Regular Rather than Chaotic Origin of the Resonant Transport in Superlattices

Abstract

We address the enhancement of electron drift in semiconductor superlattices of nanometre scale that occurs in combined electric and tilted magnetic fields if Bloch oscillations become resonant with cyclotron rotation in the transverse plane. We uncover the true dynamical mechanism of the phenomenon: the electron dynamics at relevant time-scales is regular or almost regular, contrary to the widespread belief that the enhancement arises through chaotic diffusion between collisions. The theory provides an accurate description of earlier numerical simulations, predicts new remarkable features verified by simulations, and suggests new ways of controlling resonant transport.

6 pages of the main Letter and 23 pages of the Supplementary Material

References in corpus (4)

• Bifurcations and chaos in semiconductor superlattices with a tilted magnetic field
• Controlling high-frequency collective electron dynamics via single-particle complexity
• Regular Rather than Chaotic Origin of the Resonant Transport in Superlattices
• Using dynamical barriers to control the transmission of light through slowly-varying photonic crystals

Cited by in corpus (5)

• Stochastic approach for assessing the predictability of chaotic time series using reservoir computing
• Regular Rather than Chaotic Origin of the Resonant Transport in Superlattices
• Mechanism of the Resonant Enhancement of Electron Drift in Nanometre Semiconductor Superlattices Subjected to Electric and Inclined Magnetic Fields
• Two dimensional collective electron magnetotransport, oscillations and chaos in a semiconductor superlattice
• Ultrafast strain-induced charge transport in semiconductor superlattices