Spin wave resonance frequency in bilayer ferromagnetic films with the biquadratic exchange interaction

doi:10.1088/1674-1056/ad50bc

中国物理B ›› 2024, Vol. 33 ›› Issue (9): 97601-097601.doi: 10.1088/1674-1056/ad50bc

Spin wave resonance frequency in bilayer ferromagnetic films with the biquadratic exchange interaction

Xiaojie Zhang(张晓洁)¹, Yuting Wang(王雨汀)¹, Yanqiu Chang(常艳秋)¹, Huan Wang(王焕)^2,†, Jianhong Rong(荣建红)^1,‡, and Guohong Yun(云国宏)^1,3

1 Inner Mongolia Key Laboratory of Nanoscience and Nanotechnology and School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China;
2 College of Science, Inner Mongolia Agricultural University, Hohhot 010018, China;
3 College of Physics and Electronic Information, Inner Mongolia Normal University, Hohhot 010022, China

收稿日期:2023-12-26 修回日期:2024-04-27 接受日期:2024-05-28 出版日期:2024-08-15 发布日期:2024-08-15
通讯作者: Huan Wang, Jianhong Rong E-mail:wanghuan429@163.com;jhrong502@163.com
基金资助:
Project supported by the Natural Science Foundation of Inner Mongolia of China (Grant No. 2019MS01021), the Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region, China (Grant No. NJZY21454), and the Theoretical Physics Discipline Development and Communication Platform of Inner Mongolia University (Grant No. 12147216).

Spin wave resonance frequency in bilayer ferromagnetic films with the biquadratic exchange interaction

Xiaojie Zhang(张晓洁)¹, Yuting Wang(王雨汀)¹, Yanqiu Chang(常艳秋)¹, Huan Wang(王焕)^2,†, Jianhong Rong(荣建红)^1,‡, and Guohong Yun(云国宏)^1,3

1 Inner Mongolia Key Laboratory of Nanoscience and Nanotechnology and School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China;
2 College of Science, Inner Mongolia Agricultural University, Hohhot 010018, China;
3 College of Physics and Electronic Information, Inner Mongolia Normal University, Hohhot 010022, China

Received:2023-12-26 Revised:2024-04-27 Accepted:2024-05-28 Online:2024-08-15 Published:2024-08-15
Contact: Huan Wang, Jianhong Rong E-mail:wanghuan429@163.com;jhrong502@163.com
Supported by:
Project supported by the Natural Science Foundation of Inner Mongolia of China (Grant No. 2019MS01021), the Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region, China (Grant No. NJZY21454), and the Theoretical Physics Discipline Development and Communication Platform of Inner Mongolia University (Grant No. 12147216).

摘要/Abstract

摘要： The dependences of spin wave resonance (SWR) frequency on the surface anisotropy field, interface exchange coupling, symmetry, biquadratic exchange (BQE) interaction, film thickness, and the external magnetic field in bilayer ferromagnetic films are theoretically analyzed by employing the linear spin wave approximation and Green's function method. A remarkable increase of SWR frequency, except for energetically lower two modes, can be obtained in our model that takes the BQE interaction into account. Again, the effect of the external magnetic field on SWR frequency can be increased by increasing the biquadratic to interlayer exchange ratio. It has been identified that the BQE interaction is of utmost importance in improving the SWR frequency of the bilayer ferromagnetic films. In addition, for bilayer ferromagnetic films, the frequency gap between the energetically highest mode and lowest mode is found to increase by increasing the biquadratic to interlayer exchange ratio and film thickness and destroying the symmetry of the system. These results can be used to improve the understanding of magnetic properties in bilayer ferromagnetic films and thus may have prominent implications for future magnetic devices.

关键词: spin wave resonance frequency, biquadratic exchange interaction, interface exchange coupling, surface anisotropy

Abstract: The dependences of spin wave resonance (SWR) frequency on the surface anisotropy field, interface exchange coupling, symmetry, biquadratic exchange (BQE) interaction, film thickness, and the external magnetic field in bilayer ferromagnetic films are theoretically analyzed by employing the linear spin wave approximation and Green's function method. A remarkable increase of SWR frequency, except for energetically lower two modes, can be obtained in our model that takes the BQE interaction into account. Again, the effect of the external magnetic field on SWR frequency can be increased by increasing the biquadratic to interlayer exchange ratio. It has been identified that the BQE interaction is of utmost importance in improving the SWR frequency of the bilayer ferromagnetic films. In addition, for bilayer ferromagnetic films, the frequency gap between the energetically highest mode and lowest mode is found to increase by increasing the biquadratic to interlayer exchange ratio and film thickness and destroying the symmetry of the system. These results can be used to improve the understanding of magnetic properties in bilayer ferromagnetic films and thus may have prominent implications for future magnetic devices.

Key words: spin wave resonance frequency, biquadratic exchange interaction, interface exchange coupling, surface anisotropy

中图分类号: (Ferromagnetic, antiferromagnetic, and ferrimagnetic resonances; spin-wave resonance)

76.50.+g

75.70.-i (Magnetic properties of thin films, surfaces, and interfaces) 75.70.Cn (Magnetic properties of interfaces (multilayers, superlattices, heterostructures))

Xiaojie Zhang(张晓洁), Yuting Wang(王雨汀), Yanqiu Chang(常艳秋), Huan Wang(王焕), Jianhong Rong(荣建红), and Guohong Yun(云国宏). Spin wave resonance frequency in bilayer ferromagnetic films with the biquadratic exchange interaction[J]. 中国物理B, 2024, 33(9): 97601-097601.

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Spin wave resonance frequency in bilayer ferromagnetic films with the biquadratic exchange interaction

Spin wave resonance frequency in bilayer ferromagnetic films with the biquadratic exchange interaction

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