Classical Particlelike Behavior of Sine-Gordon Solitons in Scattering Potentials and Applied Fields

M. B. Fogel; S. E. Trullinger; A. R. Bishop; J. A. Krumhansl

doi:10.1103/PhysRevLett.36.1411

Classical Particlelike Behavior of Sine-Gordon Solitons in Scattering Potentials and Applied Fields

M. B. Fogel, S. E. Trullinger, A. R. Bishop, and J. A. Krumhansl

Phys. Rev. Lett. 36, 1411 – Published 14 June 1976; Erratum Phys. Rev. Lett. 37, 314 (1976)

Abstract

We show that classical sine-Gordon solitons maintain their integrity to a high degree in the presence of external perturbations. Two examples, of particular importance in condensed matter, are described in detail: (i) A model impurity is found to bind low-velocity solitons but merely phase shift those with high velocities, and (ii) external static driving terms with damping accelerate the soliton to a terminal velocity. The importance of a translation mode is emphasized and it is concluded that the soliton behaves as a classical particle in all essential respects.