Critical behavior of the dilute antiferromagnet in a magnetic field
Loading...
Official URL
Full text at PDC
Publication date
2011
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Citations
Exportar
Citation
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).
Abstract
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).
Description
© 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).