Donor in cylindrical quantum well wire under the action of an applied magnetic field

• Published in: Physica. E, Low-dimensional systems & nanostructures Vol. 42; no. 9; pp. 2436 - 2440
• Main Author: Villamil, Pablo
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.07.2010
• Subjects: Binding energy; Hydrogenic donor impurity; Quantum well wires; Hydrogenic donor impurity; Binding energy; Quantum well wires
• ISSN: 1386-9477; 1873-1759
• DOI: 10.1016/j.physe.2010.06.001

In this paper we present a calculation of the binding energy of a donor impurity in a cylindrical GaAs-Ga 0.6Al 0.4As quantum well wire (QWW) as a function of an applied magnetic field for different wire radii and different positions of the donor. The model considers an infinite length QWW with a carrier that is confined laterally by a parabolic potential and the presence of a uniform magnetic field applied parallel to the wire axis. The 1s-like impurity state is considered using the effective-mass approximation within the variational approach. We found that for a given wire radius the binding energy of the impurity increases with the magnetic field and that for a given magnetic field value it decreases with wire radius. Our results are in good agreement with previous theoretical reports.