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arXiv 2102.01122cond-mat.dis-nnphysics.comp-ph
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长程关联无序二维Ising自旋玻璃的有序行为

Ordering Behavior of the Two-Dimensional Ising Spin Glass with Long-Range Correlated Disorder

L. Münster, C. Norrenbrock, A. P. Young, A. K. Hartmann

摘要:

标准二维伊辛自旋玻璃在有限温度下不呈现有序相。在这里,我们调查是否长期相关债券改变这种行为。这些键是从高斯分布中得出的,对于距离为r的键具有两点相关性,其衰减为$(1+r^2)^{-a/2}$,$a>0$。我们用精确算法数值研究了基态和畴壁激发。我们的结果表明,包括键相关性不会导致自旋玻璃秩序在任何有限的温度。进一步的分析表明,债券相关性有很强的影响,在当地的长度尺度,诱导铁/反铁磁域系统。当相关指数接近一个临界值$a \to a_c = 0$时,铁磁/反铁磁有序的长度尺度呈指数发散.因此,我们的研究结果表明,该系统成为一个铁/反铁磁体只有在限制$a \to 0$。

英文摘要:

The standard two-dimensional Ising spin glass does not exhibit an ordered phase at finite temperature. Here, we investigate whether long-range correlated bonds change this behavior. The bonds are drawn from a Gaussian distribution with a two-point correlation for bonds at distance r that decays as $(1+r^2)^{-a/2}$, $a>0$. We study numerically with exact algorithms the ground state and domain wall excitations. Our results indicate that the inclusion of bond correlations does not lead to a spin-glass order at any finite temperature. A further analysis reveals that bond correlations have a strong effect at local length scales, inducing ferro/antiferromagnetic domains into the system. The length scale of ferro/antiferromagnetic order diverges exponentially as the correlation exponent approaches a critical value, $a \to a_c = 0$. Thus, our results suggest that the system becomes a ferro/antiferromagnet only in the limit $a \to 0$.

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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