Criticality in the two-dimensional random-bond Ising model
Criticality in the two-dimensional random-bond Ising model
复制标题
二维随机键伊辛模型中的临界性
DOI：
10.1103/physrevb.55.1025
复制
发表时间：
1996
影响因子：
3.7
通讯作者：
M. Fisher
中科院分区：
文献类型：
--
作者：
Sora Cho;M. Fisher
二维无规键伊辛模型在铁磁-顺磁相界上存在一个新的多临界点。这种随机相变是在有限温度和无序强度下发生的2D临界点的最简单的例子之一。我们研究了相关的临界特性，通过映射到网络模型的随机二维伊辛模型。该模型非常类似于量子霍尔平台跃迁的网络模型，但具有不同的对称性。数值转移矩阵计算使我们能够获得的随机伊辛相变的临界指数的估计。这些数值与最近从高温系列中获得的估计值一致。
The two-dimensional (2D) random-bond Ising model has a novel multicritical point on the ferromagnetic to paramagnetic phase boundary. This random phase transition is one of the simplest examples of a 2D critical point occurring at both finite temperatures and disorder strength. We study the associated critical properties, by mapping the random 2D Ising model onto a network model. The model closely resembles network models of quantum Hall plateau transitions, but has different symmetries. Numerical transfer matrix calculations enable us to obtain estimates for the critical exponents at the random Ising phase transition. The values are consistent with recent estimates obtained from high-temperature series.