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Critical behavior of the three-dimensional Ising spin glass

dc.contributor.authorBallesteros, H. G.
dc.contributor.authorCruz, A.
dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorPech, J.
dc.contributor.authorRuiz Lorenzo, J. J.
dc.contributor.authorTarancón, A.
dc.contributor.authorTéllez, P.
dc.contributor.authorUllod, C. L.
dc.contributor.authorUngil, C.
dc.date.accessioned2023-06-20T20:18:52Z
dc.date.available2023-06-20T20:18:52Z
dc.date.issued2000-12-01
dc.description© 2000 The American Physical Society. We acknowledge discussions with E. Marinari and G. Parisi. We are grateful for the partial financial support from CICyT (AEN97-1680, AEN97-1693, AEN99-0990, and PB98-0842) and DGA (P46/97). V.M-M. was supported by a M.E.C. The computations have been carried out using the RTNN machines (Universidad de Zaragoza and Universidad Complutense de Madrid) and the dedicated machine SUE (Universidad de Zaragoza).
dc.description.abstractWe have simulated, using parallel tempering, the three-dimensional Ising spin glass model with binary couplings in a helicoidal geometry. The largest lattice (L520) has been studied using a dedicated computer (the SUE machine). We have obtained, measuring the correlation length in the critical region, strong evidence for a second-order finite-temperature phase transition, ruling out other possible scenarios like a KosterlitzThouless phase transition. Precise values for the ν and ƞ critical exponents are also presented.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipCICyT, Spain
dc.description.sponsorshipDGA, Spain
dc.description.sponsorshipM.E.C., Spain
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/40445
dc.identifier.doi10.1103/PhysRevB.62.14237
dc.identifier.issn1098-0121
dc.identifier.officialurlhttp://doi.org/10.1103/PhysRevB.62.14237
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/60066
dc.issue.number21
dc.journal.titlePhysical review B
dc.language.isoeng
dc.page.final14245
dc.page.initial14237
dc.publisherAmerican Physical Society
dc.relation.projectIDAEN97-1680
dc.relation.projectIDAEN97-1693
dc.relation.projectIDAEN99-0990
dc.relation.projectIDPB98-0842
dc.relation.projectIDP46/97
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordAntiferromagnetic RP(2) model
dc.subject.keywordMonte-Carlo simulations
dc.subject.keywordMean field-theory
dc.subject.keyword3 dimensions
dc.subject.keywordCirtical exponents
dc.subject.keywordCorrelation length
dc.subject.keywordReplica symmetry
dc.subject.keywordTransitions
dc.subject.keywordEquilibrium
dc.subject.keywordDynamics.
dc.subject.ucmFísica (Física)
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco22 Física
dc.titleCritical behavior of the three-dimensional Ising spin glass
dc.typejournal article
dc.volume.number62
dcterms.references1) K. Binder, A. P. Young, Rev. Mod. Phys., 58, 801 (1986) -- M. Mézard, G. Parisi, M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987) -- K. H. Fisher, J. A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, U.K., 1991). 2) G. Parisi, Phys. Lett., 73A, 203 (1979) -- ibid., J. Phys. A, 13, L115 (1980) -- ibid., 13, 1101 (1980) -- ibid., 13, 1887 (1980). 3) J. A. Mydosh, Spin Glasses: An Experimental Introduction (Taylor & Francis, London 1993). 4) See, for example, the following recent papers: M. Palassini and A. P. Young, Phys. Rev. Lett., 83, 5126 (1999) -- cond-mat/0004485 -- E Marinari, G. Parisi, F. Ricci-Tersenghi, J. J. Ruiz-Lorenzo, F. Zuliani, J. Stat. Phys., 98, 973 (2000) -- E. Marinari, G. Parisi, cond-mat/0005047. 5) K. Gunnarsson, et al., Phys. Rev. B, 43, 8199 (1991). -- See also P. Norblad and P. Svendlidh, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1997). 6) C. de Dominicis, I. Kondor, T. Temesvári, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1997). 7) N. Kawashima, A. P. Young, Phys. Rev. B, 53, R484 (1996). 8) D. Íñiguez, G. Parisi, J. J. Ruiz-Lorenzo, J. Phys. A, 29, 4337 (1996). 9) E. Marinari, G. Parisi, J. J. Ruiz-Lorenzo, Phys. Rev. B, 58, 14, 852 (1998). 10) D. Íñiguez, E. Marinari, G. Parisi, J. J. Ruiz-Lorenzo, J. Phys. A, 30, 7337 (1997). 11) B. A. Berg, W. Janke, Phys. Rev. Lett., 80, 4771 (1998) -- W. Janke, B. A. Berg, A. Billoire, Ann. Phys (Leipzig) 7, 544 (1998). 12) M. Palassini, X. Caracciolo, Phys. Rev. Lett., 82, 5128 (1999). 13) A. T. Ogielski, Phys. Rev. B, 32, 7384 (1985). 14) R. N. Bahtt, A. P. Young, Phys. Rev. Lett., 54, 924 (1985). 15) R. N. Bahtt, A. P. Young, Phys. Rev. B, 37, 5606 (1988). 16) M. Tesi, E. Janse van Resburg, E. Orlandini, S. G. Whillington, J. Stat. Phys., 82, 155 (1996) -- K. Hukushima, K. Nemoto, J. Phys. Soc. Jpn., 65, 1604 (1996). 17) E. Marinari, Optimized Monte Carlo Methods, Lecture Notes in Physics Vol. 501 (Springer-Verlag, Heidelberg, 1998). 18) E. Marinari, G. Parisi, J. J. Ruiz-Lorenzo, in Numerical Simulations of Spin Glass Systems in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1997). 19) F. Cooper, B. Freedman, D. Preston, Nucl. Phys. B, 210, 210 (1989). 20) See, for instance, M. N. Barber, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, London, 1983), Vol. 8. 21) M. Lüsher, P. Weisz, U. Wolff, Nucl. Phys. B, 359, 221 (1991) -- J.-K. Kim, Phys. Rev. Lett., 70, 1735 (1993) -- S. Caracciolo, R. G. Edwards, S. J. Ferreira, A. Sokal, ibid., 74, 2969 (1995) -- S. Caracciolo, R. G. Edwards, A. Sokal, ibid., 75, 1891 (1995). 22) H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, Phys. Lett. B, 378, 207 (1996) -- ibid., Nucl. Phys. B, 483, 707 (1997). 23) J. Kisker, L. Santen, M. Schreckenberg, H. Rieger, Phys. Rev. B, 53, 6418 (1996) -- E. Marinari, G. Parisi, J. J. Ruiz-Lorenzo, F. Ritort, Phys. Rev. Lett., 76, 843 (1996) -- Y. G. Joh, R. Orbach, G. G. Wood, J. Hammann, E. Vincent, ibid., 82, 438 (1999) -- G. Parisi, E. Marinari, F. Ricci-Tersenghi, J. J. Ruiz-Lorenzo, J. Phys. A, 33, 2373 (2000). 24) H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, J. J. Ruiz-Lorenzo, Phys. Lett. B, 400, 346 (1997) -- ibid., Nucl. Phys. B, 512[FS], 681 (1998) -- ibid., Phys. Rev. B, 58, 2740 (1998). 25) E. Marinari, V. Martín-Mayor, A. Pagnani, Phys. Rev. B, 62, 4999 (2000). 26) F. Ritort, M. Sales, J. Phys. A, 33, 6505 (2000). 27) K. Binder, Z. Phys. B: Condens. Matter, 43, 119 (1981). 28) E. Marinari, C. Naitza, G. Parisi, M. Picco, F. Ritort, F. Zuliani, Phys. Rev. Lett., 81, 1698 (1998). 29) J. Pech, A. Tarancón, C. L. Ullod, Comput. Phys. Commun., 106, 10 (1997). 30) J. J. Ruiz-Lorenzo, C. L. Ullod, Comput. Phys. Commun., 125, 210 (2000). 31) A. Cruz, J. Pech, A. Tarancón, P. Téllez, C. L. Ullod, C. Ungil, cond-mat/0004080 (unpublished). 32) H. G. Ballesteros, V. Martín-Mayor, Phys. Rev. E, 58, 6787 (1998). 33) M. Falcioni, E. Marinari, M. L. Paciello, G. Parisi, B. Taglienti, Phys. Lett., 108B, 331 (1982) -- A. M. Ferrenberg, R. H. Swendsen, Phys. Rev. Lett., 61, 2635 (1988). 34) A. D. Sokal, in Quantum Fields on the Computer, Advanced Series on Directions in High Energy Physics, Vol. 11, edited by M. Creutz (World Scientific, Singapore, 1992). 35) We have simulated the two-dimensional XY model using the Wolff single-cluster algorithm (Ref. 36). We have done different runs, near the critical point b.1.11, on lattice sizes L516, 32, and 64, using the spectral density method in the analysis of the data. 36) U. Wolff, Phys. Rev. Lett., 62, 361 (1989). 37) J. Salas, A. D. Sokal, cond-mat/9904038 (unpublished).
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relation.isAuthorOfPublication.latestForDiscovery146096b1-5825-4230-8ad9-b2dad468673b

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