论文标题
Haake-Lewenstein-Wilkens对旋转玻璃的方法进行了重新审视
Haake-Lewenstein-Wilkens approach to spin-glasses revisited
论文作者
论文摘要
我们重新审视了爱德华兹 - 安德森（EA）模型的Haake-Lewenstein-Wilkens（HLW）方法[Phys。莱特牧师。 55，2606（1985）]。这种方法在于评估和分析系统两种复制品的概率分布，平均是猝灭障碍。该概率分布产生来自系统两个副本的自旋变量的热副本的平方，平均为无序，即输入原始EA订单参数QEA的标准定义的术语。我们使用鞍点/最陡峭的下降方法来计算高维度在更高维度的平均值。这个近似结果表明，在3D和4D中为0 <t <tc时的qea> 0。 2D的情况似乎有些微妙，因为在当前的方法中，域壁的能量增加在2D中更强烈地与边界/边缘效应竞争。我们的方法仍然可以预测在足够低温下的旋转玻璃顺序。我们推测，这些预测如何证实/与2D，3D和4D中的EA模型中只有一个（直至旋转的基态）在EA模型中仅存在一个（直至自旋翻转）； ii）3D和4D（2D）中有（无）自旋玻璃过渡。本文致力于Fritz Haake和Marek Cieplak的回忆。
We revisit the Haake-Lewenstein-Wilkens (HLW) approach to Edwards-Anderson (EA) model of Ising spin glass [Phys. Rev. Lett. 55, 2606 (1985)]. This approach consists in evaluation and analysis of the probability distribution of configurations of two replicas of the system, averaged over quenched disorder. This probability distribution generates squares of thermal copies of spin variables from the two copies of the systems, averaged over disorder, that is the terms that enter the standard definition of the original EA order parameter, qEA. We use saddle point/steepest descent method to calculate the average of the Gaussian disorder in higher dimensions. This approximate result suggest that qEA >0 at 0 <T <Tc in 3D and 4D. The case of 2D seems to be a little more subtle, since in the present approach energy increase for a domain wall competes with boundary/edge effects more strongly in 2D; still our approach predicts spin glass order at sufficiently low temperature. We speculate, how these predictions confirm/contradict widely spread opinions that: i) There exist only one (up to the spin flip) ground state in EA model in 2D, 3D and 4D; ii) There is (no) spin glass transition in 3D and 4D (2D). This paper is dedicated to the memories of Fritz Haake and Marek Cieplak.
