Modeling of Quantum Ballistic Transport in Electron Waveguide Devices

  • E. Polizzi
  • N. Ben Abdallah
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 1)


A quantum model for electron transport in split-gate devices is solved. The model consists in a quasi 3-dimensional Schrödinger system for electron motion coupled to a three dimensional Poisson equation accounting for space charge effects. The coupled system is discretized thanks to finite element method and the coupling between the Poisson solver and the Schrödinger solver is treated implicitly. We present numerical results in a stub configuration at zero applied bias. The numerical results exhibit tunneling effect which cannot be obtained with Thomas-Fermi simulation.


Schrodinger Equation Potential Profile Schr6dinger Equation Space Charge Effect Dope Layer 
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  1. 1.
    See for example “Transport in nanostructures” (1997) edited by D.K. Ferry and S.M. Goodnick, Cambridge University pressGoogle Scholar
  2. 2.
    S. Datta, M. J. McLennan (1990) Rep. Prog. Phys. 53, 1003Google Scholar
  3. 3.
    L. Burgnies, 0. Vanbésien, D. Lippens (1997) J. Appl. Phys. 71, 803Google Scholar
  4. 4.
    T. Palm, L. Thylen (1996) J. Appl. Phys. 79, 8076Google Scholar
  5. 5.
    M. Büttiker, Y. Imry, R. Landauer, S. Pinhas (1985) Phys. Rev. B 31, 6207CrossRefGoogle Scholar
  6. 6.
    J. H. Davies (1988) Semicond. Sci. Technol. 3, 995Google Scholar
  7. 7.
    E. Polizzi, N. Ben Abdallah in preparationGoogle Scholar
  8. 8.
    N. Ben Abdallah (2000) J. Math. Phys. 41, no. 7, 4241MathSciNetMATHCrossRefGoogle Scholar
  9. 9.
    C.S. Lent and D.J. Kirkner (1990) J. Appl. Phys. 67, 6353Google Scholar
  10. 10.
    E. Polizzi et al. (2000) J. Appl. Phys. 87, 6700Google Scholar
  11. 11.
    0. Vanbésien, D. Wojciechowski, V. Sadaune, D. Lippens (1993) Phys. Semicond. dev., ed. Krishan Lal, New Delhi, 637Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • E. Polizzi
    • 1
  • N. Ben Abdallah
    • 2
  1. 1.département G.M.M., laboratoire M.I.P.I.N.S.AToulouse Cedex 4France
  2. 2.laboratoire M.I.P.Université Paul Sabatier Toulouse 3Toulouse cedex 4France

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