Finite-Barrier Height Effect on the Polarizability of a Shallow Magneto-Donor in a Quantum Box

Abstract

PACS: 73.21.La; 73.21.Hb The polarizability is estimated for a shallow donor confined to move in a quantum box (QB) with a uniform magnetic field. In this work, the Hass variational method within the effective mass approximation is used in the case of an infinite and a finite barrier potential. We present our results as a function of the size of the box and the intensity of the magnetic field. It is found, that the polarizabilities decrease with decreasing size of the box, reach a minimum value at a certain value of the cross section of the box and increase again when the section becomes significantly smaller. For a higher and larger box, the effects of the magnetic field are predominant. The finite barrier-height effect is important for higher fields and large box. The numerical results are presented for a box made out of GaAs.

Binding energy of a hydrogenic donor impurity in a rectangular parallelepiped-shaped quantum dot: Quantum confinement and Stark effects

“…18 The polarizability was estimated by Messaoudi et al for a shallow donor confined to move in a QD with a uniform magnetic field using the Hass variational method in the case of an infinite and a finite barrier potential. 19 It was found that the finite barrier-height effect was important for high fields and large QDs.…”

Intense field effects on shallow donor impurities in graded quantum wells

“…Osorio et al [21] have presented the electric field direction dependence of the binding energy and the polarizability of donor impurities in GaAs-GaAlAs quantum wires. El Messaoudi et al have reported on the polarizability of a magneto-donor in a quantum box [22] and quantum wire [23].…”