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 Hamiltonian of two electrons confined in a quantum 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, J = \Delta = E_T - E_S, against the strength of the magnetic field for two electron quantum dot. Based on comparisons, the eigenenergies obtained by the shifted method are in excellent agreement with exact, variational, Hartree-Fock (HF) and Full-Configuration Interaction (FCI) methods.
Quantum dots, Magnetic Field, Eigenenergies, Energy Gap Splitting
ELSAID, MOHAMMAD K. (2008) "The Energy Spectrum of Two-Electron Semiconductor Quantum Dots," Turkish Journal of Physics: Vol. 32: No. 2, Article 3. Available at: https://journals.tubitak.gov.tr/physics/vol32/iss2/3