Absorption spectrum of a one-dimensional chain with Frenkel's exciton under diagonal disorder represented by hyperbolic defects

TL;DR

This paper introduces a method to calculate the absorption spectrum of a one-dimensional Frenkel exciton chain with diagonal disorder modeled by hyperbolic defects, revealing a defect-induced wing in the exciton zone.

Contribution

A novel continual approximation method for absorption spectra of disordered exciton chains with hyperbolic defects is proposed, showing defect effects are independent of defect arrangement.

Findings

Hyperbolic defects create a wing in the exciton absorption spectrum.

The wing's magnitude is proportional to the total defect amplitude.

The form of the wing is unaffected by defect positions or quantity.

Abstract

A method is proposed for calculating the absorption spectrum of a long one-dimensional closed-into-a-ring chain with Frenkel's exciton under diagonal disorder. This disorder is represented by the hyperbolic singularities of atomic fission. These defects are shown to lead to a wing in the exciton zone of a chain without defects. The form of the wing does not depend on the relative positions or number of defects and its value is proportional to the sum of the amplitudes of the defects. The proposed method uses only the continual approximation.