Two-electron quantum dot in a magnetic field: Analytic solution for finite potential model
Mesoscale and Nanoscale Physics
2021-06-25 v2
Abstract
The energy levels of two interacting electrons in a 2D quantum dot confined by a finite Gaussian potential and subjected to a uniform magnetic field perpendicular to the plane of the dot are studied. Analytic results are obtained for the energy spectrum of the two-electron system as well as for a single electron. The magnetic field at which the ground state transitions from the spin-singlet to the spin-triplet state for the two-electron system is calculated and compared with the experimental data and previous theoretical results for the infinite harmonic confining potential. The ground state energy of the two-electron system as a function of the magnetic field is calculated and compared with the experimental data.
Cite
@article{arxiv.2009.09920,
title = {Two-electron quantum dot in a magnetic field: Analytic solution for finite potential model},
author = {S. Chaudhuri},
journal= {arXiv preprint arXiv:2009.09920},
year = {2021}
}