The Ground-State Electronic Properties of a Quantum Dot with a Magnetic Field

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Journal Title, Volume, Page: 
Physica Scripta. 02/2007; 75(4):436. DOI:10.1088/0031-8949/75/4/010
Year of Publication: 
2007
Authors: 
Mohammad K Elsaid
Faculty of Sciences, Department of Physics, University of Hail, P O Box 2440, Hail, Saudi Arabia
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Preferred Abstract (Original): 

The ground-state energies of two interacting electrons, confined in a quantum dot (QD), are calculated. We have used the shifted 1/N expansion method to solve the relative part Hamiltonian of a QD presented in a uniform magnetic field. An energy expression for QD states in a magnetic field of arbitrary strength is given. The transitions in the angular momentum and spin of the QD ground state are also shown. Based on comparisons with the eigenenergies produced by various computational methods like: exact, Hartree–Fock (HF), local spin density approximation (LSDA), variational Monte Carlo (VMC) and diffusion Monte Carlo (DMC) methods, the shifted expansion method gives very good results.

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