Abstract
The motion of charged solitons in spin-density-wave systems is numerically studied using the one-dimensional Hubbard model. The motion is induced by an electric filed, which is introduced into the model in terms of a time-dependent vector potential. Use is made of the time-dependent Hartree-Fock approximation, which reduces to the random-phase approximation in the small-amplitude fluctuation limit. Several interesting properties of the moving soliton are obtained. There is a maximum velocity above which the soliton cannot propagate. The maximum velocity is slightly lower than the Fermi velocity. As the soliton approaches the maximum velocity, it gets a remarkable contraction in its width and, in addition, emits longitudinal spin waves behind itself. The behavior of the energy is also studied. The effective mass of the soliton is also calculated.
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