Critical properties of doped coupled spin-Peierls chains

Using numerical Real Space Renormalisation Group methods as well as Stochastic Series Expansions Quantum Monte Carlo simulations a generic model of diluted spin-1/2 impurities interacting at long distances is investigated. Such a model gives a generic description of coupled dimerized spin-Peierls chains doped with non-magnetic 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.