Absorption coefficient and refractive index changes of a lens-shaped quantum dot: Rashba and Dresselhaus spin-orbit interactions under external fields

Tools of mathematical modeling provide a great opportunity in order to investigate semiconductor nanostructures with a conclusive objective of predicting their behavior and understanding of their limits. While most numerical and analytical investigations deal with the pure Rashba interaction, this article will study the absorption coefficient and refractive index changes of a lens-shaped GaAs quantum dot in the presence of simultaneous Rashba and Dresselhaus spin-orbit couplings under the effects of applied electric and magnetic fields. It is shown that applying magnetic field, in the presence of spin-orbit interactions, removes the degeneracy and split the energy levels into two branches and by enhancing the field, absorption coefficient and refractive index changes related to transition between the ground and second excited states (E31) move towards lower photon energies (red shift). It is also revealed that by increasing the applied electric field a blue shift in optical curves can be detected.