Theoretical study of mutual control mechanism between magnetization and polarization in multiferroic materials

doi:10.1088/1674-1056/24/3/037510

Abstract The mutual control mechanism between magnetization and polarization in multiferroic materials is studied. The system contains a ferromagnetic sublattice and a ferroelectric sublattice. To describe the magneto-electric coupling, we propose a linear coupling Hamiltonian between ferromagnetism and ferroelectricity without microscopic derivation. This coupling enables one to retrieve the hysteresis loops measured experimentally. The thermodynamic properties of the system are calculated, such as the temperature dependences of the magnetization, polarization, internal energy and free energy. The ferromagnetic and ferroelectric hysteresis loops driven by either a magnetic or an electric field are calculated, and the magnetic spin and pseudo-spin are always flipped synchronously under the external magnetic and electric field. Our theoretical results are in agreement with the experiments.

Keywords: multiferroic materials mutual control mechanism ferromagnetic and ferroelectric hysteresis loops Green's function

Received: 12 July 2014
Revised: 21 October 2014
Accepted manuscript online:

PACS:	75.85.+t	(Magnetoelectric effects, multiferroics)
	75.40.Cx	(Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.))
	75.80.+q	(Magnetomechanical effects, magnetostriction)
	77.80.-e	(Ferroelectricity and antiferroelectricity)

Fund: Project supported by the National Basic Research Program of China (Grant No. 2012CB927402) and the National Natural Science Foundation of China (Grant Nos. 61275028 and 11074145).

Corresponding Authors: Wang Huai-Yu
E-mail: wanghuaiyu@mail.tsinghua.edu.cn

Cite this article:

Liu Yu (刘宇), Zhai Liang-Jun (翟良君), Wang Huai-Yu (王怀玉) Theoretical study of mutual control mechanism between magnetization and polarization in multiferroic materials 2015 Chin. Phys. B 24 037510

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Theoretical study of mutual control mechanism between magnetization and polarization in multiferroic materials

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