Two and three electrons in a quantum dot: 1/|J| - expansion

TL;DR

This paper develops a systematic power series expansion in 1/|J| for energy levels of two and three electrons in a 2D quantum dot under a perpendicular magnetic field, focusing on high angular momentum states.

Contribution

It introduces a novel 1/|J| expansion method to accurately compute energy levels in quantum dots with high angular momentum states.

Findings

Energy levels can be computed as power series in 1/|J|.

The method is effective for high magnetic field limits.

States with high angular momentum are accurately described by the expansion.

Abstract

We consider systems of two and three electrons in a two-dimensional parabolic quantum dot. A magnetic field is applied perpendicularly to the electron plane of motion. We show that the energy levels corresponding to states with high angular momentum, J, and a low number of vibrational quanta may be systematically computed as power series in 1/|J|. These states are relevant in the high-B limit.