arXiv 1709.061532017-09cond-mat.dis-nn

二维双峰伊辛自旋玻璃：反常维度$η$

The bimodal Ising spin glass in dimension two : the anomalous dimension $η$

P. H. Lundow, I. A. Campbell

备注：: 6 pages, 8 figures
发表信息：: Phys. Rev. B 97, 024203 (2018)
DOI：: 10.1103/PhysRevB.97.024203

摘要：

在$T \sim 1$温区直接测量了二维高斯和双峰伊辛自旋玻璃的自旋玻璃关联函数$G(R)$。在高斯情况下，数据与已知的反常维数值$η\equiv 0$一致。对于双峰自旋玻璃在这个温度区$T > T^{*}(L)$，远高于交叉$T^{*}(L)$的基态为主的制度，有效指数$η$显然是非零的数据是一致的估计$η\sim 0.28(4)$由McMillan在1983年从类似的测量。测量了两个模型的Binder累积量$U_{4}(T,L)$和归一化相关长度$ξ(T,L)/L$的温度依赖性，证实了二维双峰模型在低于和高于$T^{*}(L)$时都具有非零有效$η$的结论。二维双峰和高斯相互作用分布的伊辛自旋玻璃不属于同一普适性类。

英文摘要：

Direct measurements of the spin glass correlation function $G(R)$ for Gaussian and bimodal Ising spin glasses in dimension two have been carried out in the temperature region $T \sim 1$. In the Gaussian case the data are consistent with the known anomalous dimension value $η\equiv 0$. For the bimodal spin glass in this temperature region $T > T^{*}(L)$, well above the crossover $T^{*}(L)$ to the ground state dominated regime, the effective exponent $η$ is clearly non-zero and the data are consistent with the estimate $η\sim 0.28(4)$ given by McMillan in 1983 from similar measurements. Measurements of the temperature dependence of the Binder cumulant $U_{4}(T,L)$ and the normalized correlation length $ξ(T,L)/L$ for the two models confirms the conclusion that the 2D bimodal model has a non-zero effective $η$ both below and above $T^{*}(L)$. The 2D bimodal and Gaussian interaction distribution Ising spin glasses are not in the same Universality class.

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英文摘要：

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