Correlation amplitude for the XXZ spin chain in the disordered regime
Correlation amplitude for the XXZ spin chain in the disordered regime
复制标题
无序状态下 XXZ 自旋链的相关幅度
DOI：
10.1103/physrevb.59.11163
复制
发表时间：
1998
影响因子：
3.7
通讯作者：
S. Lukyanov
中科院分区：
文献类型：
--
作者：
S. Lukyanov
k11 z 21！#，~1！其中s k，s k和s k是与站点k相关的泡利矩阵。该模型的能谱可以通过Bethe anomaly技术来研究，例如，参考文献1进行审查！相关函数的精确计算是一个非常具有挑战性的问题。2，3在无序区21<D，1，J.0，~2！链的连续极限~1！用简单的共形场论模型--高斯模型来描述！并通过Luther-Peschel玻色化过程对关联函数进行了定性分析。4、替代J！2J，D！2D变换方程~1！统一等价模型。特别地，具有J.0，D521的链与SU~2！不变反铁磁自旋链最简单的零温等时振荡器具有以下主导行为：4 ^s k s k1 n x &5Fn 2 h 1.
k11 z 21!#, ~1! where s k , s k , and s k are the Pauli matrices associated with the site k. The energy spectrum of the model can be studied by means of the Bethe ansatz technique ~see, e.g., Ref. 1 for a review!. An exact calculation of correlation functions is a much challenging problem. 2,3 In the disordered regime 21<D,1, J.0, ~2! the continuous limit of the chain ~1! is described by the simple conformal field theory model ~the Gaussian model! and the qualitative analysis of the correlation functions are obtained by the Luther-Peschel bosonization procedure. 4 @The substitution J!2J, D!2D transform Eq. ~1! to the unitary equivalent model. In particular, the chain with J .0, D521 is unitary equivalent to the SU~2! invariant an- tiferromagnetic spin chain.# The simplest zero-temperature, equal-time correlators have the following leading behavior: 4 ^s k s k1n x &5Fn 2h 1...,