The effect of the image potential on the binding energy of hydrogenic impurities in semiconductor quantum wells

Abstract

The authors report the results of a variational calculation of the binding energy of shallow donors in quantum wells along with the effects of the image potential.

Effect of the image potential on the binding energy of excitons in semiconductor quantum wells

“…In conclusion we note, that the image potential effects on the excitonic properties are weak for systems with small dserencies of the background dielectric constant, especially for the system GaAs-Ga,-,AI,As. This is in agreement with recent calculations of the hydrogenic donor binding energy (Wendler and Hartwig 1990). But our calculations show, that it is necessary to include both image parts, the mutual and the self-image parts.…”

The bound polaron in a cylindrical quantum well wire with a finite confining potential

“…It is found that, for a quantum wire with dielectric discontinuity, the hole-acceptor attraction potential has a non-Coulombic form [22,26]. However, Wendler and Hartwig [27] studied the effect of the image potential on the binding energy of hydrogenic impurities in semiconductor quantum wells. They found that, when all image contributions (the mutual image potential between the hydrogenic impurity and the electron and the self-image potentials of the two particles) are taken into consideration, the image potential effects on the hydrogenic donor binding energy will be weak for donor positions in the centre of the quantum well.…”

Dynamical Image Forces near Semiconductor-Vacuum Interfaces and in Vacuum Interlayers between Semiconductors

“…13 but for the v-motion case and various electron kinetic energies E 0 at least checked. As an example, one can mention calculations of electronic levels in semiconductor quantum superlattices [80,82,87,99,100] or metal-insulator-semiconductor structures [79,95], as well as impurity energy levels [82,84]. Tunnel currents in layered structures [135][136][137][138] should be investigated (see also Refs.…”

“…In this case not only the plasmon excitations [33,69,70] but also polar phonons are involved [33,[36][37][38][39][40][41]. It should be stressed that even in the static limit the energy W does not diverge at the interface [15,17,60,[71][72][73][74][75], contrary to the still unequivocally used classical expressions which can be sometimes found in literature [69,[76][77][78][79][80][81][82][83][84][85][86][87].…”