Effect of band nonparabolicity on electron energies of a quantum disk in presence of electric field

In this paper, electron energies of a heterostructure quantum disk with cylindrical geometry is numerically computed considering both parabolic and nonparabolic band structure in presence of electric field applied along the axis. Time-independent Schrödinger equation is solved with appropriate boundary conditions, and first and second-order Bessel functions are considered for computation of energy subbands. Three lowest confinement states are plotted with radius and thickness, independently considering Al0.3Ga0.7As as an example. Results obtained by changing dimensions and applying external electric field have significant effect on optical tailoring of quantum disk.