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

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

›› 2015, Vol. 24 ›› Issue (3): 37510-037510.doi: 10.1088/1674-1056/24/3/037510

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

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

刘宇, 翟良君, 王怀玉

Department of Physics, Tsinghua University, Beijing 100084, China

收稿日期:2014-07-12 修回日期:2014-10-21 出版日期:2015-03-05 发布日期:2015-03-05
基金资助:
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).

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

Liu Yu (刘宇), Zhai Liang-Jun (翟良君), Wang Huai-Yu (王怀玉)

Department of Physics, Tsinghua University, Beijing 100084, China

Received:2014-07-12 Revised:2014-10-21 Online:2015-03-05 Published:2015-03-05
Contact: Wang Huai-Yu E-mail:wanghuaiyu@mail.tsinghua.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: multiferroic materials, mutual control mechanism, ferromagnetic and ferroelectric hysteresis loops, Green', s function

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.

Key words: multiferroic materials, mutual control mechanism, ferromagnetic and ferroelectric hysteresis loops, Green's function

中图分类号: (Magnetoelectric effects, multiferroics)

75.85.+t

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)

刘宇, 翟良君, 王怀玉. Theoretical study of mutual control mechanism between magnetization and polarization in multiferroic materials[J]. , 2015, 24(3): 37510-037510.

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[J]. Chin. Phys. B, 2015, 24(3): 37510-037510.

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

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

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