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

Abstract

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.

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

References in corpus (2)

• Symmetry-breaking and chaos in electron transport in semiconductor superlattices
• Fractional and unquantized dc voltage generation in THz-driven semiconductor superlattices

Cited by in corpus (6)

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• Intrinsic Photoconductivity of Ultracold Fermions in Optical Lattices
• Quasiperiodicity and suppression of multistability in nonlinear dynamical systems
• Symmetry breaking in driven and strongly damped pendulum
• Stability properties of periodically driven overdamped pendula and their implications to physics of semiconductor superlattices and Josephson junctions
• Rectification of THz-radiation in semiconductor superlattices in the absence of domains