Radiative heat transfer in 2D Dirac materials

TL;DR

This paper analyzes radiative heat transfer between two 2D Dirac materials, deriving the near-field asymptotic behavior and discussing the impact of spatial dispersion on the scaling law.

Contribution

It provides analytical and numerical derivations of the near-field heat transfer scaling law for 2D Dirac materials, including topological insulators and graphene.

Findings

Heat transfer scales as the inverse of the distance at short ranges.

Spatial dispersion limits the validity of the inverse distance scaling.

Analytical expressions for near-field heat transfer derived.

Abstract

We compute the radiative heat transfer between two sheets of 2D Dirac materials, including topological Chern insulators and graphene, within the framework of the local approximation for the optical response of these materials. In this approximation, which neglects spatial dispersion, we derive both numerically and analytically the short-distance asymptotic of the near-field heat transfer in these systems, and show that it scales as the inverse of the distance between the two sheets. Finally, we discuss the limitations to the validity of this scaling law imposed by spatial dispersion in 2D Dirac materials.