Abstract
Dynamical process of the formation of nonlinear excitations such as charged or neutral solitons from a photogenerated electron-hole pair in polyacetylene is studied numerically, based on Su-Schrieffer-Heeger's model extended to involve on-site as well as nearest-neighbor electron-electron Coulomb repulsion terms. The electron-electron interactions are treated within the time-dependent unrestricted Hartree-Fock approximation. Lattice fluctuations and a weak local disorder are introduced in order to trigger the formation and to represent many different initial conditions. Starting from an initial configuration with an electron at the bottom of the conduction band and a hole at the top of the valence band, separated by the Peierls gap, the time dependent Schrodinger equation for the electron wave functions and the equation of motion for the lattice displacements are solved numerically. It is not systematic but rather stochastic whether nonlinear excitations are created or not. We have obtained branching rati...
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