阻尼效应对二维磁振子晶体带隙结构的影响
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摘要
基于自旋密度序参量发展了含阻尼效应的磁振子晶体带结构计算的平面波展开法,采用该方法数值计算了铁/镍构成的二维磁振子晶体带结构,讨论了阻尼效应对磁振子晶体带隙结构的影响问题.计算结果表明,考虑阻尼效应后,自旋波在磁振子晶体中的色散关系将出现复带结构,自旋波沿不同方向传播表现出明显的各向异性.
On the basis of spin density order parameter,aplane wave expansion method was developed for the calculation of magnonic crystal band structure including damping effect.Band structures of the two dimensional magnonic crystal composed of Fe rods squarely arranged in Ni matrix were calculated by using this method,and the effects of damping on the band structures were discussed.The numerical results show that the complex band structures can be generated in the consideration of damping effects.The propagating of spin waves shows distinct anisotropy along the different directions.
On the basis of spin density order parameter,aplane wave expansion method was developed for the calculation of magnonic crystal band structure including damping effect.Band structures of the two dimensional magnonic crystal composed of Fe rods squarely arranged in Ni matrix were calculated by using this method,and the effects of damping on the band structures were discussed.The numerical results show that the complex band structures can be generated in the consideration of damping effects.The propagating of spin waves shows distinct anisotropy along the different directions.
引文
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[2]Cao Yongjun,Yun Guohong,Liang Xixia,et al.Band structures of two-dimensional magnonic crystals with different shapes and arrangements of scatterers[J].J Phys D:Appl Phys,2010,43:305005.
[3]Yang Hui,Yun Guohong,Cao Yongjun.Point defect states of exchange spin waves in all-ferromagnetic two-dimensional magnonic crystals[J].J Appl Phys,2012,111:013908.
[4]杜晓东,王立勇,曹永军.体积填充率对二维磁振子晶体带结构的影响[J].内蒙古师范大学学报:自然科学汉文版,2011,40(3):254-257.
[5]王利,曹永军.二维磁振子晶体带结构的优化[J].内蒙古师范大学学报:自然科学汉文版,2013,42(2):157-161.
[6]Neusser S,Duerr G,Bauer H G,et al.Anisotropic propagation and damping of spin waves in a nanopatterned antidote lattice[J].Physical Review Letters,2010,105:067208.
[7]Kruglyak V V,Kuchko A N.Effect of the intralayer inhomogeneity in the distribution of the parameter of magnetic damping on the propagation of spin waves in multilayers[J].The Physics of metals and metallography,2002,93(6):511-514.
[8]曹永军,云国宏.平面波法计算二维磁振子晶体带结构[J].物理学报,2011,60:77502.