Critical behavior of three-dimensional Ising spin glass models
Critical behavior of three-dimensional Ising spin glass models
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DOI：
10.1103/physrevb.78.214205
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发表时间：
2008-09
影响因子：
3.7
通讯作者：
M. Hasenbusch;A. Pelissetto;E. Vicari
中科院分区：
文献类型：
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作者：
M. Hasenbusch;A. Pelissetto;E. Vicari
我们对三维立方晶格L上的伊辛自旋玻璃模型进行了高统计蒙特卡罗模拟：其中+-J(爱德华兹-安德森)伊辛模型具有两个无序参数p，p=0.5和p=0.7(分别高达L=28和L=20)，键稀疏双峰模型的键占据几率p_b=0.45(高达L=16)。四次累积量在临界点的有限大小行为使我们能够非常准确地检查这些模型是否属于相同的普适性类。此外，它还允许我们估计与前导无关算符有关的标度校正指数：omega=1.0(1)。对pb=0.7和pb=0.35的键稀疏双峰模型(直到L=10)和具有高斯键分布的伊辛自旋玻璃模型(直到L=8)的较短的蒙特卡罗模拟也支持唯一的伊辛自旋玻璃普适类的存在。对蒙特卡罗数据进行仔细的有限尺寸分析，考虑到对标度的解析和非解析修正，我们可以获得对临界指数\nU和\eta的精确和可靠的估计：我们得到\nu=2.45(15)和\eta=-0.375(10)。
We perform high-statistics Monte Carlo simulations of three-dimensional Ising spin-glass models on cubic lattices of size L: the +- J (Edwards-Anderson) Ising model for two values of the disorder parameter p, p=0.5 and p=0.7 (up to L=28 and L=20, respectively), and the bond-diluted bimodal model for bond-occupation probability p_b = 0.45 (up to L=16). The finite-size behavior of the quartic cumulants at the critical point allows us to check very accurately that these models belong to the same universality class. Moreover, it allows us to estimate the scaling-correction exponent \omega related to the leading irrelevant operator: \omega=1.0(1). Shorter Monte Carlo simulations of the bond-diluted bimodal models at p_b=0.7 and p_b=0.35 (up to L=10) and of the Ising spin-glass model with Gaussian bond distribution (up to L=8) also support the existence of a unique Ising spin-glass universality class. A careful finite-size analysis of the Monte Carlo data which takes into account the analytic and the nonanalytic corrections to scaling allows us to obtain precise and reliable estimates of the critical exponents \nu and \eta: we obtain \nu=2.45(15) and \eta=-0.375(10).