On the oscillating properties of a two-electron quantum dot in the presence of a magnetic field

TL;DR

This paper explains the oscillating behavior of physical quantities in a two-electron quantum dot under a magnetic field, linking it to eigenstate transitions between singlet and triplet states, akin to the de Haas-van Alphen effect.

Contribution

It provides a fundamental explanation for the oscillations in quantum dot properties due to eigenstate transitions, extending previous observations to a new quantum system.

Findings

Oscillations linked to eigenstate transitions between singlet and triplet states.

Behavior analogous to the de Haas-van Alphen effect in metals.

Identification of magnetic field intervals with lowest energy states.

Abstract

We give a basic explanation for the oscillating properties of some physical quantities of a two-electron quantum dot in the presence of a static magnetic field. This behaviour was discussed in a previous work of ours [AM Maniero, {\it et al}. J. Phys. B: At. Mol. Opt. Phys. 53:185001, 2020] and was identified as a manifestation of the {\it de Haas-van Alphen} effect, originally observed in the framework of diamagnetism of metals in the 30's. We show that this behaviour is a consequence of different eigenstates of the system assuming, in a certain interval of the magnetic field, the condition of the lowest energy singlet and triplet states.