Optical properties of donor impurity in Yukawa like potential: application to SiGe/Si and Si/SiGe

We have investigated the effect of temperature and geometrical confinement on the behavior of spherical cavities with Yukawa potential presence inside the cavity within effective mass approximation. Using the Finite-element method, we have calculated the energy eigenvalue with the geometric and temperature effects into consideration with consideration of temperature and position-dependent mass, and position-dependent dielectric constant. The optical transition from the ground to the excited state shows a blueshift in optical absorption coefficient, refractive index changes, and second and third harmonic generation with an increase in temperature. The increase in the geometric size of the spherical cavity causes a redshift in the optical resonance peaks.