EFFECTS OF THE HUBBARD INTERACTIONS AND ELECTROSTATIC PINNING ON THE 2D LOCALIZED MODES OF TRANS-(CH)_x AROUND A SOLITON

The electron-lattice coupling vibrational modes are calculated using a two-dimensional ex-tension of the Su-Schrieffet-Heeger model that includes the bond-bending term, the electron-electron interactions and the electrostatic pianing for doped samples, The result shows that all ten localized modes exist after turning on the e-e interactions and doped pinning effects, but their localizations has been strengthened and the frequencies have been moved slightly.