Abstract
The phenomenon of nonrepeatability of successive remagnetization cycles in Co/M (M = Pt, Pd, Au) multilayer film structures is explained in the framework of the Kolmogorov crystallization model. It is shown that this model of phase transitions can be adapted so as to adequately describe the process of magnetic relaxation in the indicated systems with “memory.” For this purpose, it is necessary to introduce some additional elements into the model, in particular, (i) to take into account the fact that every cycle starts from a state “inherited” from the preceding cycle and (ii) to assume that the rate of growth of a new magnetic phase depends on the cycle number. This modified model provides a quite satisfactory qualitative and quantitative description of all features of successive magnetic relaxation cycles in the system under consideration, including the surprising phenomenon of cumulative growth of minor hysteresis loops.
Similar content being viewed by others
References
E. Della Torre, Magnetic Hysteresis (Wiley, New York, 1998).
G. Bertotti, Hysteresis in Magnetism (Academic, New York, 1998).
E. Della Torre and F. Vajda, IEEE Trans. Magn. 31, 1775 (1995).
J. Ferré, V. Grolier, P. Meyer, S. Lemerle, A. Maziewski, E. Stefanowicz, S. V. Tarasenko, V. V. Tarasenko, M. Kisielewski, and D. Renard, Phys. Rev. B: Condens. Matter 55, 15092 (1997).
A. Berger, S. Mangin, J. McCord, O. Hellwig, and E. E. Fullerton, Phys. Rev. B: Condens. Matter 82, 104423, (2010).
Y. L. Iunin, Y. P. Kabanov, V. I. Nikitenko, X. M. Cheng, D. Clarke, O. A. Tretiakov, O. Tchernyshyov, A. J. Shapiro, R. D. Shull, and C. L. Chien, Phys. Rev. Lett. 98, 117204 (2007).
Y. W. Windsor, A. Gerber, and M. Karpovski, Phys. Rev. B 85, 064409 (2012).
A. E. Kolmogorov, Izv. Akad. Nauk SSSR, Ser. Fiz.-Mat. Nauk 1, 355 (1937).
M. Avrami, J. Chem. Phys. 7, 1103 (1939); M. Avrami, J. Chem. Phys. 8, 212 (1940); M. Avrami, J. Chem. Phys. 9, 177 (1941).
V. Z. Belen’kii, Geometric and Probabilistic Models of Crystallization: A Phenomenological Approach (Nauka, Moscow, 1980) [in Russian].
E. Fatuzzo, Phys. Rev. 127, 1999 (1962).
M. Labrune, S. Andrieu, F. Rio, and P. Bernstein, J. Magn. Magn. Mater. 80, 211 (1989).
T. Ohta, Y. Enomoto, and R. Kato, Phys. Rev. B: Condens. Matter 43, 13262 (1991).
A. S. Bakai, H. Hermann, and N. P. Lazarev, Philos. Mag. 82, 1521 (2002).
P. Bruna, D. Crespo, R. González-Cinca, and E. Pinedab, J. Appl. Phys. 100, 054907 (2006).
H. Xi, K.-Z. Gao, J. Ouyang, and Y. Shi, J. Phys.: Condens. Matter. 20, 295220 (2008).
N. V. Alekseechkin, J. Non-Cryst. Solids 357, 3159 (2011).
S. Okamoto, T. Kato, N. Kikuchi, O. Kitakami, N. Tezuka, and S. Sugimoto, J. Appl. Phys. 103, 07C501 (2008).
S.-B. Choe and S.-C. Shin, Appl. Phys. Lett. 70, 3612 (1997).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E.Z. Meilikhov, R.M. Farzetdinova, 2013, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 143, No. 1, pp. 121–128.
Rights and permissions
About this article
Cite this article
Meilikhov, E.Z., Farzetdinova, R.M. Cumulative growth of minor hysteresis loops in the Kolmogorov model. J. Exp. Theor. Phys. 116, 105–111 (2013). https://doi.org/10.1134/S1063776113010081
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776113010081