Publication:
Dynamical transition in the D=3 Edwards-Anderson spin glass in an external magnetic field

Thumbnail Image
Files
FernándezPérezLuisAntonio01LIBRE.pdf (1.06 MB)
Official URL
http://doi.org/10.1103/PhysRevE.89.032140
Full text at PDC
Publication Date
2014-03-31
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Citations
Google Scholar
Exportar
DC QDC MarcXML RDF MODS METS ORE-ATOM
Research Projects
Organizational Units
Journal Issue
Abstract
We study the off-equilibrium dynamics of the three dimensional Ising spin glass in the presence of an external magnetic field. We have performed simulations both at fixed temperature and with an annealing protocol. Thanks to the Janus special-purpose computer, based on field-programmable gate array (FPGAs), we have been able to reach times equivalent to 0.01 s in experiments. We have studied the system relaxation both for high and for low temperatures, clearly identifying a dynamical transition point. This dynamical temperature is strictly positive and depends on the external applied magnetic field. We discuss different possibilities for the underlying physics, which include a thermodynamical spin-glass transition, a mode-coupling crossover, or an interpretation reminiscent of the random first-order picture of structural glasses.
Description
© 2014 American Physical Society. Artículo firmado por 24 autores. The Janus project has been partially supported by the EU (FEDER funds, Grant No. UNZA05-33-003, MEC-DGA, Spain); by the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013, ERC Grant agreement N. 247328); by the MICINN (Spain) (Contracts No. FIS2006-08533, No. FIS2012-35719-C02, No. FIS2010-16587, and No. TEC2010-19207); by the SUMA project of INFN (Italy); by CAM (Spain); by the Junta de Extremadura (GR10158); by the Microsoft Prize 2007 and by the European Union (PIRSES-GA-2011-295302). F.R.-T. was supported by the Italian Research Ministry through the FIRB Project No. RBFR086NN1; M.B.-J. was supported by the FPU program (Ministerio de Educación, Spain); R.A.B. and J.M.-G. were supported by the FPI program (Diputación de Aragón, Spain); S.P.-G. was supported by the ARAID foundation; finally, J.M.G.-N. was supported by the FPI program (Ministerio de Ciencia e Innovación, Spain).
UCM subjects
Física (Física) , Física-Modelos matemáticos
Unesco subjects
22 Física
Keywords
Citation
[1] P. G. Debenedetti, Metastable Liquids (Princeton University Press, Princeton, NJ, 1997). [2] P. G. Debenedetti, F. H. Stillinger, Nature (London), 410, 259 (2001). [3] A. Cavagna, Phys. Rep., 476, 51 (2009). [4] J. A. Mydosh, Spin Glasses: An Experimental Introduction (Taylor and Francis, London, 1993). [5] A. Montanari, G. Semerjian, J. Stat. Phys., 125, 23 (2006). [6] G. Adam, J. H. Gibbs, J. Chem. Phys., 43, 139 (1965). [7] E. R. Weeks, J. C. Crocker, A. C. Levitt, A. Schofield, D. A. Weitz, Science, 287, 627 (2000). [8] L. Berthier, G. Biroli, J.-P. Bouchaud, L. Cipelletti, D. El Masri, D. L’Hôte, F. Ladieu, M. Pierno, Science, 310, 1797 (2005). [9] K. Gunnarsson, P. Svedlindh, P. Nordblad, L. Lundgren, H. Aruga, A. Ito, Phys. Rev. B, 43, 8199 (1991). [10] M. Palassini, S. Caracciolo, Phys. Rev. Lett., 82, 5128 (1999). [11] 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). [12] D. Hérisson, M. Ocio, Phys. Rev. Lett., 88, 257202 (2002). [13] Y. G. Joh, R. Orbach, G. G. Wood, J. Hammann, E. Vincent, Phys. Rev. Lett., 82, 438 (1999). [14] F. Bert, V. Dupuis, E. Vincent, J. Hammann, J.-P. Bouchaud, Phys. Rev. Lett., 92, 167203 (2004). [15] A. Cruz, J. Pech, A. Tarancón, P. Téllez, C. L. Ullod, C. Ungil, Comput. Phys. Commun., 133, 165 (2001). [16] A. T. Ogielski, Phys. Rev. B, 32, 7384 (1985). [17] F. Belletti, F. Mantovani, G. Poli, S. F. Schifano, R. Tripiccione, I. Campos, A. Cruz, D. Navarro, S. Pérez-Gaviro, D. Sciretti, A. Tarancón, J. L. Velasco, P. Téllez, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, S. Jiménez, A. Maiorano, E. Marinari, J. J. Ruiz-Lorenzo (Janus Collaboration), Comput. Sci. Eng., 8, 41 (2006). [18] 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 (Janus Collaboration), Comput. Phys. Commun., 178, 208 (2008). [19] F. Belletti, M. Cotallo, A. Cruz, L. A. Fernández, A. Gordillo Guerrero, M. Guidetti, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, A. M. Sudupe, D. Navarro, G. Parisi, S. Pérez-Gaviro, J. J. Ruiz-Lorenzo, S. F. Schifano, D. Sciretti, A. Tarancón, R. Tripiccione, J. L. Velasco, D. Yllanes (Janus Collaboration), Phys. Rev. Lett., 101, 157201 (2008). [20] F. Belletti, A. Cruz, L. A. Fernández, A. Gordillo-Guerrero, M. Guidetti, A. Maiorano, F. Mantovani, E. Marinari, V. Martín Mayor, J. Monforte, A. Muñoz Sudupe, D. Navarro, G. Parisi, S. Pérez-Gaviro, J. J. Ruiz-Lorenzo, S. F. Schifano, D. Sciretti, A. Tarancón, R. Tripiccione, D. Yllanes (Janus Collaboration), J. Stat. Phys., 135, 1121 (2009). [21] R. Álvarez Baños, A. Cruz, L. A. Fernández, J. M. Gil-Narvión, A. Gordillo-Guerrero, M. Guidetti, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, J. Monforte-García, A. Muñoz Sudupe, D. Navarro, G. Parisi, S. Pérez-Gaviro, J. J. Ruiz Lorenzo, S. F. Schifano, B. Seoane, A. Tarancón, R. Tripiccione, D. Yllanes (Janus Collaboration), J. Stat. Mech., (2010) P06026. [22] R. Álvarez Baños, A. Cruz, L. A. Fernández, J. M. Gil-Narvión, A. Gordillo-Guerrero, M. Guidetti, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, J. Monforte-García, A. Muñoz Sudupe, D. Navarro, G. Parisi, S. Pérez-Gaviro, J. J. Ruiz Lorenzo, S. F. Schifano, B. Seoane, A. Tarancón, R. Tripiccione, D. Yllanes (Janus Collaboration), Phys. Rev. Lett., 105, 177202 (2010). [23] S. Franz, M. Mézard, G. Parisi, L. Peliti, Phys. Rev. Lett., 81, 1758 (1998). [24] J. R. L. de Almeida, D. J. Thouless, J. Phys. A: Math. Gen., 11, 983 (1978). [25] M. Mézard, G. Parisi, M. Virasoro, Spin-Glass Theory and Beyond (World Scientific, Singapore, 1987). [26] E. Marinari, G. Parisi, F. Ricci-Tersenghi, J. J. Ruiz-Lorenzo, F. Zuliani, J. Stat. Phys., 98, 973 (2000). [27] M. A. Moore, B. Drossel, Phys. Rev. Lett., 89, 217202 (2002). [28] C. J. Fullerton, M. A. Moore, arXiv:1304.4420. [29] T. R. Kirkpatrick, D. Thirumalai, Phys. Rev. B, 36, 5388 (1987). [30] T. R. Kirkpatrick, D. Thirumalai, P. G. Wolynes, Phys. Rev. A, 40, 1045 (1989). [31] W. Götze, T. F. Sjögren, Rep. Prog. Phys., 55, 241 (1992). [32] M. Mézard, G. Parisi, Phys. Rev. Lett., 82, 747 (1999). [33] M. Mézard, G. Parisi, J. Chem. Phys., 111, 1076 (1999). [34] B. Coluzzi, G. Parisi, P. Verrocchio, Phys. Rev. Lett., 84, 306 (2000). [35] G. Parisi, T. Rizzo, J. Phys. A: Math. Theor., 43, 235003 (2010). [36] S. Singh, M. Ediger, J. de Pablo, Nat. Mater., 12, 139 (2013). [37] W. L. McMillan, J. Phys. C: Solid State Phys., 17, 3179 (1984). [38] A. J. Bray, M. A. Moore, in Heidelberg Colloquium on Glassy Dynamics, Lecture Notes in Physics No. 275, edited by J. L. van Hemmen and I. Morgenstern (Springer, Berlin, 1987). [39] D. S. Fisher, D. A. Huse, Phys. Rev. Lett., 56, 1601 (1986). [40] D. S. Fisher, D. A. Huse, Phys. Rev. B, 38, 386 (1988). [41] M. A. Moore, A. J. Bray, Phys. Rev. B, 83, 224408 (2011). [42] G. Parisi, T. Temesvári, Nucl. Phys. B, 858, 293 (2012). [43] J. Yeo, M. A. Moore, Phys. Rev. E, 86, 052501 (2012). [44] A. P. Young, H. G. Katzgraber, Phys. Rev. Lett., 93, 207203 (2004). [45] T. Jörg, H. G. Katzgraber, F. Krzakala, Phys. Rev. Lett., 100, 197202 (2008). [46] P. E. Jönsson, H. Takayama, H. A. Katori, A. Ito, Phys. Rev. B, 71, 180412(R) (2005). [47] D. Petit, L. Fruchter, I. A. Campbell, Phys. Rev. Lett., 83, 5130 (1999). [48] D. Petit, L. Fruchter, I. A. Campbell, Phys. Rev. Lett., 88, 207206 (2002). [49] Y. Tabata, K. Matsuda, S. Kanada, T. Yamazaki, T. Waki, H. Nakamura, K. Sato, K. Kindo, J. Phys. Soc. Jpn., 79, 123704 (2010). [50] R. A. Baños, A. Cruz, L. A. Fernández, J. M. Gil Narvión, A. Gordillo-Guerrero, M. Guidetti, D. Íñiguez, A. Maiorano, E. Marinari, V. Martín-Mayor, J. Monforte-García, A. Muñoz Sudupe, D. Navarro, G. Parisi, S. Pérez-Gaviro, J. J. Ruiz Lorenzo, S. F. Schifano, B. Seoane, A. Tarancón, P. Téllez, R. Tripiccione, D. Yllanes, Proc. Natl. Acad. Sci. USA, 109, 6452 (2012). [51] G. Kotliar, P. W. Anderson, D. L. Stein, Phys. Rev. B, 27, 602 (1983). [52] D. Larson, H. G. Katzgraber, M. A. Moore, A. P. Young, Phys. Rev. B, 87, 024414 (2013). [53] L. Leuzzi, G. Parisi, Phys. Rev. B, 88, 224204 (2013). [54] C. de Dominicis, I. Giardina, Random Fields and Spin Glasses (Cambridge University Press, Cambridge, England, 2006). [55] G. Parisi, Field Theory, Disorder and Simulations (World Scientific, Singapore, 1994). [56] F. Belletti, M. Guidetti, A. Maiorano, F. Mantovani, S. F. Schifano, R. Tripiccione, M. Cotallo, S. Pérez-Gaviro, D. Sciretti, J. L. Velasco, A. Cruz, D. Navarro, A. Tarancón, L. A. Fernández, V. Martín-Mayor, A. Muñoz-Sudupe, D. Yllanes, A. Gordillo-Guerrero, J. J. Ruiz-Lorenzo, E. Marinari, G. Parisi, M. Rossi, G. Zanier (Janus Collaboration), Comput. Sci. Eng., 11, 48 (2009). [57] M. Baity-Jesi, R. A. Baños, A. Cruz, L. A. Fernández, J. M. Gil-Narvión, A. Gordillo-Guerrero, M. Guidetti, D. Íñiguez, A. Maiorano, F. Mantovani, E. Marinari, V. Martín Mayor, J. Monforte-García, A. Muñoz Sudupe, D. Navarro, G. Parisi, M. Pivanti, S. Pérez-Gaviro, F. Ricci-Tersenghi, J. J. Ruiz-Lorenzo, S. F. Schifano, B. Seoane, A. Tarancón, P. Téllez, R. Tripiccione, D. Yllanes, Eur. Phys. J.: Spec. Top., 210, 33 (2012). [58] M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables., 9th ed. (Dover, New York, 1972). [59] A. J. Bray, S. A. Roberts, J. Phys. C: Solid State Phys., 13, 5405 (1980). [60] D. S. Fisher, H. Sompolinsky, Phys. Rev. Lett., 54, 1063 (1985). [61] T. Temesvári, C. De Dominicis, Phys. Rev. Lett., 89, 097204 (2002). [62] T. Temesvári, Phys. Rev. B, 78, 220401 (2008). [63] A. K. Hartmann, Phys. Rev. E, 59, 84 (1999). [64] M. Palassini, A. P. Young, Phys. Rev. Lett., 83, 5126 (1999). [65] S. Boettcher, Eur. Phys. J. B, 38, 83 (2004). [66] M. Palassini, A. P. Young, Phys. Rev. Lett., 85, 3017 (2000). [67] F. Krzakala, O. C. Martin, Phys. Rev. Lett., 85, 3013 (2000). [68] D. Yllanes, arXiv:1111.0266. [69] H. Sompolinsky, A. Zippelius, Phys. Rev. B, 25, 6860 (1982). [70] T. Nattermann, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998). [71] W. Götze, Complex Dynamics of Glass-forming Liquids: A Mode-Coupling Theory (Oxford University Press, New York, 2009). [72] A. Andreanov, G. Biroli, J.-P. Bouchaud, Europhys. Lett., 88, 16001 (2009). [73] S. Franz, H. Jacquin, G. Parisi, P. Urbani, F. Zamponi, J. Chem. Phys., 138, 12A540 (2013). [74] S. Franz, H. Jacquin, G. Parisi, P. Urbani, F. Zamponi, Proc. Natl. Acad. Sci. USA, 109, 18725 (2012). [75] F. Caltagirone, U. Ferrari, L. Leuzzi, G. Parisi, F. RicciTersenghi, T. Rizzo, Phys. Rev. Lett., 108, 085702 (2012). [76] W. Kob, H. C. Andersen, Phys. Rev. Lett., 73, 1376 (1994). [77] V. Lubchenko, P. G. Wolynes, Annu. Rev. Phys. Chem., 58, 235 (2007). [78] T. Jonsson, K. Jonason, P. E. Jönsson, P. Nordblad, Phys. Rev. B, 59, 8770 (1999). [79] G. Parisi, F. Ricci-Tersenghi, J. J. Ruiz-Lorenzo, Phys. Rev. B, 57, 13617 (1998). [80] E. Marinari, G. Parisi, F. Zuliani, J. Phys. A: Math. Gen., 31, 1181 (1998). [81] M. Baity-Jesi, R. A. Baños, A. Cruz, L. A. Fernández, J. M. Gil-Narvión, A. Gordillo-Guerrero, D. Íñiguez, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, J. Monforte-García, A. Muñoz Sudupe, D. Navarro, G. Parisi, S. Pérez-Gaviro, M. Pivanti, F. Ricci-Tersenghi, J. J. Ruiz Lorenzo, S. F. Schifano, B. Seoane, A. Tarancón, R. Tripiccione, D. Yllanes (Janus Collaboration), Phys. Rev. B, 88, 224416 (2013). [82] S. Franz, G. Parisi, J. Phys.: Condens. Matter, 12, 6335 (2000). [83] T. R. Kirkpatrick, D. Thirumalai, Phys. Rev. A, 37, 4439 (1988). [84] A. Cavagna, T. S. Grigera, P. Verrocchio, Phys. Rev. Lett., 98, 187801 (2007). [85] G. B. J. P. Biroli, A. Cavagna, T. S. Grigera, P. Verrocchio, Nat. Phys., 4, 771 (2008). [86] E. Marinari, G. Parisi, J. J. Ruiz-Lorenzo, Phys. Rev. B, 58, 14852 (1998). [87] P. Contucci, C. Giardinà, Phys. Rev. B, 72, 014456 (2005). [88] P. Contucci, C. Giardinà, C. Giberti, C. Vernia, Phys. Rev. Lett., 96, 217204 (2006). [89] L. Leuzzi, G. Parisi, F. Ricci-Tersenghi, J. J. Ruiz Lorenzo, Phys. Rev. Lett., 103, 267201 (2009).
URI
https://hdl.handle.net/20.500.14352/35153
Collections
Artículos