2-DIMENSIONAL AND 3-DIMENSIONAL POLARONS IN A SYMMETRICAL QUANTUM-DOTWITH ARBITRARY ELECTRON-PHONON COUPLING STRENGTH

A variational approach is presented for calculating the ground-state e nergy of two-and three-dimensional polarons in symmetric quantum dots with arbitrary electron-phonon coupling constants. It is found that th e polaronic energy correction increases with the decrease in size of t he quantum dot and is much more pronounced with decreasing dimensional ity. Furthermore, the relative polaronic enhancement is found to be in sensitive to the variation of the dimensionality and the coupling cons tant at weak coupling, however, as the coupling constant increases, it comes to depend on not only the dimensionality, but the coupling cons tant as well. (C) 1998 Published by Elsevier Science B.V.