Effect of electron–electron interaction on the magnetic moment and susceptibility of a parabolic GaAs quantum dot

Abstract

The problem of a parabolically confined two-dimensional semiconductor GaAs quantum dot with two interacting electrons in the presence of an external magnetic field and the spin-Zeeman interaction is studied using a method of numerical diagonalization. The energy spectrum is calculated as a function of the magnetic field. The magnetic moment (M) and the magnetic susceptibility (χ) show zero temperature diamagnetic peaks due to the exchange induced singlet–triplet transitions. The position and the number of these peaks depend both on the confinement strength of the quantum dot and the strength of the electron–electron interaction (β).