Magnon energy gap in a four-layer ferromagnetic superlattice
Qiu Rong-Ke(邱荣科)a)b)†, Song Pan-Pan(宋攀攀)a), Zhang Zhi-Dong(张志东)b), and Guo Lian-Quan(郭连权)a)
aShenyang University of Technology, Shenyang 110023, China; b Shenyang National Laboratory for Materials Science, Institute of Metal Research and International Centre for Materials Physics, Chinese Academy of Sciences, Shenyang 110016, China
Abstract The magnon energy band in a four-layer ferromagnetic superlattice is studied by using the linear spin-wave approach and Green's function technique. It is found that three modulated energy gaps exist in the magnon energy band along $K_{x }$ direction perpendicular to the superlattice plane. The spin quantum numbers and the interlayer exchange couplings all affect the three energy gaps. The magnon energy gaps of the four-layer ferromagnetic superlattice are different from those of the three-layer one. For the four-layer ferromagnetic superlattice, the disappearance of the magnon energy gaps $\Delta \omega _{12} $, $\Delta \omega _{23} $ and $\Delta \omega _{34} $ all correlates with the symmetry of this system. The zero energy gap $\Delta \omega _{23}$ correlates with the symmetry of interlayer exchange couplings, while the vanishing of the magnon energy gaps $\Delta \omega _{12} $ and $\Delta \omega _{34} $ corresponds to a translational symmetry of $x$-direction in the lattice. When the parameters of the system deviate from these symmetries, the three energy gaps will increase.
Received: 11 April 2008
Revised: 12 May 2008
Accepted manuscript online:
PACS:
75.70.Cn
(Magnetic properties of interfaces (multilayers, superlattices, heterostructures))
(Quantized spin models, including quantum spin frustration)
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 50331030, 10674139
and 10274087), and the Natural Science Foundation of Liaoning
Province, China (Grant No 20062040).
Cite this article:
Qiu Rong-Ke(邱荣科), Song Pan-Pan(宋攀攀), Zhang Zhi-Dong(张志东), and Guo Lian-Quan(郭连权) Magnon energy gap in a four-layer ferromagnetic superlattice 2008 Chin. Phys. B 17 3894
[1]
Charge-mediated voltage modulation of magnetism in Hf0.5Zr0.5O2/Co multiferroic heterojunction Jia Chen(陈佳), Peiyue Yu(于沛玥), Lei Zhao(赵磊), Yanru Li(李彦如), Meiyin Yang(杨美音), Jing Xu(许静), Jianfeng Gao(高建峰), Weibing Liu(刘卫兵), Junfeng Li(李俊峰), Wenwu Wang(王文武), Jin Kang(康劲), Weihai Bu(卜伟海), Kai Zheng(郑凯), Bingjun Yang(杨秉君), Lei Yue(岳磊), Chao Zuo(左超), Yan Cui(崔岩), and Jun Luo(罗军). Chin. Phys. B, 2023, 32(2): 027504.
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
