Thermal conductivity of a two-dimensional electron gas with Coulomb   interaction
  We demonstrate that forward electron-electron scattering due to Coulomb interation in a two-dimensional ballistic electron gas leads to the (T\ln {T})^{-1} temperature dependence of the thermal conductivity, which is logarithmically suppressed compared to the usual Fermi liquid behaviour. 
A.O. Lyakhov and E.G. Mishchenko