Dimerization and Solitons in One-Dimensional XY-Z Antiferromagnets
Dimerization and Solitons in One-Dimensional XY-Z Antiferromagnets
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一维 XY-Z 反铁磁体中的二聚化和孤子
DOI：
10.1143/jpsj.50.2489
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发表时间：
1981
影响因子：
1.7
通讯作者：
H. Fukuyama
中科院分区：
文献类型：
--
作者：
T. Nakano;H. Fukuyama
我们对一维反铁磁海森堡自旋-佩尔斯系统中孤子的晶格畸变和形成能量的计算进行了改进，并扩展到X - Y - Z模型的情况。利用Jordan-Wigner变换引入的费米子的玻色子表示，用相哈密顿量表示自旋自由度。对相位哈密顿量中的参数进行了调整，使自旋波速度和相关函数指数与精确结果一致。在没有晶格畸变的情况下，这种调整也显示出精确的自旋磁化率。基于X - Y - Z模型的相位哈密顿量，详细研究了存在晶格畸变时的局域激发（孤子），包括宽度、形成能量和磁场依赖性。
Our previous calculations of the lattice distortion and the formation energy of a soliton in the one-dimensional antiferromagnetic Heisenberg spin-Peierls systems are refined and extended to the case of X Y - Z model. The spin degree of freedom are represented by the phase Hamiltonian with the help of boson representation of fermions introduced by the Jordan-Wigner transformation. Parameters in this phase Hamiltonian are adjusted so that spin wave velocity and exponent of correlation function agree with exact results. This adjustment is shown to give also exact spin susceptibility in the absence of lattice distortion. Based on this phase Hamiltonian of the X Y - Z model localized excitations (solitons) in the presence of lattice distortions are examined in details including the width, the formation energy and the magnetic field dependence.