二维嵌套复式晶格磁振子晶体带结构的计算
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摘要
基于基元替代法的思想,提出一种复式晶格结构的磁振子晶体模型,该模型用小尺寸的铁圆柱阵列替代简单正方晶格中的每个单圆柱基元,构成二维嵌套复式正方周期结构的磁振子晶体,并导出这种磁振子晶体的结构因子表达式.以氧化铕基底材料为例,通过数值计算自旋波在晶体中的带结构,研究了带隙宽随体积填充的变化行为.结果表明,嵌套复式晶格磁振子晶体在体积填充率不变的情况下,产生的低频带隙比简单晶格磁振子晶体的带隙要宽,从而达到优化和调节带隙结构的目的.
Based on the idea of primitive cell substitution,a model of magnonic crystals with complex lattice is proposed.A two-dimensional magnonic crystal with nesting complex square lattice is fabricated by using the array of small Fe columns to replace each single Fe column in simple lattice.The structure factor of the magnonic crystals with nesting complex lattice is deduced,taking EuO matrix for an example,the band structures of spin waves in magnonic crystals are numerically calculated and the behaviour of the width of gaps changing as the filling fraction of volume is studied and compared with that of the simple lattice.The results show that the low frequency band gap produced by the nesting complex lattice magnonic crystals is much wider than that of the simple lattice under the certain volume fill rate,so the purpose of band gap optimization can be achieved by the way of nesting complex lattice.
Based on the idea of primitive cell substitution,a model of magnonic crystals with complex lattice is proposed.A two-dimensional magnonic crystal with nesting complex square lattice is fabricated by using the array of small Fe columns to replace each single Fe column in simple lattice.The structure factor of the magnonic crystals with nesting complex lattice is deduced,taking EuO matrix for an example,the band structures of spin waves in magnonic crystals are numerically calculated and the behaviour of the width of gaps changing as the filling fraction of volume is studied and compared with that of the simple lattice.The results show that the low frequency band gap produced by the nesting complex lattice magnonic crystals is much wider than that of the simple lattice under the certain volume fill rate,so the purpose of band gap optimization can be achieved by the way of nesting complex lattice.
引文
[1]Hu J G,Zhang J,Jing S Y.Study on the band gaps of 2dnesting complex structure phononic crystal[J].Journal of Synthetic Crystais,2009,38:1160-1164.
[2]Hu J G,Zhang J,Jing S Y.Study on band gaps of nested complex triangular lattice phononic crystal of solid/air type[J].Journal of Vibration and Shock,2009,28:121-123.
[3]刘艳玲,刘文静,包佳美,等.二维复式晶格磁振子晶体的带隙结构[J].物理学报,2016,65(15):157501.
[4]曹永军,云国宏,那日苏.平面波展开法计算二维磁振子晶体带结构[J].物理学报,2011,60(7):077502.
[5]Wang Z K,Zhang V L,Lim H S,et al.Observation of frequency band gaps in a one-dimensional nanostructured magnonic crystal[J].Applied Physics Letter,2009,94(8):083112.
[6]Vasseur J O,Dobrzynski L,Djafari-Rouhani B.Magnon band structure of periodic composites[J].Phys Rev B,1996,54:1043-1049.
[7]杜晓东,王立勇,曹永军.体积填充率对二维磁振子晶体带隙结构的影响[J].内蒙古师范大学学报:自然科学汉文版,2011,40(3):254-257.
[2]Hu J G,Zhang J,Jing S Y.Study on band gaps of nested complex triangular lattice phononic crystal of solid/air type[J].Journal of Vibration and Shock,2009,28:121-123.
[3]刘艳玲,刘文静,包佳美,等.二维复式晶格磁振子晶体的带隙结构[J].物理学报,2016,65(15):157501.
[4]曹永军,云国宏,那日苏.平面波展开法计算二维磁振子晶体带结构[J].物理学报,2011,60(7):077502.
[5]Wang Z K,Zhang V L,Lim H S,et al.Observation of frequency band gaps in a one-dimensional nanostructured magnonic crystal[J].Applied Physics Letter,2009,94(8):083112.
[6]Vasseur J O,Dobrzynski L,Djafari-Rouhani B.Magnon band structure of periodic composites[J].Phys Rev B,1996,54:1043-1049.
[7]杜晓东,王立勇,曹永军.体积填充率对二维磁振子晶体带隙结构的影响[J].内蒙古师范大学学报:自然科学汉文版,2011,40(3):254-257.