Two-electron quantum dot in a magnetic field: Analytic solution for finite potential model
arXiv:2009.09920 · doi:10.1016/j.physe.2020.114571
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.
References in corpus (4)
- Two-Electron Quantum Dot in Magnetic Field: Analytical Results
- Probing the Shape of Quantum Dots with Magnetic Fields
- How the inter-electronic potential Ansätze affect the bound state solutions of a planar two-electron quantum dot model
- Prediction of the spin triplet two-electron quantum dots in Si: towards controlled quantum simulations of magnetic systems