Ground State Spin Oscillations of a Two-Electron Quantum Dot in a Magnetic Field

TL;DR

This paper analyzes the crossings between spin-singlet and spin-triplet states in a two-electron quantum dot under a magnetic field, providing explicit formulas for these transitions based on magnetic parameters.

Contribution

It derives explicit expressions for spin state crossings in a two-electron quantum dot influenced by a magnetic field, advancing understanding of quantum dot spin dynamics.

Findings

Explicit formulas for spin state crossings as functions of magnetic field and dot size.

Identification of conditions for singlet-triplet state crossings.

Enhanced understanding of spin behavior in quantum dots under magnetic influence.

Abstract

Crossings between spin-singlet and spin-triplet lowest states are analyzed within the model of a two-electron quantum dot in a perpendicular magnetic field. The explicit expressions in terms of the magnetic field, the magnetic quantum number $m$ of the state and the dimensionless dot size for these crossings are found.