Resonant Fibonacci Quantum Well Structures

TL;DR

This paper introduces a novel Fibonacci-based quantum well structure that exhibits unique resonant properties, extending the Bragg condition to quasicrystals and analyzing exciton-polariton dispersion and reflection spectra.

Contribution

It presents the first theoretical analysis of Fibonacci quasicrystal quantum wells, deriving dispersion relations and reflection spectra for these non-periodic structures.

Findings

Derived a dispersion equation for exciton-polaritons in Fibonacci MQWs.

Calculated reflection spectra showing dependence on well number and detuning.

Generalized the Bragg condition for Fibonacci quasicrystals.

Abstract

We propose a resonant one-dimensional quasicrystal, namely, a multiple quantum well (MQW) structure satisfying the Fibonacci-chain rule with the golden ratio between the long and short inter-well distances. The resonant Bragg condition is generalized from the periodic to Fibonacci MQWs. A dispersion equation for exciton-polaritons is derived in the two-wave approximation, the effective allowed and forbidden bands are found. The reflection spectra from the proposed structures are calculated as a function of the well number and detuning from the Bragg condition.