New critical-point exponent and new scaling laws for short-range Ising spin glasses.

New critical-point exponent and new scaling laws for short-range Ising spin glasses.
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短程伊辛自旋玻璃的新临界点指数和新标度定律。

DOI:
10.1103/physrevlett.68.2992
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发表时间:
1992
影响因子:
8.6
通讯作者:
Hilhorst
Hilhorst
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Nifle;Hilhorst

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我们研究了短程伊辛自旋玻璃中重正化耦合的混沌温度依赖性。我们的一些分析和数值计算结果,获得的Migdal-Kadanoff重整化方案,但认为具有普遍的有效性,不同于标度和液滴理论。首先,在临界温度和临界温度以上也存在混沌。第二,在dr=2.46(下临界维数)和d+=3.4之间,临界区域的混沌特征是一个新的临界指数σ c,迄今尚未引起人们的注意
We investigate the chaotic temperature dependence of the renormalized couplings in a short-range Ising spin glass. Some of our analytic and numerical results, obtained by the Migdal-Kadanoff renormalization scheme but argued to have general validity, differ from those of the scaling and droplet theory. First, chaos is present also at and above the critical temperature. Second, between dr=2.46 (the lower critical dimension) and d+=3.4, the chaos in the critical region is characterized by a new critical exponent ζ c that has hitherto escaped attention