Abstract
Using numerical Real Space Renormalization Group methods as well as Stochastic Series Expansions Quantum Monte Carlo simulations a generic model of diluted spin-$\frac{1}{2}$ impurities interacting at long distances is investigated. Such a model gives a generic description of coupled dimerized spin-Peierls chains doped with nonmagnetic impurities at temperatures lower than the spin gap. A scaling regime with temperature power-law behaviors in several quantities like the uniform or staggered susceptibilities is identified and interpreted in terms of large clusters of correlated spins.
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