Energy levels of a parabolically confined quantum dot in the presence of spin-orbit interaction

TL;DR

This paper theoretically investigates how Rashba spin-orbit interaction and magnetic fields influence the energy levels of a parabolically confined quantum dot, revealing effects on spin polarization and energy spectra resembling Fock-Darwin and Landau levels.

Contribution

It provides a detailed analysis of energy level modifications in quantum dots due to spin-orbit interaction and magnetic fields, highlighting new insights into spin polarization effects.

Findings

Magnetic field enhances spin polarization in quantum dots.

Spin-orbit interaction causes distinct energy dependence on magnetic fields.

High magnetic fields reveal Fock-Darwin and Landau level features.

Abstract

We present a theoretical study of the energy levels in a parabolically confined quantum dot in the presence of the Rashba spin-orbit interaction (SOI). The features of some low-lying states in various strengths of the SOI are examined at finite magnetic fields. The presence of a magnetic field enhances the possibility of the spin polarization and the SOI leads to different energy dependence on magnetic fields applied. Furthermore, in high magnetic fields, the spectra of low-lying states show basic features of Fock-Darwin levels as well as Landau levels.