Quantum shape effects on Zeeman splittings in semiconductor nanostructures

TL;DR

This paper presents a general tight-binding method to calculate Zeeman splittings in semiconductor nanostructures, accounting for quantum shape effects and g-factor anisotropy, with numerical results for CdSe and CdTe.

Contribution

A novel computational approach for Zeeman splittings in nanostructures that includes shape effects and is extendable to excitonic calculations.

Findings

Method successfully computes Zeeman splittings for CdSe and CdTe nanostructures.

Quantum shape significantly influences Zeeman splittings and g-factor anisotropy.

The approach can be extended to include electron-hole Coulomb interactions.

Abstract

We develop a general method to calculate Zeeman splittings of electrons and holes in semiconductor nanostructures within the tight-binding framework. The calculation is carried out in the electron-hole picture and is extensible to the excitonic calculation by including the electron-hole Coulomb interaction. The method is suitable for the investigation of quantum shape effects and the anisotropy of the g-factors. Numerical results for CdSe and CdTe nanostructures are presented.