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arXiv 1003.4805math-phcond-mat.stat-mechmath.MP
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可积手征Potts模型的自发磁化

Spontaneous Magnetization of the Integrable Chiral Potts Model

Helen Au-Yang, Jacques H. H. Perk

摘要:

我们展示了如何$Z$ -不变性的手征Potts模型提供了一个策略来计算对相关的一般可积手征Potts模型只使用超可积的本征向量。当关联函数中两个自旋之间的距离变为无穷大时,它变为序参量的平方。这样,我们表明,自发磁化强度可以表示在$N$渐近退化的最大本征值的本征向量的内积。利用我们以前的结果,这些特征向量,我们能够获得的序参量作为一个几乎相同的一个由巴克斯特。这给出了已知的自发磁化的手征波茨模型通过一个完全不同的方法。

英文摘要:

We show how $Z$-invariance in the chiral Potts model provides a strategy to calculate the pair correlation in the general integrable chiral Potts model using only the superintegrable eigenvectors. When the distance between the two spins in the correlation function becomes infinite it becomes the square of the order parameter. In this way, we show that the spontaneous magnetization can be expressed in terms of the inner products of the eigenvectors of the $N$ asymptotically degenerate maximum eigenvalues. Using our previous results on these eigenvectors, we are able to obtain the order parameter as a sum almost identical to the one given by Baxter. This gives the known spontaneous magnetization of the chiral Potts model by an entirely different approach.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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