Abstract
Thermodynamics of a layered Ising model with infinite-range ferromagnetic intralayer interaction and random nearest-neighbor interlayer coupling is considered. A detailed analysis of the model with vanishing average interlayer coupling is presented. The Gibbs free energy is found in the critical region, and the existence of many metastable states is demonstrated. Thermodynamic parameters of the system are found for periodic states. As the mean square interlayer coupling increases, the equilibrium state of the system undergoes an infinite sequence of first-order phase transitions, the number of magnetic planes and the distance between them change discontinuously, and so do both bulk magnetization and magnetic susceptibility.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. J. Lewis, B. D. Gaulin, L. Filion, et al., Phys. Rev. B 72, 014408 (2005).
T. Nachtrab, C. Bernhard, C. Lin, et al., condmat/0508044.
P. Zhou, J. E. Drumheller, B. Patyal, et al., Phys. Rev. B 45, 12365 (1992).
T. Motohashi, V. Caignaert, V. Pralong, et al., Appl. Phys. Lett. 86, 192504 (2005).
T. Motohashi, V. Caignaert, V. Pralong, et al., Phys. Rev. B 71, 214424 (2005).
A. Bajpai and A. Banerjee, Phys. Rev. B 55, 12439 (1997).
B. Berche, P. E. Berche, F. Igloi, et al., J. Phys. A 31, 5193 (1998).
N. Kawashima and H. Rieger, cond-mat/0312432.
Yu. M. Gufan and V. P. Sakhnenko, Zh. Éksp. Teor. Fiz. 69, 1428 (1975) [Sov. Phys. JETP 42, 728 (1975)].
A. J. Bray and M. A. Moore, Phys. Rev. Lett. 58, 57 (1987).
A. J. Bray and M. A. Moore, J. Phys. C 13, L469 (1980); T. Aspelmeier, A. J. Bray, and M. A. Moore, Phys. Rev. Lett. 92, 087203 (2004).
P. N. Timonin, Zh. Éksp. Teor. Fiz. 119, 1198 (2001) [JETP 92, 1038 (2001)].
O. L. White and D. S. Fisher, cond-mat/0412335.
Author information
Authors and Affiliations
Additional information
Original Russian Text © P.N. Timonin, 2006, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2006, Vol. 129, No. 3, pp. 507–516.