Eur. Phys. J. B 12, 347-350 (1999)
https://doi.org/10.1007/s100510051015

Polaronic effects on the energy levels of a double donor impurity in quantum wells in the presence of a magnetic field

¹ Department of Physics, Henan Normal University, Xinxiang 453002, PR China
² Department of Applied Physics, Beijing Polytechnic University, Beijing 100022, PR China
³ Department of Physics, Sichuan University, Chengdu 610064, PR China

Corresponding author: ^a dphnu@public.zz.ha.cn

Received: 16 February 1999
Published online: 15 December 1999

Abstract

In the presence of a magnetic field the Hamiltonian of the single or double polaron bound to a helium-type donor impurity in semiconductor quantum wells (QWs) are given in the case of positively charged donor center and neutral donor center. The couplings of an electron and the impurity with various phonon modes are considered. The binding energy of the single and double bound polaron in AlGaAs/GaAs/AlGaAs QWs are calculated. The results show that for a thin well the cumulative effects of the electron-phonon coupling and the impurity-phonon coupling can contribute appreciably to the binding energy in the case of ionized donor. In the case of neutral donor the contribution of polaronic effects are not very important, however the magnetic field significantly modifies the binding energy of the double donor. The comparison between the binding energies in the case of the impurity placed at the quantum well center and at the quantum well edge is also given.