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Effects of the Bond-Bending Term and e-e Interactions on the 2D Localized Modes Around a Polaron in Trans-Polyacetylene

The 2D localized modes of trans- around a polaron have been studied using a two-dimensional extension of the SSH model that includes the bond-bending effect and the electron-electron interactions. The results show that 1) a number of additional localized modes have been found, which depend on the bond-bending term; 2) the number of localized modes does not change after turning on the e-e interactions, but their frequencies have been moved and the localization has been strengthened.