Semi-Phenomenological Analysis of Dynamics of Nonlinear Excitations in One-Dimensional Electron-Phonon System

概要

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The structure of moving nonlinear excitations in one-dimensional electron-phonon systems isstudied semi-phenomenologically by vtsing an effective action in which the width of the nonlinearexcitation is treated as a dynamical variable. The effective action can be derived from Su,Schriefler and Heeger's model or its continuum version proposed by Takayama, Lirr-Liu andMaki with an assumption tlrat the nonlinear excitation moves uniformly witltout any deformationexcept the change of its width. The form of the action is essentially the same as that discussedby Bishop and coworkers in studying the dynamics of the soliton in polyacetylene, though somedetails are different. For the moving excitation with a velocity v, the width is determined byminimizing the effective action. A requirement that there must be a minimum in the action asa function of its width provides a maximum velocity. The velocity dependence of the width andenergy can be determined. The motions of a soliton in polyacetylerne and an acoustic polaron inpolydiacetylene are studied witlain this formulation. The obtained results au'e in good agreementwith those of numerical simulations.
社団法人日本物理学会の論文
1996-04-15