Critical Properties of S=1/2 XXZ Chain
Critical Properties of S=1/2 XXZ Chain
复制标题
S=1/2 XXZ 链条的关键特性
DOI：
10.1143/jpsj.55.1671
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发表时间：
1986
影响因子：
1.7
通讯作者：
K. Kubo
中科院分区：
文献类型：
--
作者：
S. Takada;K. Kubo
本文利用Trotter近似，用转移矩阵法，在低温下数值计算了S =1/2XXZ链的SxSx关联函数。面内磁化率和相关长度外推到N =∞，其中N是Trotter切片的数目。结果表明，该外推法是有效的，并使各向异性参数为-0.75≤Δ≤0.5时临界指数ν、γ和η的估计成为可能。所得的ν、γ和η满足标度关系，与Luther和Peschel的解析表达式符合得很好。
The S x S x correlation function of S =1/2 XXZ chain is numericaly obtained at low temperatures by means of the transfer matrix with use of the Trotter approximation. The inplane susceptibility and the correlation length are extrapolated to N =∞ where N is the number of the Trotter slicings. It is shown that the extrapolation works quite effectively and makes the estimation of the critical indices ν, γ and η possible for the anisotropy parameter -0.75≤Δ≤0.5. The obtained values of ν, γ and η satisfy the scaling relation and agree quite well with the analytic expression derived by Luther and Peschel.