Dynamics of a Fractionally Charged Soliton in a One-Dimensional Electron-Lattice System
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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, Su-Schrieffer-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. The saturation of the soliton velocity is not clearly seen as in the case of the polyacetylene, because the soliton velocity oscillates with time presumably due to the excitation of phase mode. The same oscillation makes the velocity-energy correlation obscure, and therefore it is not possible to derive a unique relation between the total energy and the soliton velocity. Oscillatory behavior of various quantities are discussed in connection to the excitations of linear modes.
- 理論物理学刊行会の論文
- 1993-10-20
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