Renormalized frequency shift of a Wannier exciton in a one-dimensional system

TL;DR

This paper calculates the radiative frequency shift of a superradiant exciton in a one-dimensional system, demonstrating that a finite, renormalized shift depends inversely on the ratio of photon wavelength to lattice spacing.

Contribution

It introduces a renormalization approach to accurately determine the frequency shift of excitons in 1D systems, highlighting its dependence on system parameters.

Findings

Finite frequency shift obtained after renormalization

Shift inversely proportional to λ/d ratio

Provides a theoretical framework for exciton radiative properties

Abstract

The radiative frequency shift of superradiant exciton in a one-dimensional system is calculated. It is shown that a finite frequency shift can be obtained after proper renormalization. The value of the shift is inversely proportional to the factor $\frac{\lambda}{d}$, where $\lambda $ is the wavelength of the emitted photon and $d$ is the lattice spacing.