Ground- and first-excited state energies of impurity magnetopolaron in an anisotropic quantum dot

Abstract

The polaronic effect on the low-lying energy levels of an electron bound to a hydrogenic impurity in a three-dimensional (3D) anisotropic harmonic potential subjected to a uniform magnetic field is investigated by introducing a trial wave function constructed as a direct product form of an electronic part and a part of coherent phonons. Binding energies of impurity magnetopolarons corresponding to each level are analyzed in terms of the effects of both quantum confinement and magnetic field. Furthermore, a detailed discussion of the effects due to the electron--LO-phonon interaction and the effects of both magnetic field and quantum confinements on cyclotron masses asssociated with the transitions between ground and first-excited states of the bound electron is also given in this paper. Our results show that the polaron effect arising from the electron--LO-phonon interaction and confining effects together with the effect of magnetic field have a great influence on the impurity binding energies and on cyclotron masses associated with transitions between the relevant states.