Spin-orbit interaction in a quantum pseudodot: pressure effect

In the present work, the Schrödinger equation for a pseudo-dot is solved analytically by using the Laplace transformation. Then, by using the variational procedure, the donor binding energy is calculated with a hydrogenic donor impurity at the center. Finally, the hydrostatic pressure effect on the spin-orbit interaction and the binding energy is studied. According to the obtained results, it is found that the binding energy increases with increasing pressure. The level splitting due to the spin-orbit interaction increases by increasing pressure. The splitting decreases with increasing pseudodot size. The change of spin-orbit interaction energy for a GaAs quantum pseudo-dot is very small due to the pressure even at very low temperature.