论文标题
稀释后的Sherrington-Kirkpatrick自旋玻璃的基态接口指数
Ground state interface exponents of the diluted Sherrington-Kirkpatrick spin glass
论文作者
论文摘要
我们通过强范围的债券占用概率$ p $呈现了稀释后的Sherrington-Kirkpatrick玻璃的基态界面特性的大规模模拟，该玻璃使用强大的疾病重新分配组和人口退火蒙特卡洛方法。我们发现该接口填充空间独立于$ p $，即分形尺寸$ d_s = 1 $。尽管最近发现的能源有限尺寸校正指数$ω$，但刚度指数$θ$也可能独立于$ p $，但随着$ p $的变化。还分析了能量有限尺寸的缩放标度，并将其与$ \ pm j $疾病的缩放量进行了比较，发现热力学能量在$ p $和疾病中都是通用的，而指数$ω$随$ p $而变化，但在疾病中是普遍的。
We present a large-scale simulation of the ground state interface properties of the diluted Sherrington-Kirkpatrick spin glass of Gaussian disorder for a broad range of the bond occupation probability $p$ using the strong disorder renormalization group and the population annealing Monte Carlo methods. We find that the interface is space-filling independent of $p$, i.e., the fractal dimension $d_s=1$. The stiffness exponent $θ$ is likely also independent of $p$, despite that the energy finite-size correction exponent $ω$ varies with $p$ as recently found. The energy finite-size scaling is also analyzed and compared with that of the $\pm J$ disorder, finding that the thermodynamic energy is universal in both $p$ and the disorder, and the exponent $ω$ varies with $p$ but is universal in the disorder.
