Abstract
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 surface optical (SO) phonon modes in a 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 phonon 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 shift was very significant and was even dominant when the thickness is small.
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