Abstract
The behaviour of a moving soliton in polyacetylene is numerically studied from the first principle by using Su-Schrieffer-Heeger's (SSH) model. The motion is introduced by applying an electric field to a system with a static charged soliton. The time dependences of the electronic wave functions and the lattice displacements are determined selfconsistently. The electric field is given in terms of a time dependent vector potential, and therefore the periodic boundary condition can be maintained.
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