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A two-dimensional (2D) spin-1/2 antiferromagnetic Heisenberg model with aspecific kind of quenched disorder is investigated, using the first principlesnonperturbative quantum Monte Carlo calculations (QMC). The employed disorderdistribution has a tunable parameter $p$ which can be considered as a measureof the corresponding randomness. In particular, when $p=0$ the disorderedsystem becomes the clean one. Through a large scale QMC, the dynamic criticalexponents $z$, the ground state energy densities $E_0$, as well as the Wilsonratios $W$ of various $p$ are determined with high precision. Interestingly, wefind that the $p$ dependence of $z$ and $W$ are likely to be complementary toeach other. For instance, while the $z$ of $0.4 \le p \le 0.9$ match well amongthemselves and are statistically different from $z=1$ which corresponds to theclean system, the $W$ for $p < 0.7$ are in reasonable good agreement with thatof $p=0$. The technical subtlety of calculating these physical quantities for adisordered system is demonstrated as well. The results presented here are notonly interesting from a theoretical perspective, but also can serve asbenchmarks for future related studies.

Ground state energy density, susceptibility, and Wilson ratio of a two-dimensional disordered quantum spin system