Influence of Deformation on the Energy and Optical Absorption Spectra of Fullerene C20 within the Hubbard Model

Abstract

Abstract—Anticommutator Green’s functions and energy spectra of fullerene C₂₀ with the I_h, D_5d, and D_3d symmetry groups have been obtained in an analytical form within the Hubbard model and static fluctuation approximation. The energy states have been classified using the methods of group theory, and the allowed transitions in the energy spectra of fullerene C₂₀ with the I_h, D_5d, and D_3d symmetry groups have been determined. It is also shown how the energy levels of fullerene C₂₀ with the I_h symmetry group are split with the symmetry reduction.