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We have investigated the thermal conductivity \kappa_mag of high-puritysingle crystals of the spin chain compound Sr2CuO3 which is considered anexcellent realization of the one-dimensional spin-1/2 antiferromagneticHeisenberg model. We find that the spinon heat conductivity \kappa_mag isstrongly enhanced as compared to previous results obtained on samples withlower chemical purity. The analysis of \kappa_mag allows to compute the spinonmean free path l_mag as a function of temperature. At low-temperature we findl_mag\sim0.5\mum, corresponding to more than 1200 chain unit cells. Uponincreasing the temperature, the mean free path decreases strongly andapproaches an exponential decay ~1/T*exp(T*/T) which is characteristic forumklapp processes with the energy scale k_B T*. Based on Matthiesen's rule wedecompose l_mag into a temperature-independent spinon-defect scattering lengthl0 and a temperature dependent spinon-phonon scattering length l_sp(T). Bycomparing l_mag(T) of Sr2CuO3 with that of SrCuO2, we show that the spin-phononinteraction, as expressed by l_sp is practically the same in both systems. Thecomparison of the empirically derived l_sp with model calculations for thespin-phonon interaction of the one-dimensional spin-1/2 XY model yieldsreasonable agreement with the experimental data.

Spinon heat transport and spin-phonon interaction in the antiferromagnetic spin-1/2 Heisenberg chain cuprates Sr2CuO3 and SrCuO2