Abstract
Based on a model of a quasi-one dimensional spin-Peierls system doped with nonmagnetic impurities, an effective two-dimensional Hamiltonian of randomly distributed $S=1∕2$ spins interacting via long-range pairwise interaction is studied using a stochastic series expansion quantum Monte Carlo method. The susceptibility shows Curie-like behavior at the lowest temperatures reached although the staggered magnetisation is found to be finite for $T\ensuremath{\rightarrow}0$. The doping dependance of the corresponding three-dimensional N\'eel temperature is also computed.
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