Abstract
A nearest neighbor Heisenberg antiferromagnet on a face-centered cubic lattice is studied by extensive Monte Carlo simulations in zero magnetic field. The parallel tempering algorithm is utilized, which allows one to overcome a slow relaxation of the magnetic order parameter and to fully equilibrate moderately sized clusters with up to N ≃ 7 × 103 spins. By collecting energy and order parameter histograms on clusters with up to N ≃ 2 × 104 sites, we accurately locate the first-order transition point at T c = 0.4459(1)J.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
For a recent progress see Proceedings of the Highly Frustrated Magnetism 2003 Conference, J. Phys.: Condens. Matter 16, S553 (2004).
A. Danielian, Phys. Rev. 133, A1344 (1964); K. Binder, Phys. Rev. Lett. 45, 811 (1980); H. Meirovitch, Phys. Rev. B 30, 2866 (1984).
B. C. Frazer, G. Shirane, D. E. Cox, and C. E. Olsen, Phys. Rev. 140, A1448 (1965).
J. Faber and G. H. Lander, Phys. Rev. B 14, 1151 (1976).
D. Bloch, R. Maury, C. Vetter, and W. B. Yelon, Phys. Lett. A 49, 354 (1974).
C. L. Henley, J. Appl. Phys. 61, 3962 (1987).
B. Canals and M. E. Zhitomirsky, J. Phys.: Condens. Matter 16, S759 (2004).
S. A. Brazovskii, I. E. Dzyaloshinskii, and B. G. Kukharenko, Zh. Éksp. Teor. Fiz. 70, 2257 (1976) [Sov. Phys. JETP 43, 1178 (1976)].
D. Mukamel and S. Krinsky, Phys. Rev. B 13, 5078 (1976).
W. Minor and T. M. Giebultowicz, J. Phys. Colloq. 49, C8-1551 (1988).
H. T. Diep and H. Kawamura, Phys. Rev. B 40, 7019 (1989).
J. L. Alonco, A. Taranćon, H. G. Ballesteros, et al., Phys. Rev. B 53, 2537 (1996).
K. Hukushima and K. Nemoto, J. Phys. Soc. Jpn. 65, 1604 (1996).
E. Marinari, Advances in Computer Simulations, Ed. by J. Kertész and I. Kondor (Springer, Berlin, 1998), p. 50; cond-mat/9612010.
H. G. Katzgraber, M. Palassini, and A. P. Young, Phys. Rev. B 63, 184422 (2001); H. G. Katzgraber and A. P. Young, Phys. Rev. B 64, 104426 (2001); Phys. Rev. B 65, 214401 (2002).
L. W. Bernardi, K. Hukushima, and H. Takayama, J. Phys. A 32, 1787 (1999).
F. R. Brown and T. J. Woch, Phys. Rev. Lett. 58, 2394 (1987); M. Creutz, Phys. Rev. D 36, 515 (1987).
Author information
Authors and Affiliations
Additional information
From Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, Vol. 81, No. 5, 2005, pp. 297–301.
Original English Text Copyright © 2005 by Gvozdikova, Zhitomirsky.
This article was submitted by the authors in English.