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

Abstract

Time periodic patterns in a semiconductor superlattice, relevant to microwave generation, are obtained upon numerical integration of a known set of drift-diffusion equations. The associated spatio-temporal transport mechanisms are uncovered by applying (to the computed data) two recent data processing tools, known as the higher order dynamic mode decomposition and the spatio-temporal Koopman decomposition. Outcomes include a clear identification of the asymptotic self-sustained oscillations of the current density (isolated from the transient dynamics) and an accurate description of the electric field traveling pulse in terms of its dispersion diagram. In addition, a preliminary version of a novel data-driven reduced order model is constructed, which allows for extremely fast online simulations of the system response over a range of different configurations.

42 pages, 21 figures, preprint version

References in corpus (5)

• Controlling high-frequency collective electron dynamics via single-particle complexity
• Generalized drift-diffusion model for miniband superlattices
• Noise-enhanced chaos in a weakly coupled GaAs/(Al,Ga)As superlattice
• Designing hyperchaos and intermittency in semiconductor superlattices
• Two dimensional collective electron magnetotransport, oscillations and chaos in a semiconductor superlattice