RT Journal Article T1 Critical behavior of the dilute antiferromagnet in a magnetic field A1 Fernández Pérez, Luis Antonio A1 Martín Mayor, Víctor A1 Yllanes, D. AB We study the critical behavior of the diluted antiferromagnet in a field with the tethered Monte Carlo formalism. We compute the critical exponents (including the elusive hyperscaling violations exponent θ). Our results provide a comprehensive description of the phase transition and clarify the inconsistencies between previous experimental and theoretical work. To do so, our method addresses the usual problems of numerical work (large tunneling barriers and self-averaging violations). PB American Physical Society SN 1098-0121 YR 2011 FD 2011-09-26 LK https://hdl.handle.net/20.500.14352/45046 UL https://hdl.handle.net/20.500.14352/45046 LA eng NO 1) T. Nattermann, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998), pp. 277–298 -- D. P. Belanger, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998), pp. 251–276.2) Z. Slanic, D. P. Belanger, J. A. Fernández-Baca, Phys. Rev. Lett., 82, 426 (1999).3) F. Ye, M. Matsuda, S. Katano, H. Yoshizawa, D. P. Belanger, E. T. Seppala, J. A. Fernández-Baca, M. J. Álava, J. Magn. & Magn. Mater., 272, 1298 (2004).4) D. P. Belanger, A. R. King, V. Jaccarino, J. L. Cardy, Phys. Rev. B, 28, 2522 (1983) -- D. P. Belanger, Z. Slanic, J. Magn. & Magn. Mater., 186, 65 (1998).5) A. A. Middleton, D. S. Fisher, Phys. Rev. B, 65, 134411 (2002).6) A. K. Hartmann, A. P. Young, Phys. Rev. B, 64, 214419 (2001) -- A. Malakis, N. G. Fytas, Phys. Rev. E, 73, 016109 (2006).7) N. Sourlas, Comput. Phys. Commun., 121, 183 (1999) -- Y. Wu, J. Machta, Phys. Rev. B, 74, 064418 (2006) -- A. Maiorano, V. Martín-Mayor, J. J. Ruiz-Lorenzo, A. Tarancón, ibid. 76, 064435 (2007).8) G. Parisi, N. Sourlas, Phys. Rev. Lett., 89, 257204 (2002) -- N. G. Fytas, A. Malakis, Eur. Phys. J. B, 79, 13 (2011).9) L. A. Fernández, V. Martín-Mayor, D. Yllanes, Nucl. Phys. B, 807, 424 (2009).10) V. Martín-Mayor, B. Seoane, D. Yllanes,J. Stat. Phys., 144, 554 (2011).11) L. A. Fernández, A. Gordillo-Guerrero, V. Martín-Mayor, J. J. Ruiz-Lorenzo, Phys. Rev. Lett., 100, 057201 (2008).12) 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. Ruiz-Lorenzo, S. F. Schifano, B. Seoane, A. Tarancón, R. Tripiccione, D. Yllanes (Janus Collaboration), J. Stat. Mech., (2010) P06026.13) H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, Phys. Lett. B, 378, 207 (1996).14) R. L. C. Vink, T. Fischer, K. Binder, Phys. Rev. E, 82, 051134 (2010) -- T. Fischer, R. L. C. Vink, J. Phys. Condens. Matter, 23, 234117 (2011).15) H. G. Ballesteros L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, J. J. Ruiz-Lorenzo, Phys. Rev. B, 58, 2740 (1998).16) M. Schwartz, A. Soffer, Phys. Rev. Lett., 55, 2499 (1985) -- ibid, Phys. Rev. B, 33, 2059 (1986).17) L. Fernández, V. Martín-Mayor, B. Seoane, P. Verrocchio, e-print arXiv:1103.2599.18) 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, Phys. Rev. Lett., 105, 177202 (2010).19) L. A. Fernández, V. Martín-Mayor, P. Verrocchio, Phys. Rev. E, 73, 020501 (2006). NO © 2011 American Physical Society. We thank N.G. Fytas for his comments on our manuscript. Our simulations were performed on the Red Española de Supercomputación and at BIFI (Terminus and Piregrid). We acknowledge partial financial support from MICINN, Spain (Contract No. FIS2009-12648-C03) and from UCM-Banco de Santander (GR32/10-A/910383). D.Y. was supported by the FPU program (Spain). NO Ministerio de Ciencia e Innovación (MICINN) NO UCM-Banco de Santander NO FPU program (Spain) DS Docta Complutense RD 1 sept 2024