Density of electronic states in impurity-doped quantum well wires

✍ Scribed by J. Sierra-Ortega; I.D. Mikhailov; F.J. Betancur

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 353 KB
• Volume: 348
• Category: Article
• ISSN: 0921-4526
• DOI: 10.1016/j.physb.2003.11.072

✦ Synopsis

We analyze the electronic states in the cylindrical quantum well-wire (QWW) with randomly distributed neutral, D 0 and negatively charged D À donors. In order to calculate the ground state energies of the off-center donors D 0 and D À as a function of the distance from the axis of QWW we use the recently developed fractal dimension method in which the problems are reduced to a similar one for a hydrogen-like atom and a negative-hydrogen-like ion respectively, in an isotropic effective space with variable fractional dimension. The numerical trigonometric sweep method and the threeparameter Hylleraas trial function are used to solve these problems. We present a novel curves for the density of impurity states in a cylindrical QWWs with square-well, parabolic and soft-edge barrier potentials. Additionally we analyze the effect of the repulsive core on the density of the impurity states.