Correlation amplitudes for the spin- 1 2 XXZ chain in a magnetic field
Correlation amplitudes for the spin- 1 2 XXZ chain in a magnetic field
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磁场中自旋 1 2 XXZ 链的相关振幅
DOI：
10.1103/physrevb.69.064427
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发表时间：
2003
影响因子：
3.7
通讯作者：
A. Furusaki
中科院分区：
文献类型：
--
作者：
T. Hikihara;A. Furusaki
本文给出了磁场作用下一维自旋1/2XXZ模型中两自旋和四自旋关联函数的首项和主要次首项关联振幅的精确数值估计，这些数据是通过将用密度矩阵重整化群方法数值计算的关联函数拟合到低能有效理论中相应的关联函数得到的.为此，我们发展了开边界条件下自旋链的阿贝尔玻色化方法。我们使用相关振幅的数值数据来定量地估计由横向交错场和交换各向异性引起的自旋带隙。
We present accurate numerical estimates for the correlation amplitudes of leading and main subleading terms of the two- and four-spin correlation functions in the one-dimensional spin-½ XXZ model under a magnetic field.These data are obtained by fitting the correlation functions, computed numerically with the density-matrix renormalization-group method, to the corresponding correlation functions in the low-energy effective theory. For this purpose we have developed the Abelian bosonization approach to the spin chain under the open-boundary conditions. We use the numerical data of the correlation amplitudes to quantitatively estimate spin gaps induced by a transverse staggered field and by exchange anisotropy.