Simple measoscopic dimensional approach to exciton properties in a quantum well under an applied electric field

摘要

A simple method to describe the electric-feid 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-dimensioonal system. The scale factor that implies the dimensionality of the system is obtained from the preintmated 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.