ABSTRACT
A simple method to describe the electric-field dependent exciton properties in a quantum-well system has been proposed. A mesoscopic dimensional space is defined to satisfy the excitonic virial theorem at any point, and can be described using only one scale factor corresponding not only to the well width but also to the applied electric field in a quasi two-dimensional system. The scale factor that implies the dimensionality of the system is obtained from the preintimated information of confined states for conduction-band and valence-band wells. This preintimated information is essential in the analysis of the quantum-well system, and has independent importance together with the properties of an exciton such as binding energies, orbital radii, and oscillator strengths. We used the multistep-potential tunneling-resonance method, and considered the band-nonparabolicity effect on the quantized states of a quantum-well system when solving the Schrödinger equations of individual electrons and holes. A GaAs/AlxGa1-xAs quantum-well structure is analyzed and the results of our calculations are compared to those from very sophisticated methods reported previously. Excellent agreement is shown.
