线性磁场作用下一维铁磁链的孤子激发

Solitons in one-dimensional Heisenberg ferromagnetic chain with linear magnetic field

  • 摘要: 研究了在线性磁场作用下,一维铁磁链的两种孤子激发.分别通过导出了两个不同的修正的非线性薛定谔方程,可以得到各自所激发的孤子解.两种孤子激发均结果表明,在增加了线性磁场后,孤子的外形与有效质量并没有受到它的影响,但孤子的运动模式却改变了从一般的匀速运动变成了匀变速运动.而且在线性磁场作用下孤子的能量出现了定域分布,随位置的不同而不同.由此发现,引入线性磁场的普遍意义在于使得一维铁磁链中的孤子激发和移动可受到更好的控制,又不破坏孤子的稳定性.

     

    Abstract: Two kinds of soliton excitations in 1D ferromagnetic chain with linear magnetic field are considered. The results, two soliton solutions derived from two different modified NLS equations, all show that linear term of magnetic field has no influence on the shape and effective mass of each soliton, but changes the motional mode from uniformly motion to uniformly variable motion. Moreover, the energy of soliton appears the localized distribution after introducing the linear magnetic field. To introduce the linear magnetic can makes the excitation and motion of soliton more controllable without any bad damage in 1D ferromagnetic chain.

     

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