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 Al_0.3Ga_0.7As as an example. Results obtained by changing dimensions and applying external electric field have significant effect on optical tailoring of quantum disk.