Two dimensional collective electron magnetotransport, oscillations and chaos in a semiconductor superlattice

Abstract

When quantized, traces of classically chaotic single particle systems include eigenvalue statistics and scars in eigenfuntions. Since 2001, many theoretical and experimental works have argued that classically chaotic single electron dynamics influences and controls collective electron transport. For transport in semiconductor superlattices under tilted magnetic and electric fields, these theories rely on a reduction to a one-dimensional self-consistent drift model. A two-dimensional theory based on self-consistent Boltzmann transport does not support that single electron chaos influences collective transport. This theory agrees with existing experimental evidence of current self-oscillations, predicts spontaneous collective chaos via a period doubling scenario and it could be tested unambiguously by measuring the electric potential inside the superlattice under a tilted magnetic field.

10 pages, 6 figures, PRE

References in corpus (4)

• Controlling high-frequency collective electron dynamics via single-particle complexity
• Generalized drift-diffusion model for miniband superlattices
• Regular Rather than Chaotic Origin of the Resonant Transport in Superlattices
• Enhancing Chaotic Behavior at room temperature in GaAs/(Al,Ga)As Superlattices

Cited by in corpus (1)

• Uncovering spatio-temporal patterns in semiconductor superlattices by efficient data processing tools