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Quantum Kinetic and Drift-Diffusion Equations for Semiconductor Superlattices

  • Conference paper
Progress in Industrial Mathematics at ECMI 2004

Part of the book series: Mathematics in Industry ((TECMI,volume 8))

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Summary

A nonlocal (quantum) drift-diffusion equation for the electric field and the electron density is derived from a Wigner-Poisson equation modelling quantum vertical transport in strongly coupled semiconductor superlattices, by using a consistent Chapman-Enskog procedure. Numerical solutions for a device consisting of a n-doped superlattice placed in a n+-n-n+ diode under a constant voltage bias are presented and compared with those obtained by using a semiclassical approximation.

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References

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  4. L.L. Bonilla, R. Escobedo, and Á. Perales. Generalized drift-diffusion model for miniband superlattices. Phys. Rev. B, 68(241304):241304-1–241304-4, 2003.

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Authors and Affiliations

  1. Universidad Carlos III de Madrid, Madrid, Spain

    L.L. Bonilla & R. Escobedo

Authors
  1. L.L. Bonilla
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  2. R. Escobedo
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands

    A. Di Bucchianico , R.M.M. Mattheij  & M.A. Peletier ,  & 

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© 2006 Springer-Verlag Berlin Heidelberg

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Bonilla, L., Escobedo, R. (2006). Quantum Kinetic and Drift-Diffusion Equations for Semiconductor Superlattices. In: Di Bucchianico, A., Mattheij, R., Peletier, M. (eds) Progress in Industrial Mathematics at ECMI 2004. Mathematics in Industry, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28073-1_10

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