Influence of carbon substitution on the heat transport in single   crystalline MgB2
  We report data on the thermal conductivity \kappa(T,H) in the basal plane of hexagonal single-crystalline and superconducting Mg(B_{1-x}C_x)_2 (x= 0.03, 0.06) at temperatures between 0.5 and 50 K, and in external magnetic fields H between 0 and 50 kOe. The substitution of carbon for boron leads to a considerable reduction of the electronic heat transport, while the phonon thermal conductivity seems to be much less sensitive to impurities. The introduction of carbon enhances mostly the intraband scattering in the \sigma-band. In contrast to the previously observed anomalous behavior of pure MgB$_2$, the Wiedemann-Franz law is valid for Mg(B_0.94 C_0.06)_2 at low temperatures. 
A.V. Sologubenko, N.D. Zhigadlo, S. M. Kazakov, J. Karpinski, H.R. Ott