Response to the Comment on "Excitons in Molecular Aggregates with L\'evy Disorder: Anomalous Localization and Exchange Broadening of Optical Spectra"

TL;DR

This paper defends previous predictions of anomalous optical and localization effects in molecular aggregates with heavy-tailed disorder, clarifying misconceptions from a recent comment by emphasizing the importance of disorder strength.

Contribution

It confirms the validity of earlier predictions about exciton behavior under Levy disorder and clarifies that previous results hold beyond small disorder regimes.

Findings

Exchange broadening observed with increasing disorder

Anomalous scaling of localization length confirmed

Blue shift of absorption spectrum persists with heavy-tailed disorder

Abstract

In previous work, we have predicted novel effects, such as exchange broadening, anomalous scaling of the localization length and a blue shift of the absorption spectrum with increasing disorder strength, for static disorder models described by stable distributions with stability index {\alpha}<1. The main points of the Comment are that the outliers introduced by heavy tails in the disorder distribution (i) do not lead to deviations from the conventional scaling law for the half width at half maximum (HWHM) of the absorption spectrum and (ii) do not lead to non-universality of the distribution of localization lengths. We show below that the findings reported by us in the Letter are correct and that the wrong conclusions of the Comment arise from focusing on small {\sigma} values.