用坐标空间重正化群(PSRG)方法求解二维正方格子铁磁系统的临界指数

本文采用坐标空间重正化群方法(PSRG),对二维正方形点阵最近邻伊辛模型铁磁系统,求解了五个自旋组成块体的临界指数,在块体哈密顿量中保留到的量级。将本文结果与伊辛模型严格计算的理论值、各种临界指数的实验值、以及二维三角点阵三个自旋组成块体的临界指数计算值相比较,可以看到,本文的计算结果均比三角点阵三自旋组成块体的计算值有所改进。

The Calculation of Critical Exponents of the Two-dimensional Square Lattice Ferromagnetic System Using the Method of PSRG

Using the method of Position Space Renormalization Group(PSRG), this paper has found the critical exponents for five spin blocks on a square lattice for the two-dimensional nearest-neithbour Ising model ferromagnetic system, with the terms in the block Hamiltonian retained to order . We compare the results of this paper with the results exactly calculated for the ising model, and with the experimental results, and the results calculated for the three spin blocks on a triangular lattice. It is evident that all the values of the critical exponents obtained from this paper are more exact than the values obtained from the three spin block on a triangular lattice.