Novel size effects on magneto-optics in the spherical quantum dots

TL;DR

This study explores how the size of spherical quantum dots influences their magneto-optical absorption properties, revealing that size effects dominate the spectral shifts under varying magnetic fields and confinement conditions.

Contribution

It provides a detailed theoretical analysis of size-dependent magneto-optical effects in spherical quantum dots using Bohm-Pines' RPA framework, highlighting the predominant role of size over magnetic field effects.

Findings

Size reduction causes a blue-shift in absorption peaks.

Magnetic field enhances particle localization without shifting peak positions.

Intra-Landau level transitions are forbidden.

Abstract

We embark on investigating the magneto-optical absorption in {\em spherical} quantum dots {\em completely} confined by a harmonic potential and exposed to an applied magnetic field in the symmetric gauge. This is done within the framework of Bohm-Pines' RPA that enables us to derive and discuss the full Dyson equation that takes proper account of the Coulomb interactions. Intensifying the confinement or magnetic field and reducing the dot-size yields a blue-shift in the absorption peaks. However, the size effects are seen to be predominant in this role. The magnetic field tends to maximize the localization of the particle, but leaves the peak position of the radial distribution intact. The intra-Landau level transitions are forbidden.