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arXiv 0804.1857cond-mat.dis-nn
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双峰二维Ising自旋玻璃的能隙

Energy gap of the bimodal two-dimensional Ising spin glass

W. Atisattapong, J. Poulter

摘要:

本文用精确算法计算了二维双峰伊辛自旋玻璃激发态的简并度。发现任意低温下的比热不是一个自平均量,其分布既不是正态分布,也不是对数正态分布。尽管如此,还是有可能估计出最可能的值,并且发现对于L*L晶格,这可以标度为L^3 T^(-2)exp(-4J/kT)。我们的分析还首次解释了为什么关联长度能隙为2 J时,关联长度为2 J/kT。我们的方法允许我们获得L <= 64的高达10^5个无序实现的结果。还示出了第二和第三激励的分布。

英文摘要:

An exact algorithm is used to compute the degeneracies of the excited states of the bimodal Ising spin glass in two dimensions. It is found that the specific heat at arbitrary low temperature is not a self-averaging quantity and has a distribution that is neither normal or lognormal. Nevertheless, it is possible to estimate the most likely value and this is found to scale as L^3 T^(-2) exp(-4J/kT), for a L*L lattice. Our analysis also explains, for the first time, why a correlation length ξ~ exp(2J/kT) is consistent with an energy gap of 2J. Our method allows us to obtain results for up to 10^5 disorder realizations with L <= 64. Distributions of second and third excitations are also shown.

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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