各向异性海森伯自旋链中的高阶孤子

Higher-order solitons in an anisotropic Heisenberg spin chain

在Holstain-Primakoff表象中研究了各向异性海森伯自旋链模型.在半经典近似条件下,应用相干态求出了明孤子和暗孤子的精确解析解.结果表明:这些解可以用第一类和第三类椭圆积分来表示.内容丰富的暗孤子解是本论文的创新之处.

An anisotropic Heisenberg ferromagnetic spin chain model is studied by using Holstain-Primakoff representation.In the semiclassical limit, the exact solutions for bright and dark solitons are found by using the coherent-state method combined with the Holstein-Primakoff bosonic representation of spin operators. These results show that the solutions can be expressed in terms of the elliptic integrals in different parameter regions. Some solutions for dark solitons are the innovation points in this paper.