Use of modified Gaussian potential to study an exciton in a spherical quantum dot

In the present work, we have considered an exciton confined in a spherical quantum dot with the modified Gaussian potential (A. Gharaati, R. Khordad, Superlatt. Microstruct. 48 (2010) 276). We have tried to study the electronic and optical properties of the system by using the numerical diagonalization of the Hamiltonian matrix. For this purpose, we have calculated the binding energy of the ground and first excited states as a function of the quantum dot radius. We have also computed the linear, nonlinear and total absorption coefficient between the ground and the first excited states. It is found that the quantum dot radius has an important role on the binding energy and absorption coefficient.

► We have considered an exciton confined in a quantum dot with the modified Gaussian potential.
► We have tried to study the electronic and optical properties of the system.
► We have used the numerical diagonalization of the Hamiltonian matrix.
► We have calculated the binding energy of the ground and first excited states as a function of the quantum dot radius.
► We have also computed the linear, nonlinear and total absorption coefficient.