Surface magnetization and surface correlations in aperiodic Ising models
Surface magnetization and surface correlations in aperiodic Ising models
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非周期伊辛模型中的表面磁化强度和表面相关性
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
P. Lajkó
中科院分区：
文献类型：
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作者：
F. Iglói;P. Lajkó
我们考虑了在层间耦合遵循非周期序列的方形晶格上对角分层Ising模型的表面临界行为。利用对角传递矩阵法对表面磁化强度进行了简单的解析计算，并利用星三角变换的递推方法对表面自旋-自旋相关系数进行了数值计算。根据相应的相关-不相关准则，找到了不同非周期Ising模型的表面临界行为。对于边缘序列，临界指数随非周期强度连续变化，系统在临界点处一般遵循各向异性尺度。
We consider the surface critical behaviour of diagonally layered Ising models on the square lattice where the inter-layer couplings follow some aperiodic sequence. The surface magnetization is analytically evaluated from a simple formula derived by the diagonal transfer matrix method, while the surface spin - spin correlations are obtained numerically by a recursion method, based on the star - triangle transformation. The surface critical behaviour of different aperiodic Ising models is found in accordance with the corresponding relevance - irrelevance criterion. For marginal sequences the critical exponents are continuously varying with the strength of aperiodicity and generally the systems follow anisotropic scaling at the critical point.