Construction of the Pauli potential for semiconductor quantum wells and superlattices

✍ Scribed by K. Unger

• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 246 KB
• Volume: 10
• Category: Article
• ISSN: 0749-6036
• DOI: 10.1016/0749-6036(91)90237-l

✦ Synopsis

The usual approach to get the electron density n(F) for a model system of 2 N non-interacting particles is to,solve N wave equations for a self-consistent potential V(r) and summing up N wave function moduli. A modern wav to attain a direct solution of n(?', without recourse to*N wave functions is to solve a wave equation only for the ground state, but to add to the potential V(T) a so-called Pauli potential VP(?) which simulates the effect of the Pauli-exclusion principle. For onedimensional problems as occurring in quantum wells and superlattices an explicit exact expression for the Pauli potential is derived and applied to illustrative examples. The extension to three-dimensional problems is discussed.