Phase Diagram and Critical Exponents of the ±J Ising Model in Finite Dimensions by Monte Carlo Renormalization Group
Phase Diagram and Critical Exponents of the ±J Ising Model in Finite Dimensions by Monte Carlo Renormalization Group
复制标题
蒙特卡罗重正化群有限维 ±J Ising 模型的相图和临界指数
DOI：
10.1143/jpsj.56.1568
复制
发表时间：
1987
影响因子：
1.7
通讯作者：
H. Nishimori
中科院分区：
文献类型：
--
作者：
Y. Ozeki;H. Nishimori
我们对铁磁和反铁磁键权重不对称的简单立方晶格和正方晶格上的± J-Ising模型进行了大规模的数值模拟。用MonteCarlo重整化群方法计算了铁磁相和顺磁相的相界沿着不同点的Tc、γ/ν、β/ν和ν，其中包括三临界点。所得到的Tc值以及由此得到的简单立方晶格和正方晶格的相图比迄今所估计的要精确得多。在简单立方晶格中，我们发现的可能性，即铁磁临界指数的普遍性持有沿着临界线，但在三临界点的证据，而弱的普遍性持有，即使在三临界点。弱普适性似乎在正方形格子中也成立。
We have performed large-scale numerical simulations for the ± J Ising model on the simple cubic and the square lattices with asymmetric weight of ferromagnetic and antiferromagnetic bonds. The Monte Carlo renormalization group method is used to estimate T c , γ/ν, β/ν and ν at various points along the phase boundary between ferromagnetic and paramagnetic phases including the tricritical point. The obtained values of T c and the resulting phase diagrams of the simple cubic and the square lattices are much more accurate than those estimated so far. In the simple cubic lattice, we find evidence for the possibility that universality of the ferromagnetic critical exponents holds along the critical line except at the tricritical point, while weak universality holds even at the tricritical point. Weak universality seems to hold also in the square lattice.