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Space Charge Instabilities and Nonlinear Waves in Extrinsic Semiconductors

  • S. W. Teitsworth
  • M. J. Bergmann
  • L. L. Bonilla
Part of the Springer Proceedings in Physics book series (SPPHY, volume 79)

Abstract

We review the role of nonlinear space charge waves in the electrical conduction properties of extrinsic semiconductors, particularly ultrapure p-type Ge at low temperature. Recent experimental results can be interpreted using a drift-diffusion rate equation model which includes nonlinear electric field dependencies of the drift velocity and impurity capture and impact ionization rates. Under time-independent (dc) current bias, phase plane analysis of a reduced dynamical system indicates the presence of moving solitary waves which are dynamically unstable. Under dc voltage bias, numerical simulations for finite-length samples and Ohmic boundary conditions reveal dynamically stable solitary waves that travel periodically across the sample. Near the onset of time-dependent behavior we find a Hopf bifurcation to fast small-amplitude current oscillations which are associated with periodic motion of traveling waves that decay before reaching the end of the sample. Numerical estimates of wave speed, wave size and onset behavior are in excellent agreement with available experimental data. Finally, we discuss the sensitivity of dynamical behavior to material parameters such as impurity concentration.

Keywords

Solitary Wave Hopf Bifurcation Travel Wave Solution Contact Resistivity Average Electric Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • S. W. Teitsworth
    • 1
  • M. J. Bergmann
    • 1
  • L. L. Bonilla
    • 2
  1. 1.Department of Physics and Center for Nonlinear and Complex SystemsDuke UniversityDurhamUSA
  2. 2.Escuela Politécnica SuperiorUniversidad Carlos III de MadridLeganés, MadridSpain

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