Publication: Critical behavior of three-dimensional disordered Potts models with many states
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2010-05-05
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IOP Publishing
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Abstract
We study the 3D Disordered Potts Model with p = 5 and p = 6. Our numerical simulations (that severely slow down for increasing p) detect a very clear spin glass phase transition. We evaluate the critical exponents and the critical value of the temperature, and we use known results at lower p values to discuss how they evolve for increasing p. We do not find any sign of the presence of a transition to a ferromagnetic regime.
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© 2010 IOP Publishing Ltd and SISSA. Artículo firmado por 21 autores. Janus has been funded by European Union (FEDER) funds, Diputación General de Aragón (Spain), by a Microsoft Award - Sapienza - Italy, and by Eurotech. We were partially supported by MICINN (Spain), through contracts No. TEC2007-64188, FIS2006-08533-C03, FIS2007-60977, FIS2009-12648-C03 and UCM-Banco de Santander. D. Yllanes and B. Seoane are FPU Fellow (Spain). S.P.-G. was supported by FECYT (Spain). The authors would like to thank the Arénaire team, especially J. Detrey and F. de Dinechin for the VHDL code of the logarithm function 19.
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1) C. Brangian, W. Kob, K. Binder, Europhys. Lett., 53, 756-761 (2001), preprint arXiv:cond-mat/0009475
-- ibid, Phil. Mag. B, 82, 663 (2002), preprint arXiv:cond-mat/0104355
-- ibid, J. Phys. A : Math. Gen., 35, 191 (2002), preprint arXiv:cond-mat/0106314
-- ibid, Europhys. Lett., 59, 546 (2002), preprint arXiv:cond-mat/0202232
-- ibid, J. Phys. A: Math. Gen., 36, (2003) 10847, preprint arXiv:cond-mat/0211195.
2) 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, Comp. Phys. Comm., 178, 208 (2008).
3) F. Belletti, M. Cotallo, A. Cruz, L. A. Fernández, A. Gordillo-Guerrero, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, A. Muñoz-Sudupe, D. Navarro, S. Pérez Gaviro, M. Rossi, J. J. Ruiz-Lorenzo, S. F. Schifano, D. Sciretti, A. Tarancón, R. Tripiccione, J. L. Velasco, G. Zanier, D. Yllanes, Computing in Science & Engineering, 11, 48 (2009).
4) H. Nishimori, M. J. Stefen, Phys. Rev. B, 27, 5644 (1983).
-- E. Marinari, S. Mossa, G. Parisi, Phys. Rev. B, 59, 8401 (1999)
-- L. A. Fernández, A. Maiorano, V. Martín Mayor, D. Navarro, D. Sciretti, A. Tarancón, J. L. Velasco, Phys. Rev. B, 77, 104432 (2008)
-- D. M. Carlucci, Phys. Rev. B, 60, 9862 (1999)
-- J.L. Jacobsen, M. Picco, Phys. Rev B, 65, 026113 (2002).
5) L. W. Lee, H. G. Katzgraber, A. P. Young, Phys Rev. B, 74, 104416 (2006).
6) See for example D. J. Amit and V. Martín-Mayor, Field Theory, the Renormalization Group and Critical Phenomena, (World-Scientific, Singapore, third edition, 2005).
7) D. Elderfield, D. Sherrington, J. Phys. C, 16, L497 (1983).
-- D. Elderfield, D. Sherrington, J. Phys. C, 16, L971 (1983)
-- D. J. Gross, I. Kanter, H. Sompolinsky, Phys. Rev. Lett., 55, 304 (1985).
8) G. Parisi, F. Rapuano, Phys. Lett. B, 157, 301 (1995).
9) 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)
-- E. Marinari, Optimized Monte Carlo Methods, in Advances in Computer Simulation, edited by J. Kertész and Imre Kondor (Springer-Verlag, Berlin 1998), preprint arXiv:cond-mat/9612010
-- E. Marinari, G. Parisi, J. J. Ruiz-Lorenzo, Numerical Simulations of Spin Glass Systems in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1997).
10) L.A. Fernández, V. Martín-Mayor, S. Pérez-Gaviro, A. Tarancón, A.P. Young Phys. Rev. B, 80, 024422 (2009).
11) A. D. Sokal, Functional Integration. Basis and Applications, lectures given at the 1996 Cargèse Summer School, edited by C. DeWitt-Morette, P. Cartier and A. Folacci (Plenum, New York, USA 1997).
12) H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, Phys. Lett. B, 378, 207 (1996).
13) A. Cruz, L. A. Fernández, A. Gordillo-Guerrero, M. Guidetti, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, A. Muñoz 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, A. P. Young, Phys. Rev. B, 79, 184408 (2009).
14) A. Maiorano, V. Martín-Mayor, J. J. Ruiz-Lorenzo, A. Tarancón, Phys. Rev. B, 76, 064435 (2007).
15) H. G. Katzgraber, M. Körner, A. P. Young , Phys. Rev. B, 73, 224432 (2006)
16) M. Hasenbusch, A. Pelissetto, E. Vicari, Phys. Rev. B, 78, (2008) 214205.
17) T. R. Kirkpatrick, P. G. Wolynes, Phys. Rev. B, 36, 8552 (1987).
18) B. Lobe, W. Janke, K. Binder, Eur. Phys. J. B, 7, 283 (1999).
19) J. Detrey, F. de Dinechin, Microprocessors and Microsystems, 31, 537 (2007).