Thermal conductivity of two-band superconductors with an impurity

The electron thermal conductivity of a two-band superconductor with an impurity is found. Allowance is made for the energy bands overlapping in the neighborhood of the Fermi level and processes of intra- and interband scattering of electrons on impurities. It is shown that, in general, the contributions of the individual bands are not additive because of interband scattering. As a special case, the expressions contain the well-known result for a single-band isotropic model. The electron thermal conductivity is also calculated for a normal two-band metal.