Resonance energy transfer at percolation transition

TL;DR

This paper investigates how resonance energy transfer behaves near a dielectric-metal percolation transition, revealing it does not peak at criticality unlike spontaneous emission, indicating different underlying mechanisms.

Contribution

It provides the first analysis of RET at a percolation threshold, showing it does not exhibit a peak and thus differs from spontaneous emission behavior.

Findings

RET rate does not peak at percolation transition

RET is less correlated with local density of states

Spontaneous emission rate peaks at percolation

Abstract

We compute the resonance energy transfer (RET) in a system composed of two quantum emitters near a host dielectric matrix in which metallic inclusions are inserted until the medium undergoes a dielectric-metal transition at percolation. We show that there is no peak in the RET rate at percolation, in contrast to what happens with the spontaneous emission rate of an emitter near the same critical medium. This result suggests that RET does not strongly correlate with the local density of states.