Abstract
The ground state of bound polaron in a weakly prolate ellipsoidal quantum dot in the presence of an external electric field has been calculated within the effective-mass approximation by using a variational method in the framework of perturbation theory. A Fröhlich-like electron-phonon interaction Hamiltonian which accounts for the longitudinal optical (LO) and transverse optical (TO) polarizations mixing due to the anisotropy is used in the calculation. The binding energy of the bound polaron is calculated by taking the electron couples with both branches of LO-like and TO-like phonons. The interaction between impurity and phonons has also been considered. The results show that the influence of phonons is dependent strongly upon the dot shape and the anisotropy effects of wurtzite crystals, and the influence of electric field is obvious only for the large quantum dot size. The TO-like phonon contribution to the binding energy is positive, but the contribution of LO-like phonon is negative and more important than TO-like phonon.
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