中国物理B ›› 2024, Vol. 33 ›› Issue (9): 97505-097505.doi: 10.1088/1674-1056/ad5a76

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Simulation of magnetization process and Faraday effect of magnetic bilayer films

Sheng Gao(高升)1, An Du(杜安)2,3,†, Lei Zhang(张磊)4, Tian-Guang Li(李天广)5,6, and Da-Cheng Ma(马大成)2   

  1. 1 Department of Basic and General Studies, Shenyang Institute of Science and Technology, Shenyang 110167, China;
    2 College of Science, Northeastern University, Shenyang 110819, China;
    3 National Frontiers Science Center for Industrial Intelligence and Systems Optimization, Northeastern University, Shenyang 110819, China;
    4 Office of Academic Research, Shenyang Institute of Science and Technology, Shenyang 110167, China;
    5 State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China;
    6 Institutes for Robotics and Intelligent Manufacturing, Chinese Academy of Sciences, Shenyang 110016, China
  • 收稿日期:2024-03-11 修回日期:2024-06-18 接受日期:2024-06-21 发布日期:2024-08-15
  • 通讯作者: An Du E-mail:duan@mail.neu.edu.cn
  • 基金资助:
    The research was funded by the Research Program of Shenyang Institute of Science and Technology (Grant No. ZD- 2024-05).

Simulation of magnetization process and Faraday effect of magnetic bilayer films

Sheng Gao(高升)1, An Du(杜安)2,3,†, Lei Zhang(张磊)4, Tian-Guang Li(李天广)5,6, and Da-Cheng Ma(马大成)2   

  1. 1 Department of Basic and General Studies, Shenyang Institute of Science and Technology, Shenyang 110167, China;
    2 College of Science, Northeastern University, Shenyang 110819, China;
    3 National Frontiers Science Center for Industrial Intelligence and Systems Optimization, Northeastern University, Shenyang 110819, China;
    4 Office of Academic Research, Shenyang Institute of Science and Technology, Shenyang 110167, China;
    5 State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China;
    6 Institutes for Robotics and Intelligent Manufacturing, Chinese Academy of Sciences, Shenyang 110016, China
  • Received:2024-03-11 Revised:2024-06-18 Accepted:2024-06-21 Published:2024-08-15
  • Contact: An Du E-mail:duan@mail.neu.edu.cn
  • Supported by:
    The research was funded by the Research Program of Shenyang Institute of Science and Technology (Grant No. ZD- 2024-05).

摘要: We described ferromagnetic film and bilayer films composed of two ferromagnetic layers coupled through antiferromagnetic interfacial interaction by classical Heisenberg model and simulated their magnetization state, magnetic permeability, and Faraday effect at zero and finite temperature by using the Landau-Lifshitz-Gilbert (LLG) equation. The results indicate that in a microwave field with positive circular polarization, the ferromagnetic film has one resonance peak while the bilayer film has two resonance peaks. However, the resonance peak disappears in ferromagnetic film, and only one resonance peak emerges in bilayer film in the negative circularly polarized microwave field. When the microwave field's frequency exceeds the film's resonance frequency, the Faraday rotation angle of the ferromagnetic film is the greatest, and it decreases when the thickness of the two halves of the bilayer is reduced. When the microwave field's frequency remains constant, the Faraday rotation angle fluctuates with temperature in the same manner as spontaneous magnetization does. When a DC magnetic field is applied in the direction of the anisotropic axis of the film, the Faraday rotation angle varies with the DC magnetic field and shows a similar shape of the hysteresis loop.

关键词: magnetic bilayer films, magnetic permeability, hysteresis loop, Faraday effect, Landau-Lifshitz-Gilbert(LLG) equation

Abstract: We described ferromagnetic film and bilayer films composed of two ferromagnetic layers coupled through antiferromagnetic interfacial interaction by classical Heisenberg model and simulated their magnetization state, magnetic permeability, and Faraday effect at zero and finite temperature by using the Landau-Lifshitz-Gilbert (LLG) equation. The results indicate that in a microwave field with positive circular polarization, the ferromagnetic film has one resonance peak while the bilayer film has two resonance peaks. However, the resonance peak disappears in ferromagnetic film, and only one resonance peak emerges in bilayer film in the negative circularly polarized microwave field. When the microwave field's frequency exceeds the film's resonance frequency, the Faraday rotation angle of the ferromagnetic film is the greatest, and it decreases when the thickness of the two halves of the bilayer is reduced. When the microwave field's frequency remains constant, the Faraday rotation angle fluctuates with temperature in the same manner as spontaneous magnetization does. When a DC magnetic field is applied in the direction of the anisotropic axis of the film, the Faraday rotation angle varies with the DC magnetic field and shows a similar shape of the hysteresis loop.

Key words: magnetic bilayer films, magnetic permeability, hysteresis loop, Faraday effect, Landau-Lifshitz-Gilbert(LLG) equation

中图分类号:  (Magnetic properties of interfaces (multilayers, superlattices, heterostructures))

  • 75.70.Cn
75.75.-c (Magnetic properties of nanostructures) 78.20.Ls (Magneto-optical effects) 77.80.Dj (Domain structure; hysteresis)