Effects of the temperature and pressure on the electronic and optical properties of an exciton in GaAs/Ga 1−x Al x As quantum ring

Abstract Using a variational approach, we have calculated the binding energies ( E 1 s , 2 s b ) and interband emission energy ( E p h ) of an exciton confined in G a A s / G a 1 − x A l x A s quantum rings (QRs) structures under effects of the temperature and pressure, in the effective mass approximation. We have taken into consideration the difference in the effective masses of the charge carriers in two materials, well and barrier. The results that we have obtained show clearly that E 1 s , 2 s b and E p h are influenced by the structure geometries of QR (height H , radial thickness Δ R and potential barrier), the temperature and pressure. Indeed, with a smaller geometric parameter, E 1 s , 2 s b and E p h become higher due to the improvement in confinement of the charge carriers. We have also observed that for a given value of the temperature, the pressure leads to an increasing of the E 1 s , 2 s b and E p h , and the latter quantities are decreasing with temperature. In addition, these variations of the E 1 s , 2 s b and E p h under the external perturbations are more remarkable in small H for fixed Δ R , and for larger Δ R for a given value of the H , because for the choice of a finite height of the barrier in the z direction and an infinite confinement in ρ direction.