Non-linear optical properties of nanoscale elliptical ring-shaped at the presence of Rashba spin–orbit interaction and magnetic field

The significant information about the properties of matter can be described with the interaction between light and matter. On this subject, the effect of the applied magnetic field and structural variation on the optical properties of elliptical and circular GaAs quantum rings at the existence of Rashba spin–orbit interaction (RSOI) have been investigated. The effective mass equation for the system containing RSOI and magnetic flux has been solved in cylindrical coordinate with Matrix Diagonalization method for circular quantum ring and with finite difference method for elliptical quantum ring. Also, the linear and third-order nonlinear optical absorption coefficient (AC) and refractive index changes (RIC) are calculated by density matrix. According to the consequence, the geometry of quantum structure plays a significant role in specifying the AC and RIC which provide the methods for fabricating effective application.