Correlation-function distributions at the Nishimori point of two-dimensional Ising spin glasses
Correlation-function distributions at the Nishimori point of two-dimensional Ising spin glasses
复制标题
二维伊辛自旋玻璃西森点的相关函数分布
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
R. Stinchcombe
中科院分区：
文献类型：
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作者：
S. D. Queiroz;R. Stinchcombe
本文用数值转移矩阵方法研究了二维Ising自旋玻璃在Nishimori点的多临界行为，计算了带上自旋-自旋关联函数C的几率分布P（C）和相应的矩。关联函数分布P（C）形状的角度依赖性提供了一个严格的测试，以检验它们在多大程度上服从共形不变性的预测;（1 - C）P（C）的偶对称性反映了伊辛自旋玻璃规范（西森）对称性的结果。我们表明，共形不变性服从其最严格的形式，并检查相关的缩放的时刻的分布，以评估最近的猜想的有效性的西森点的精确本地化。在C= 1和C=0附近观察到P（C）的幂律发散，与保持规范对称性的简单标度方案部分雅阁。
The multicritical behavior at the Nishimori point of two-dimensional Ising spin glasses is investigated by using numerical transfer-matrix methods to calculate probability distributions P(C) and associated moments of spin-spin correlation-functions C on strips. The angular dependence of the shape of correlation function distributions P(C) provides a stringent test of how well they obey predictions of conformal invariance; and an even symmetry of (1 - C) P(C) reflects the consequences of the Ising spin-glass gauge (Nishimori) symmetry. We show that conformal invariance is obeyed in its strictest form, and the associated scaling of the moments of the distribution is examined, in order to assess the validity of a recent conjecture on the exact localization of the Nishimori point. Power-law divergences of P(C) are observed near C= 1 and C=0, in partial accord with a simple scaling scheme which preserves the gauge symmetry.