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Chaotic motion of space charge wavefronts in semiconductors under time-independent voltage bias

I. R. Cantalapiedra·M. J. Bergmann·L. L. Bonilla·S. W. Teitsworth
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Abstract

A standard drift-diffusion model of space charge wave propagation in semiconductors has been studied numerically and analytically under dc voltage bias. For sufficiently long samples, appropriate contact resistivity and applied voltage - such that the sample is biased in a regime of negative differential resistance - we find chaos in the propagation of nonlinear fronts (charge monopoles of alternating sign) of electric field. The chaos is always low-dimensional, but has a complex spatial structure; this behavior can be interpreted using a finite dimensional asymptotic model in which the front (charge monopole) positions and the electrical current are the only dynamical variables.

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I. R. Cantalapiedra, M. J. Bergmann, L. L. Bonilla, S. W. Teitsworth. 2000-11-09. Chaotic motion of space charge wavefronts in semiconductors under time-independent voltage bias. https://doi.org/10.1103/physreve.63.056216

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