Spin-Orbit Interaction in a Spherical Quantum Dot

I.F.I. Mikhail, I.M.M. Ismail and M.M. El Shafee Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt

Received: May 30, 2013; In final form: December 30, 2013

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The conventional spin-orbit interaction due to the presence of an off-center impurity located in a spherical quantum dot of finite confining potential has been investigated. The different effective masses of dot and barrier are taken into consideration. The spin-orbit interaction has been calculated in the excited state (2p). The variational method has been applied by using a new form of the trial wave function in addition to the conventional form that has been used in previous work. The new form has the advantage of satisfying the boundary conditions at the interface between dot and barrier in the case of different masses. It has been shown that the spin-orbit interaction takes its highest value when the impurity is located in the vicinity of the position at which the radial electron probability takes its maximum value. The corresponding results of a central impurity has been investigated as the limiting case when the impurity radial coordinate tends to zero. The case of central impurity has been further explored by using the exact solution in the state (2p) of the radial Schrödinger equation in the presence of the impurity.

DOI: 10.12693/APhysPolA.125.1197 PACS numbers: 71.55.-i, 71.70.Ej, 73.21.La, 75.70.Tj