Direct measurements of the spin glass correlation function $G(R)$ forGaussian and bimodal Ising spin glasses in dimension two have been carried outin the temperature region $T \sim 1$. In the Gaussian case the data areconsistent with the known anomalous dimension value $\eta \equiv 0$. For thebimodal spin glass in this temperature region $T > T^{*}(L)$, well above thecrossover $T^{*}(L)$ to the ground state dominated regime, the effectiveexponent $\eta$ is clearly non-zero and the data are consistent with theestimate $\eta \sim 0.28(4)$ given by McMillan in 1983 from similarmeasurements. Measurements of the temperature dependence of the Binder cumulant$U_{4}(T,L)$ and the normalized correlation length $\xi(T,L)/L$ for the twomodels confirms the conclusion that the 2D bimodal model has a non-zeroeffective $\eta$ both below and above $T^{*}(L)$. The 2D bimodal and Gaussianinteraction distribution Ising spin glasses are not in the same Universalityclass.
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机译:已在温度区域$ T \ sim 1 $中对高斯和双峰Ising自旋玻璃的自旋玻璃相关函数$ G(R)$进行了直接测量。在高斯情况下,数据与已知的异常维值$ \ eta \ equiv 0 $相一致。对于在该温度区域$ T> T ^ {*}(L)$,远高于与基态主导状态的交叉点T ^ {*}(L)$的双峰自旋玻璃,有效指数$ \ eta $显然不是-零,且数据与McMillan在1983年通过类似测量得出的估计值\ eta \ sim 0.28(4)$一致。对两个模型的Binder累积量$ U_ {4}(T,L)$的温度依赖性和归一化相关长度$ \ xi(T,L)/ L $的测量结果证实了二维双峰模型具有非-在$ T ^ {**(L)$之上和之下的零有效$ \ eta $。二维双峰分布和高斯相互作用分布Ising自旋眼镜不在同一Universality类中。
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