Universality class of the Nishimori point in the 2D +/- J random-bond Ising model.

Universality class of the Nishimori point in the 2D +/- J random-bond Ising model.
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2D /- J 随机键伊辛模型中西森点的普遍性类别。

DOI:
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发表时间:
2000
影响因子:
8.6
通讯作者:
Pierre Pujol
Pierre Pujol
中科院分区:
物理与天体物理1区
文献类型:
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作者:
A. Honecker;Marco Picco;Pierre Pujol

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本文用数值转移矩阵方法研究了2D +/- J无规键Ising模型中Nishimori点的普适类。使用畴壁自由能,我们将不动点沿着Nishimori线定位在临界浓度值p(c)= 0.1094 +/- 0.0002处,并估计nu = 1.33 +/- 0.03。然后,我们获得了自旋-自旋相关函数的矩的指数以及中心电荷c = 0.464 +/- 0.004的值。主要的定性结果是,渗流现在被排除在候选人描述的普遍性类这个不动点。
We study the universality class of the Nishimori point in the 2D +/- J random-bond Ising model by means of the numerical transfer-matrix method. Using the domain-wall free energy, we locate the position of the fixed point along the Nishimori line at the critical concentration value p(c) = 0.1094 +/- 0.0002 and estimate nu = 1.33 +/- 0.03. Then, we obtain the exponents for the moments of the spin-spin correlation functions as well as the value for the central charge c = 0.464 +/- 0.004. The main qualitative result is the fact that percolation is now excluded as a candidate for describing the universality class of this fixed point.