Construction of the Pauli potential for semiconductor quantum wells and superlattices
Abstract
The usual approach to get the electron density n( overliner) for a model system of 2 N noninteracting particles is to solve N wave equations for a selfconsistent potential V( overliner) and summing up N wave function moduli. A modern way to attain a direct solution of n( overliner) without recourse to N wave functions is to solve a wave equation only for the ground state, but to add to the potential V( overliner) a socalled Pauli potential Vp( overliner) which simulates the effect of the Pauliexclusion 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 threedimensional problems is discussed.
 Publication:

Superlattices and Microstructures
 Pub Date:
 1991
 DOI:
 10.1016/07496036(91)90237L
 Bibcode:
 1991SuMi...10..235U