Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices

Luis L. Bonilla; Manuel Kindelan; Miguel Moscoso; Stephanos Venakides

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Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices

Luis L. Bonilla·Manuel Kindelan·Miguel Moscoso·Stephanos Venakides

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Abstract

The continuum limit of a recently-proposed model for charge transport in resonant-tunneling semiconductor superlattices is analyzed. It is described by a nonlinear hyperbolic integrodifferential equation on a one-dimensional spatial support, supplemented by shock and entropy conditions. For appropriate parameter values, a time-periodic solution is found in numerical simulations of the model. An asymptotic theory shows that the time-periodic solution is due to recycling and motion of shock waves representing domain walls connecting regions of the superlattice where the electric field is almost uniform.

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Luis L. Bonilla, Manuel Kindelan, Miguel Moscoso, Stephanos Venakides. 1996-11-28. Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices. https://arxiv.org/abs/cond-mat/9611239

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