The two-point correlation function in the six-vertex model
The two-point correlation function in the six-vertex model
复制标题
六顶点模型中的两点相关函数
DOI：
--
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
N. Reshetikhin
中科院分区：
文献类型：
--
作者：
P. Belov;N. Reshetikhin
数值研究了具有畴壁边界条件的六顶点模型中高度函数的两点关联函数。用马尔可夫链蒙特-卡罗算法计算相关函数和高度函数。特别注意的是自由费米子点（Δ = 0），在热力学极限下的相关函数得到解析。自由费米子点的精确结果和数值结果的良好一致性使我们能够将计算扩展到无序（|Δ| < 1）相位，并监视那里的相关函数的类递归行为。对于反铁电（Δ <-1）相，观察到相关函数的指数下降。
We study numerically the two-point correlation functions of height functions in the six-vertex model with domain wall boundary conditions. The correlation functions and the height functions are computed by the Markov chain Monte-Carlo algorithm. Particular attention is paid to the free fermionic point (Δ = 0), for which the correlation functions are obtained analytically in the thermodynamic limit. A good agreement of the exact and numerical results for the free fermionic point allows us to extend calculations to the disordered (|Δ| < 1) phase and to monitor the logarithm-like behavior of correlation functions there. For the antiferroelectric (Δ < −1) phase, the exponential decrease of correlation functions is observed.