Pendulum limit, chaos and phase-locking in the dynamics of ac-driven semiconductor superlattices

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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8 pages, no figures. Version2 is strongly revised: new physics, more references. 3 appendixes of this Eprint are absent in the

Scientific paper

10.1016/S0375-9601(02)01420-2

We describe a limiting case when nonlinear dynamics of an ac-driven semiconductor superlattice in the miniband transport regime is governed by a periodically forced and damped pendulum. We find analytically the conditions for a transition to chaos and consider an influence of temperature on the effect. We also discuss fractional dc voltage states in a superlattice originating from phase-locked states of the pendulum.

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