Abstract

Dynamics of a fractionally charged soliton in a nearly 1/3-filled one-dimensional electron- lattice system is numerically investigated with recently developed simulation method of accelerating charged solitons by an external electric field. For the Hamiltonian, SuSchrieffer-Heeger's model is assumed. A soliton with −2e/3 charge is treated; the numbers of lattice sites and electrons are chosen to be 119 and 80, respectively. The time dependences of the soliton velocity and of the different parts of the system energy are analyzed. The soliton dynamics is studied by decomposing the space-dependent Peierls order parameter into phase and amplitude

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