The effect of Rashba spin-orbit interaction on electronic and optical properties of a double ring-shaped quantum dot

In this work, we analytically study the effects of the Rashba spin-orbit interaction (SOI) and magnetic field on energy levels and optical properties of a double ring-shaped quantum dot. For this purpose, we first solve the Schrödinger equation and obtain the energy eigenvalues and the wave functions. Then, we use analytical expressions for optical properties obtained by the compact-density matrix formalism. We calculate the total refractive index change and total absorption in the presence of applied magnetic field and Rashba SOI. It is found that the energy levels strongly depend on the combined effects of the Rashba SOI and the applied magnetic field. The energy levels split into two branches, spin-up and spin-down states, due to the Rashba spin-obit interaction. The peak positions of both optical properties shift towards higher energies with increasing the magnetic field and Rashba parameter.