Abstract
The evolution of the magnetic states in nanostructures with competing surface and bulk anisotropies was studied under a variation in the applied magnetic field. For spatially uniform magnetic states, the energy functional reduces to the energy of a bulk magnet in which the effective anisotropy depends on the thickness of the ferromagnetic layer. This dependence results in spin reorientation as the nanolayer thickness varies. The lines of first-order phase transitions and the equilibrium parameters of multidomain structures and domains of competing phases were determined. The calculated magnetic phase diagrams are used to analyze magnetic states and to construct magnetization curves.
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J. I. Martin, J. Nogues, K. Liu, J. L. Vicente, and I. K. Schuller, J. Mang. Magn. Mater. 256, 449 (2003).
R. Skomski, J. Phys.: Condens. Matter 15, R841 (2003).
S. D. Bader, Surf. Sci. 500, 172 (2002).
H. Zabel, J. Phys.: Condens. Matter 11, 9303 (1999).
E. W. Plummer, I. R. Matzdorf, A. V. Melechko, J. P. Pierce, and J. Zhang, Surf. Sci. 500, 1 (2002).
M. Takahashi, M. Tsunoda, and H. Shoji, Vacuum 59, 814 (2000).
J. Gui, H. Tang, Li-P. Wang, G. C. Rauch, Z. Boutaghou, J. Hanchi, Th. Pitchford, and P. Segar, J. Appl. Phys. 87(9), 5383 (2000).
K. E. Johnson, J. Appl. Phys. 87(9), 5365 (2000).
Th. D. Howell, P. A. McEwen, and A. Patapoutian, J. Appl. Phys. 87(9), 5371 (2000).
J. Numazawa and H. Ohshima, J. Magn. Magn. Mater. 176(1), 1 (1997).
S. V. Vonsovskiĭ, Magnetism (Nauka, Moscow 1971; Wiley, New York, 1974).
M. T. Johnson, P. J. H. Bloemen, F. J. A. den Breeder, and J. J. de Vries, Rep. Prog. Phys. 59, 1409 (1996).
P. Poulopoulos and K. Baberschke, J. Phys.: Condens. Matter 11, 9495 (1999).
W. J. M. de Jonge, P. G. H. Bloemen, and F. J. A. den Broeder, Ultrathin Magnetic Structures (Springer-Verlag, Berlin, 1994), Vol. 1.
A. N. Bogdanov, U. K. Rößsler, and K. H. Müller, J. Magn. Magn. Mater. 242–245, 594 (2002).
A. Thiaville and A. Fert, J. Magn. Magn. Mater. 113, 161 (1992).
M. Gester, C. Daboo, R. J. Hicken, S. J. Gray, A. Ercole, and J. A. C. Bland, J. Appl. Phys. 80(1), 347 (1996).
C. J. Gutierreza, J. J. Krebs, and G. A. Prinz, Appl. Phys. Lett. 61(20), 2476 (1992).
D. A. Allwood, N. Vernier, G. Xiong, M. D. Cooke, D. Atkinson, C. C. Faulkner, and R. P. Cowburn, Appl. Phys. Lett. 81(21), 4005 (2002).
A. F. Isakovic, J. Berezovsky, P. A. Crowella, L. C. Chen, D. M. Carr, B. D. Schultz, and C. J. Palmstroüm, J. Appl. Phys. 89(11), 6674 (2001).
W. Weber, R. Allenspach, and A. Bischof, Appl. Phys. Lett. 70(4), 520 (1997).
S. M. Zhou, K. Liu, and C. L. Chien, Phys. Rev. B: Condens. Matter 58, 717 (1998).
H.-W. Zhao, W. N. Wang, Y. J. Wang, W. S. Zhan, and J. Q. Xiao, J. Appl. Phys. 91(10), 6893 (2002).
Y. J. Tang, X. Zhou, X. Chen, B. Q. Liang, and W. S. Zhan, J. Appl. Phys. 88(4), 2054 (2000).
P. Blomqvist, K. M. Krishnana, and Er. Girt, J. Appl. Phys. 95(12), 8487 (2004).
T. Mewesa, H. Nembach, M. Rickart, and B. Hillebrands, J. Appl. Phys. 95(10), 5324 (2004).
T. Mewes, B. Hillebrands, and R. L. Stamps, Phys. Rev. B: Condens. Matter 68(1), 184418 (2003).
R. P. Michel, A. Chaiken, C. T. Wang, and L. E. Johnson, Phys. Rev. B: Condens. Matter 58(13), 8566 (1998).
Ch.-H. Lai, Yu.-H. Wang, Ch.-R. Chang, J.-Sh. Yang, and Y. D. Yao, Phys. Rev. B: Condens. Matter 64(1), 094420 (2001).
R. Fitzsimmons, P. Yashar, C. Leighton, I. K. Schuller, J. Nogués, C. F. Majkrzak, and A. Dura, Phys. Rev. Lett. 84(17), 3986 (2000).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Nauka, Moscow, 1992; Butterworth-Heinemann, Oxford, 1984).
A. Hubert and R. Schäfer, Magnetic Domains (Springer-Verlag, Berlin, 1998).
L. Neel, J. Phys. Radium 15, 225 (1954).
B. Stahl, E. Kankeleit, and R. Gellert, Phys. Rev. Lett. 84, 5632 (2000).
S.-K. Kirn, and J. B. Kortright, Phys. Rev. Lett. 86, 1347 (2001).
A. N. Bogdanov, and U. K. Rößsler, Phys. Rev. Lett. 87, 037203 (2001).
U. K. Rößsler, S. V. Bukhtiyarova, I. V. Zhikharev, and A. N. Bogdanov, J. Magn. Magn. Mater. 290–291, 772 (2005).
V. G. Bar’yakhtar, A. N. Bogdanov, and D. A. Yablonskiĭ, Usp. Fiz. Nauk 156(1), 47 (1988) [Sov. Phys. Usp. 31, 810 (1988)].
K. I. Belov, A. K. Zvezdin, A. M. Kadomtseva, and R. Z. Levitin, Orientational Transition in Rare-Earth Magnetic Materials (Nauka, Moscow, 1979) [in Russian].
I. S. Édel’man, Fiz. Met. Metalloved. 20(5), 683 (1965).
D. Melville, W. Khan, and S. Rinaldi, IEEE Trans. Magn. 12(6), 1012 (1976).
A. I. Mitsek, N. P. Kolmakova, and D. I. Sirota, Fiz. Met. Metalloved. 38(1), 35 (1974).
A. I. Mitsek, Phys. Status Solidi B 59, 309 (1973).
A. I. Mitsek and V. N. Pushkar’, Magnetic Order in Real Crystals (Naukova Dumka, Kiev, 1978) [in Russian].
M. I. Kaganov and A. A. Yagubov, Fiz. Met. Metalloved. 36(6), 1127 (1973).
V. G. Bar’yakhtar, A. N. Bogdanov, and D. A. Yablonskiĭ, Fiz. Tverd. Tela (Leningrad) 29(1), 116 (1987) [Sov. Phys. Solid State 29 (1), 65 (1987)].
A. N. Bogdanov, and I. Ya. Granovskiĭ, Fiz. Tverd. Tela (Leningrad) 29(10), 2913 (1987) [Sov. Phys. Solid State 29 (10), 1674 (1987)].
C.-R. Chang, and D. R. Fredkin, J. Appl. Phys. 63(8), 3435 (1988).
E. C. Stoner and E. P. Wohlfarth, Philos. Trans. R. Soc. London, Ser. A 240, 559 (1948).
E. J. Torok, H. N. Oredson, and A. L. Olson, J. Appl. Phys. 35(12), 3469 (1964).
G. Bertotti, Hysteresis in Magnetism (Academic, New York, 1998).
V. G. Bar’yakhtar, A. N. Bogdanov, and D. A. Yablonskiĭ, Fiz. Nizk. Temp. (Kiev) 12(1), 43 (1986) [Sov. J. Low Temp. Phys. 12 (1), 24 (1986)].
A. Hubert, Theorie der Domanenwande in geordneten Medien (Springer-Verlag, Heidelberg, 1974; Mir, Moscow, 1977).
C. H. Lai, Phys. Rev. B: Condens. Matter 64, 094420 (2001).
Y. T. Milleva, J. R. Cullen, and H. P. Oepen, J. Appl. Phys. 83(11), 6500 (1998).
Ch.-R. Chang, J.-Sh. Yang, J. C. A. Huang Lai, and C. H. Lai, J. Phys. Chem. Solids 62, 1737 (2001).
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Original Russian Text © I.E. Dragunov, S.V. Bukhtiyarova, I.V. Zhikharev, A.N. Bogdanov, U.K. Rößler, 2006, published in Fizika Tverdogo Tela, 2006, Vol. 48, No. 8, pp. 1504–1514.
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Dragunov, I.E., Bukhtiyarova, S.V., Zhikharev, I.V. et al. Phase transitions and multidomain states in magnetic nanostructures with competing anisotropies. Phys. Solid State 48, 1591–1601 (2006). https://doi.org/10.1134/S1063783406080270
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DOI: https://doi.org/10.1134/S1063783406080270