Sompolinsky, Phys. Rev. Lett., 55, 304, 1985. 5) H. Nishimori, M. J. Stephen, Phys. Rev. B, 27, 5644, 1983. 6) E. Marinari, S. Mossa, G. Parisi, Phys. Rev. B, 59, 8401, 1999. 7) S. Franz, M. Mézard, F. Ricci-Tersenghi, M. Weigt, R. Zecchina, Europhys. Lett., 55, 465, 2001. 8) A. Cavagna, I. Giardina, T. S. Grigera, Europhys. Lett., 61, 74, 2003 -- A. Cavagna, I. Giardina, T. S. Grigera, J. Chem. Phys., 118, 6974, 2003. 9) F. Krzakala, L. Zdeborová, EPL, 81, 57005, 2008. 10) K. Binder, J. D. Reger, Adv. Phys., 41, 547, 1992. 11) See, e.g., M. Mézard, G. Parisi, M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore) 1987. 12) D. J. Gross, M. Mézard, Nucl. Phys. B, 240, 431, 1984. 13) T. R. Kirkpatrick, P. G. Wolynes, Phys. Rev. B, 36, 8552, 1987. 14) T. R. Kirkpatrick, D. Thirumalai, Phys. Rev. B, 37, 5342, 1988. 15) W. Götze, L. Sjögren, Rep. Prog. Phys., 55, 241, 1992. 16) J. P. Bouchaud, L. F. Cugliandolo, J. Kurchan, M. Mézard, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore) 1997. 17) K. Binder, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore) 1997. 18) J. R. Banavar, M. Cieplak, Phys. Rev. B, 39, 9633, 1989. 19) J. R. Banavar, M. Cieplak, Phys. Rev. B, 40, 4613, 1989. 20) M. Scheucher, J. D. Reger, K. Binder, A. P. Young, Phys. Rev. B, 42, 6881, 1990. 21) M. Scheucher, J. D. Reger, Phys. Rev. B, 45, 2499, 1992. 22) M. Reuhl, P. Nielaba, K. Binder, Eur. Phys. J. B, 2, 225, 1998. 23) O. Carmesin, K. Binder, J. Phys. A, 21, 4053, 1988. 24) R. R. P. Singh, Phys. Rev. B, 43, 6299, 1991. 25) B. Lobe, W. Janke, K. Binder, Eur. Phys. J. B, 7, 283, 1999. 26) L. W. Lee, H. G. Katzgraber, A. P. Young, Phys. Rev. B, 74, 104416, 2006. 27) C. Brangian, W. Kob, K. Binder, Europhys. Lett., 59, 546, 2002. 28) C. Brangian, W. Kob, K. Binder, J. Phys. A, 36, 10847, 2003. 29) M. P. Eastwood, P. G. Wolynes, Europhys. Lett., 60, 587, 2002. 30) G. Toulouse, Commun. Phys. (London), 2, 115, 1977. 31) D. M. Carlucci, Phys. Rev. B, 60, 9862, 1999. 32) F. Belletti, M. Cotallo, A. Cruz, L. A. Fernández, A. Gordillo, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, A. Muñoz-Sudupe, D. Navarro, S. Pérez- Gaviro, J. J. Ruiz Lorenzo, S. F. Schifano, D. Sciretti, A. Tarancón, R. Tripiccione, J. L. Velasco, Comput. Phys. Commun., 178, 208, 2008. 33) E. Marinari, G. Parisi, J. J. Ruiz-Lorenzo, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore) 1997. 34) B. Cooper, B. Freedman, D. Preston, Nucl. Phys. B, 210, 210, 1982. 35) D. Amit, V. Martín-Mayor, Field Theory, the Renormalization Group and Critical Phenomena, 3rd ed. (World-Scientific, Singapore) 2005. 36) M. Falcioni, E. Marinari, M. L. Paciello, G. Parisi, B. Taglienti, Phys. Lett., 108B, 331, 1982. 37) A. M. Ferrenberg, R. H. Swendsen, Phys. Rev. Lett., 61, 2635, 1988. 38) H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, J. J. Ruiz-Lorenzo, Nucl. Phys. B, 512, 681, 1998. 39) H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, Phys. Lett. B, 378, 207, 1996. 40) H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, Nucl. Phys. B, 483, 707, 1997. 41) G. Parisi, F. Rapuano, Phys. Lett., 157B, 301, 1985. 42) J. M. Kosterlitz, D. J. Thouless, J. Phys. C, 6, 1181, 1973. 43) A. Cruz, J. Pech, A. Tarancón, P. Téllez, C. L. Ullod, C. Ungil, Comput. Phys. Commun., 133, 165, 2001.
dspace.entity.typePublication
relation.isAuthorOfPublication146096b1-5825-4230-8ad9-b2dad468673b
relation.isAuthorOfPublication061118c0-eadf-4ee3-8897-2c9b65a6df66
relation.isAuthorOfPublication.latestForDiscovery146096b1-5825-4230-8ad9-b2dad468673b

Download

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
FernándezPérezLuisAntonio24LIBRE.pdf
Size:
173.78 KB
Format:
Adobe Portable Document Format
downoload Download

Collections

Artículos