  In this work, we present an expression for the near-field thermal radiative
transfer between two spheres with an arbitrary numbers of coatings. We
numerically demonstrate that the spectrum of heat transfer between layered
spheres exhibits novel features due to the newly introduced interfaces between
coatings and cores. These features include broad super-Planckian peaks at
non-resonant frequencies and near-field selective emission between metallic
spheres with polar material coatings. Spheres with cores and coatings of two
different polar materials are also shown to exceed the total conductance of
homogeneous spheres in some cases.
