论文标题

无序的ISING模型的局部现场方法波动

Fluctuating local field method for the disordered Ising model

论文作者

Kuznetsova, Daria, Astretsov, Grigory V., Rubtsov, Alexey N.

论文摘要

我们提出了一种计算与自旋之间任意选择相互作用的经典自旋簇的热性能的方法。对于此类系统,不稳定通道是\ textit {a先验}。该方法基于波动的局部领域(FLF)方法,该方法的有效描述具有非线性和波动场,并对平均场理论进行了实质性改进。我们表明,两种波动模式足以用于数值准确的解决方案,该系统由两打旋转组成,而对于较大的系统,需要考虑大量波动模式,以与精确解决方案达成完整的定量协议。

We present a method for computing thermal properties of classical spin clusters with arbitrarily chosen interactions between spins. For such systems, instability channels are \textit{a priori} not known. The method is based on the Fluctuating Local Field (FLF) approach, the effective description of the system with a nonlinear and fluctuating field, and achieves substantial improvements over mean-field theory. We show that two fluctuating modes are sufficient for numerically accurate solution of systems consisting of two dozen spins, while for larger systems it is needed to account for a larger number of fluctuating modes for a full quantitative agreement with the exact solution.

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