Finite Size Effects on the Optical Transitions in Quantum Rings under a Magnetic Field

TL;DR

This paper theoretically investigates how finite size effects influence optical transitions in quantum rings subjected to high magnetic fields, revealing periodic emission suppression due to barrier height constraints.

Contribution

It introduces a model analyzing energy spectra of electrons and holes in quantum rings, highlighting finite size effects on optical emission under magnetic fields.

Findings

Optical emission periodically disappears with increasing magnetic field.

Finite barrier height causes suppression of optical transitions.

Model applies to various ring geometries, including disks and antidots.

Abstract

We present a theoretical study of the energy spectrum of single electron and hole states in quantum dots of annular geometry under a high magnetic field along the ring axis in the frame of uncorrelated electron-hole theory. We predict the periodic disappearance of the optical emission of the electron-hole pair as the magnetic field increases, as a consequence of the finite height of the barriers. The model has been applied to semiconductor rings of various internal and external radii, giving as limiting cases the disk and antidot.