论文标题
二维无序量子自旋系统的基态能量密度，敏感性和威尔逊比率
Ground state energy density, susceptibility, and Wilson ratio of a two-dimensional disordered quantum spin system
论文作者
论文摘要
使用第一个原理非逆势量子蒙特卡洛计算（QMC）研究了一种具有特定类型的猝灭障碍的二维（2D）SPIN-1/2抗磁性海森堡模型。使用的疾病分布具有可调参数$ p $，可以被视为对相应随机性的度量。特别是，当$ p = 0 $时，无序系统成为干净的系统。通过大规模的QMC，动态关键指数$ z $，基态能量密度$ e_0 $，以及各种$ p $的Wilson Ratios $ w $的精度。有趣的是，我们发现$ z $和$ w $的$ p $依赖性可能相互补充。例如，虽然$ z $的$ 0.4 \ le p \ le 0.9 $之间的匹配良好，并且在统计上与$ z = 1 $相差，这与清洁系统相对应，但$ w $ for $ p <0.7 $与$ p = 0 $的$ p <0.7 $相当合理。还展示了计算这些物理量的无序系统物理量的技术微妙之处。此处介绍的结果不仅从理论角度有趣，而且可以作为将来相关研究的基准。
A two-dimensional (2D) spin-1/2 antiferromagnetic Heisenberg model with a specific kind of quenched disorder is investigated, using the first principles nonperturbative quantum Monte Carlo calculations (QMC). The employed disorder distribution has a tunable parameter $p$ which can be considered as a measure of the corresponding randomness. In particular, when $p=0$ the disordered system becomes the clean one. Through a large scale QMC, the dynamic critical exponents $z$, the ground state energy densities $E_0$, as well as the Wilson ratios $W$ of various $p$ are determined with high precision. Interestingly, we find that the $p$ dependence of $z$ and $W$ are likely to be complementary to each other. For instance, while the $z$ of $0.4 \le p \le 0.9$ match well among themselves and are statistically different from $z=1$ which corresponds to the clean system, the $W$ for $p < 0.7$ are in reasonable good agreement with that of $p=0$. The technical subtlety of calculating these physical quantities for a disordered system is demonstrated as well. The results presented here are not only interesting from a theoretical perspective, but also can serve as benchmarks for future related studies.
