Magnetic Field Influence on the Polarisability of Donors in Quantum Crystallites

Abstract

The effect of a magnetic field on the electrical polarisability of a shallow donor placed at the centre of a semiconductor spherical microcrystallite is studied in the framework of the effective mass approximation and using a variational approach. Variations of the polarisability of the system versus the crystallite radius and magnetic field strength are analysed in the infinite confinement potential case.

Magnetic field and finite barrier-height effects on the polarizability of a shallow donor in a GaAs quantum wire

“…Zhigang et al [20] have calculated the binding energy of the ground state of a hydrogenic donor in a cylindrical wire in the presence of a magnetic field applied parallel to the wire axis as a function of the wire radius and magnetic field intensity. The effect of magnetic field on the polarizability of a shallow donor in QD has been analysed by Feddi et al [21] using an infinite confinement potential case.…”

Effect of charge carrier–phonon coupling on the energy of shallow donors in CdSe quantum dots

“…(14), we use Hassé's variational method [33] adapted to SQDs in our previous works [13,14]. The trial wave function is given by the following expression:…”

“…Indeed, in a confined medium the electric field leads to a quantum confined Stark effect [9][10][11][12] characterized by a red shift many times greater than the electron-hole binding energy. In our previous works [13,14], using a variational approach and neglecting the polaronic effect, we have studied the simultaneous effects of magnetic and electric fields on the binding energy of a donor confined in an infinite potential. We have shown that the magnetic field reduces the spatial extension of the wave function and leads to a decrease of the donor polarizability.…”

Magnetic field effect on the polarizability of bound polarons in quantum nanocrystallites

“…Indeed, in a confined medium, the electric field leads to a quantum confined Stark effect 9-12 characterized by a redshift, many times greater than the electron-hole binding energy. In our previous works, 13,14 by using a variational approach and neglecting the polaronic effect, we have studied the simultaneous effects of magnetic and electric fields on the binding energy of a donor confined in an infinite potential. We have shown that the magnetic field reduces the spatial extension of the wave function and leads to a decrease of the donor polarizability.…”