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College of Engineering, University of Hail, P. O. Box 2440, Hail, Saudi Arabia, manaafa@uoh.edu.sa

ABSTRACT

The ground-state properties of a two-dimensional quantum-dot are studied. We have used the shifted 1/N expansion method to solve the relative part of the Hamiltonian of two electrons confined in a quantum dot in the presence of an applied uniform magnetic field. The spin singlet-triplet transition in the ground state of the QD is shown. We have also displayed the singlet-triplet energy gap against the strength of the magnetic field for a two electron quantum dot. Based on comparisons, the eigenenergies obtained by the 1/N shifted method are in excellent agreement with exact numerical diagonalization and variational methods.

Keywords: Quantum Dots , Magnetic Field, Eigenenergies , 1/N method.

PACS numbers: 73.21La,71.70Gm,03.65Ge