POLARON IN A QUANTUM DISK

The eigenwavefunction and eigenenergy of an electron in a quantum disk and the polaronic correction to its energy levels are investigated in the present work. Both the bulk longitudinal-optical (LO) and the sur face optical (SO) phonon modes ina slab are adopted in considering the interaction between an electron and a phonon in the quantum disk. The second-order energy levels correction due to either mode of the phono n have been derived as a function of the disk radius and its thickness . The numerical computation for the GaAs quantum disk have shown that the energy correction by SO phonon for the total polaronic energy shif t was very significant and was even dominant when the thickness is sma ll. (C) 1998 Elsevier Science B.V. All rights reserved.