Six–vertex model with domain wall boundary conditions in the Bethe–Peierls approximation

Six–vertex model with domain wall boundary conditions in the Bethe–Peierls approximation
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Bethe-Peiierls 近似中具有磁畴壁边界条件的六顶点模型

DOI:
10.1088/1742-5468/2015/06/p06008
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发表时间:
2014
期刊:
Journal of Statistical Mechanics: Theory and Experiment
影响因子:
--
通讯作者:
A. Pelizzola
A. Pelizzola
中科院分区:
--
文献类型:
--
作者:
L. Cugliandolo;G. Gonnella;A. Pelizzola

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我们用Bethe-Peierls方法结合信念传播算法研究了正方形格子上的六点模型和矩形格子上的部分域壁边界条件下的六顶点模型中的北极曲线。我们表明,这种相当简单的近似得到的结果与已知的精确结果非常接近,并且允许人们在没有准确结果的情况下以相对较小的努力来估计相边界的位置。
We use the Bethe–Peierls method combined with the belief propagation algorithm to study the arctic curves in the six vertex model on a square lattice with domain-wall boundary conditions, and the six vertex model on a rectangular lattice with partial domain-wall boundary conditions. We show that this rather simple approximation yields results that are remarkably close to the exact ones when these are known, and allows one to estimate the location of the phase boundaries with relative little effort in cases in which exact results are not available.
DOI: 10.1038/nphys1853
发表时间: 2011-01-01
期刊: NATURE PHYSICS
影响因子: 19.6
作者:
Morgan, Jason P.;Stein, Aaron;Marrows, Christopher H.
通讯作者: Marrows, Christopher H.
DOI: 10.1088/1367-2630/14/3/035014
发表时间: 2012-03-20
影响因子: 3.3
作者:
Budrikis, Z.;Livesey, K. L.;Stamps, R. L.
通讯作者: Stamps, R. L.