Relativistic fine structure and the energy levels of confined multi-electron GaAs quantum dot with hydrogenic impurity within the effective mass approximation in presence of magnetic field
The theory of ground state and excited state energies calculations of multielectron quantum dot with hydrogenic impurity within the effective mass approximation has been given. Results show that ground and excited state energies decrease with dot radius. In the present paper, calculation has been carried out for two electron quantum dot. The effect of magnetic field on first excited state for different values of and has been studied. In addition, the first order relativistic terms such as relativistic correction to the kinetic energy, Darwin and spin-orbit interaction term for first excited state have been investigated. According to the results obtained (i) Relativistic correction to kinetic energy, Darwin and spin-orbit interaction term approaches zero when dot size increases. (ii) The splitting between j=1/2 and j=3/2 due to spin-orbit interaction decreases by increasing dot size. (iii)The splitting between j=1/2 and j=3/2 due to spin-orbit interaction decreases by increasing depth of potential.
Quantum dot; Relativistic correction; Spin-orbit interaction; Darwin term
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