Abstract: A Bargmann representation for boson operators combined with diagrammatic valence bond theory allows the solution of correlated electron-phonon systems on finite clusters for phonons of arbitrary frequency. The method is applied to a model for the neutral-ionic transition for mixed-stack donor-acceptor compounds on rings of up to ten sites. The influence of phonon nonadiabaticity on excitation energies, ionicity, phonon occupation numbers and potential and kinetic energies are discussed.
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