Heat transport in proximity structures.

We study heat and charge transport through a normal diffusive wire coupled with a superconducting wire over the region smaller than the coherence length. Because of partial Andreev reflection of quasiparticles from the interface, the subgap thermal flow is essentially suppressed and approaches zero along with energy, which is specific for diffusive structures. Whereas the electric conductance shows a conventional reentrance effect, the thermal conductance kappa rapidly decreases with temperature which qualitatively explains the results of recent experiments.