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

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

1996-11-28

arxiv.org/abs/cond-mat/9611239v1

Physics

Condensed Matter

24 pages, Latex. Figures on request. To appear in SIAM J. Appl. Math. 57(6) (1997)

Scientific paper

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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