Effects of Dissipation and Noise on Chaotic Transport in Superlattices

Abstract

We study the effects of dissipation and noise on chaotic electron dynamics, which accompany charge transport in semiconductor superlattices with an applied bias voltage and a tilted magnetic field. We consider the evolution of different chaotic trajectories as decoherence increases, and show that below a critical level of the dissipation rate, dissipative chaos plays an important role in the electron transport. However, by increasing the dissipation rate above the critical level, chaotic dynamics disappear and electrons only demonstrate regular motion. We also investigate how the presence of random fluctuations affects magnetotransport in superlattices and reveal a counter-intuitive non-monotonic dependence of electron drift velocity upon the noise intensity.

Non-KAM classical chaos topology for electrons in superlattice minibands determines the inter-well quantum transition rates

“…Another topic of practical importance is the effect of disorder on the quantum-classical correspondence. Previously, within a semi-classical picture, we found that although low-amplitude noise has almost no effect on electron diffusion in our system, moderate noise can produce non-trivial phenomena including the enhancement electron mobility 40 . However, there has not been a comprehensive study of these phenomena from a classical perspective, and, to our knowledge, they have not been studied within the quantum realm.…”