Coulomb force mediated heat transfer in the near field - geometric effect

It has been shown recently that the Coulomb part of electromagnetic interactions is more important than transverse propagation waves for the near-field enhancement of heat transfer between metal objects at a distance of order nanometers. Here we present a theory focusing solely on the Coulomb potential between electrons hopping among tight-binding sites. When the relevant systems are reduced to very small geometry, for example, a single site, the enhancement is much higher compared to a collection of them packed within a distance of a few angstroms. We credit this to the screening effect. This result may be useful in designing metal-based meta-materials to enhance heat transfer much higher.