Abstract
A theory of large polarons in ellipsoidal quantum dots is developed. The optical spectrum of polaron excitons and its dependence on the degree of anisotropy of a quantum dot are analyzed. It is shown that the polaron ground state exhibits specific anisotropic polarization of the medium. The symmetry of the wave function of the ground state depends on the band structure of the material and on the shape of the quantum dot. The conditions under which strong polarization of the zero-phonon emission line produced by interband optical transitions occurs are determined. The possible polarization of this line is determined for various relationships between the polaron energy and the energy of the exchange interaction.
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