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The T-dependence of the thermal conductivity is measured in a series of Cu 1-x Mg x GeO 3 crystals. For samples with x=<0.0244, the short-range spin-Peierls correlations are found to start developing at ~15 K, independently of the Mg concentration. However, it turned out that the long-range order cannot be established unless the mean free path of the spin excitations...
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