Coherent Exciton Dynamics and Trapping in Topologically Disordered Systems

TL;DR

This paper investigates how excitons behave in three-dimensional disordered networks with traps, revealing that long-range interactions lead to decay patterns similar to regular one-dimensional systems, linked to the system's eigenstates.

Contribution

It demonstrates that long-range interactions in topologically disordered systems produce decay behaviors akin to one-dimensional systems, connecting dynamics to eigenstates without traps.

Findings

Surprising decay similarity between disordered 3D and regular 1D systems.

Decay patterns are related to eigenstates of the system without traps.

Long-range interactions significantly influence exciton survival probabilities.

Abstract

We analyze the coherent dynamics of excitons in three dimensional topologically disordered networks with traps. If the interactions between the nodes of the network are long ranged, i.e., algebraically decaying as a function of the distance between the nodes, the average survival probability of an exciton surprisingly shows a characteristic decay with features similar to the decay found for regular one-dimensional systems. We further show how this decay can be related to the eigenstates of the same system without a trap.