Abstract
The influence of an electric field on the structural changes and related transformation of the magnetic subsystem in a BiFeO3 multiferroic material has been investigated in the framework of the phenomenological model based on the Ginzburg-Landau theory. The hysteresis dependences of the electric polarization, the counter-rotation of oxygen octahedra, the magnetization, and the antiferromagnetic vector have been obtained as a function of the electric field applied along the crystallographic directions [110] and [001] of the pseudocubic structure. The model parameters are consistent with the results of the ab initio calculations of the structural and magnetic transitions in this material. It has been shown that, in the region of the existence of a spatially modulated spin state, an abrupt change in the polarization vector leads to a stepwise transformation of the antiferromagnetic structure. Within the proposed approach, the electric-field-controlled change in the spin structure of the multiferroic material is adequately described in the range of weak and strong magnetic fields.
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M. Gajek, M. Bibes, S. Fusil, K. Bouzehouane, J. Fontcuberta, A. Barthélémy, and A. Fert, Nat. Mater. 6, 296 (2007).
J. P. Velev, C.-G. Duan, K. D. Belashcenko, S. S. Jaswal, and E. Y. Tsymbal, Phys. Rev. Lett. 98, 137201 (2007).
X. Chen, A. Hochstrat, P. Borisov, and W. Kleemann, Appl. Phys. Lett. 89 (20), 202508 (2006).
N. A. Spaldin, Magnetic Materials: Fundamentals and Applications, 2nd ed. (Cambridge University Press, Cambridge, 2010).
G. Catalan and J. F. Scott, Adv. Mater. (Weinheim) 27, 2463 (2009).
D. Lebeugle, D. Colson, A. Forget, and M. Viret, Appl. Phys. Lett. 91, 022907 (2007).
A. P. Pyatakov and A. K. Zvezdin, Phys.-Usp. 55 (6), 557 (2012).
C. A. F. Vaz and C. H. Ahn, in Ferroelectrics: Physical Effects, Ed. by M. Lallart (InTech, Rijeka, Croatia, 2011), Chap. 14, p. 329.
Z. V. Gareeva, A. F. Popkov, S. V. Soloviov, and A. K. Zvezdin, Phys. Rev. B: Condens. Matter 87 (21), 214413 (2013).
X. Ke, P. P. Zhang, S. H. Baek, J. Zarestky, W. Tian, and C. B. Eom, Phys. Rev. B: Condens. Matter 82 (13), 134448 (2010).
S. Lee, W. Ratcliff II, S.-W. Cheong, and V. Kiryukhin, Appl. Phys. Lett. 92 (19), 192906 (2008).
G. J. MacDougall, H. M. Christen, W. Siemons, M. D. Biegalski, J. L. Zarestky, S. Liang, E. Dagotto, and S. E. Nagler, Phys. Rev. B: Condens. Matter 85 (10), 100408 (2012).
S. Lee, M. T. Fernandez-Diaz, H. Kimura, Y. Noda, D.T. Aclroja, S. Lee, J. Park, V. Kiryukhin, and S.-W. Cheong, Phys. Rev. B: Condens. Matter 88 (6), 060103 (2013).
S. M. Wu, S. A. Cybart, P. Yu, M. D. Rossell, J. X. Zhang, R. Ramesh, and R. C. Dynes, Nat. Mater. 9 (9), 756 (2010).
S. Lee, T. Choi, W. Ratcliff II, R. Erwin, S.-W. Cheong, and V. Kiryukhin, Phys. Rev. B: Condens. Matter 78 (10), 100101 (2008).
W. Ratcliff II, Z. Yamani, V. Anbusathaiah, T. R. Gao, P. A. Kienzle, H. Cao, and I. Takeuchi, Phys. Rev. B: Condens. Matter 87 (14), 140405 (2013).
E. G. Maksimov, V. I. Zinenko, and N. G. Zamkova, Phys.-Usp. 47 (11), 1075 (2004).
V. I. Zinenko and M. S. Pavlovskii, Phys. Solid State 51 (7), 1404 (2009).
M. S. Pavlovskii, Candidate’s Dissertation (Kirensky Institute of Physics, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, 2009).
J. B. Neaton, C. Ederer, U. V. Waghmare, N. A. Spaldin, and K. M. Rabe, Phys. Rev. B: Condens. Matter 71 (1), 014113 (2005).
S. Lisenkov, D. Rahmedov, and L. Bellaiche, Phys. Rev. Lett. 103 (4), 047204 (2009).
M. J. Haun, E. Furman, S. J. Jang, H. A. McKinstry, and L. E. Cross, J. Appl. Phys. 62 (8), 3331 (1987).
A. J. Bell, J. Appl. Phys. 89 (7), 3907 (2001).
V. B. Shirokov, Yu. I. Yuzyuk, and V. V. Lemanov, Phys. Solid State 51 (5), 1025 (2009).
J. C. Slonczewski and H. Thomas, Phys. Rev. B: Solid State 1 (9), 3599 (1970).
A. K. Zvezdin and A. A. Mukhin, JETP Lett. 89 (7), 328 (2009).
A. M. Kadomtseva, Yu. F. Popov, G. P. Vorob’ev, and A. K. Zvezdin, Physica B (Amsterdam) 211 (1), 327 (1995).
D. Sando, A. Agbelele, D. Rahmedov, J. Liu, P. Rovillain, C. Toulouse, I. C. Infante, A. P. Pyatakov, S. Fusil, E. Jacquet, C. Carrétéro, C. Deranlot, S. Lisenkov, D. Wang, J.-M. Le Breton, M. Cazayous, A. Sacuto, J. Juraszek, A.K. Zvezdin, L. Bellaiche, B. Dkhil, A. Barthélémy, and M. Bibes, Nat. Mater. 12 (7), 641 (2013).
P. Rovillain, R. de Sousa, Y. Gallais, A. Sacuto, M. A. Méasson, D. Colson, A. Forget, M. Bibes, A. Barthélémy, and M. Cazayous, Nat. Mater. 9 (12), 975 (2010).
F. Kubel and H. Schmid, Acta Crystallogr., Sect. B: Struct. Sci. 46 (6), 498 (1990).
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Original Russian Text © N.E. Kulagin, A.F. Popkov, S.V. Solov’ev, K.S. Sukmanova, A.K. Zvezdin, 2015, published in Fizika Tverdogo Tela, 2015, Vol. 57, No. 5, pp. 917–925.
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Kulagin, N.E., Popkov, A.F., Solov’ev, S.V. et al. Electric-field-induced structural and magnetic transformations in BiFeO3 multiferroics. Phys. Solid State 57, 933–942 (2015). https://doi.org/10.1134/S1063783415050170
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DOI: https://doi.org/10.1134/S1063783415050170