Quasiperiodic time dependent current in driven superlattices: distorted Poincare maps and strange attractors

Abstract

Intriguing routes to chaos have been experimentally observed in semiconductor superlattices driven by an ac field. In this work, a theoretical model of time dependent transport in ac driven superlattices is numerically solved. In agreement with experiments, distorted Poincare maps in the quasiperiodic regime are found. They indicate the appearance of very complex attractors and routes to chaos as the amplitude of the AC signal increases. Distorted maps are caused by the discrete well-to-well jump motion of a domain wall during spiky high-frequency self-sustained oscillations of the current.

10 pages, 4 figures

References in corpus (2)

• Microscopic derivation of transport coefficients and boundary conditions in discrete drift-diffusion models of weakly coupled superlattices
• Current self-oscillations, spikes and crossover between charge monopole and dipole waves in semiconductor superlattices

Cited by in corpus (9)

• Photon-assisted transport in semiconductor nanostructures
• Chaotic front dynamics in semiconductor superlattices
• Signatures of a 4$\pi$-periodic supercurrent in the voltage response of capacitively shunted topological Josephson junctions
• Limit cycle induced frequency locking in self-sustained current oscillations of superlattices
• Quasiperiodicity and suppression of multistability in nonlinear dynamical systems
• Multiquantum well spin oscillator
• Interplay between resonant tunneling and spin precession oscillations in all-electric all-semiconductor spin transistors
• High-Frequency Impedance of Driven Superlattices
• Photoassisted dynamical transport in multiple quantum wells