J. Martorell et Dwl. Sprung, DETERMINATION OF THE ELECTRON-DENSITY IN GAAS ALXGA1-XAS HETEROSTRUCTURES, Physical review. B, Condensed matter, 49(19), 1994, pp. 13750-13759
An optimized self-consistent method for determination of the quantal e
lectron density is presented. It is applied, in the zero-temperature c
ase, to devices with either partial or full donor ionization. A Thomas
-Fermi approximation for the T = 0 limit is developed and shown to be
appropriate for systematic studies of the two-dimensional electron den
sity, sigma-. A suitable linear approximation is found that provides s
imple and accurate analytic expressions for sigma- in terms of the phy
sical parameters of the device.