Binding Energy Of Donors And Ground State Of A Polaron In Symmetric Triangular Quantum Wells

In this paper, we have studied the binding energies of donors and the ground state energies of a polaron in a symmetric triangular quantum well. Firstly, hydrogen-like donor impurity states in symmetric triangular quantum wells are investigated by a variational method. Both the effect of the variable effective mass of an electron and the spatially dependent dielectric constant are considered in the calculation. The numerical results show that the binding energy depends on not only the effective mass and dielectric constant but also the spatial distribution of the electron probability density. The binding energies of the donor impurity states get the maximums at the well-center. The results are also compared with those obtained in parabolic and square wells. It is seen that the triangular well support the highest binding energies for the donor impurity states. Then, the effect of the electron-phonon interaction on the electron ground state in a symmetric triangular quantum well has been studied. The ground state energy of an electron in the GaAs/Al0.96Ga0.04As triangular quantum well including the effect of the interaction between the electron and LO phonons has been calculated by using a modified Lee-Low-Pines Variational method. The electron wave function in the triangular well is chosen as the Airy function. The numerical results are given and discussed.