Journal of Computational Electronics

, Volume 6, Issue 1–3, pp 183–186 | Cite as

Self-consistent quantum transport theory: Applications and assessment of approximate models

  • Tillmann Kubis
  • Peter Vogl


We have implemented a fully self-consistent non-equilibrium Green’s function approach for vertical quantum transport in open quantum devices with contacts and study theoretically quantum well heterostructures, resonant tunneling diodes and quantum cascade laser structures in this formalism. We systematically investigate the role and consequences of several widely used approximations such as decoupling the equations for the scattering states and their occupation, neglect of inelastic scattering, and neglect of nonlocal scattering self-energies.


Quantum transport NEGF Resonant tunneling diode Quantum cascade laser structure 


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  1. 1.
    Datta, S.: Electronic Transport in Mesoscopic Systems. Cambridge University Press (1995)Google Scholar
  2. 2.
    Ferry, D.K., Goodnick, S.M.: Transport in Nanostructures. Cambridge University Press (1997)Google Scholar
  3. 3.
    Schäfer, W., Wegener, M.: Semiconductor Optics and Transport Phenomena. Springer (2002)Google Scholar
  4. 4.
    Lake, R., Klimeck, G., Bowen, R.C., Jevanovic, D.: Single and multiband modeling of quantum electron transport through layered semiconductor devices. J. Appl. Phys. 81, 7845 (1997)CrossRefGoogle Scholar
  5. 5.
    Wacker, A.: Semiconductor superlattices: a model system for nonlinear transport. Phys. Rep. 357, 1–111 (2002)MATHCrossRefGoogle Scholar
  6. 6.
    Venugopal, R., Paulsson, M., Goasguen S., Datta, S., Lundstrom, M.: A simple quantum mechanical treatment of scattering in nanoscale transistors. J. Appl. Phys. 93, 5613 (2003)CrossRefGoogle Scholar
  7. 7.
    Klimeck, G., Lake, R., Fernando, C.L., Bowen, R.C., Blanks, D., Leng, M., Moise, T., Kao Y.C., Frensley, W.R.: Numerical approximations for polar optical phonon scattering in resonant tunneling diodes. In: Ismail, K., Bandyopadhyay, S., Leburton, J.P. (eds.) Quantum Devices and Circuits. Imperial Press, London (1996)Google Scholar
  8. 8.
    Fischetti, M.V.: Theory of electron transport in small semiconductor devices using the Pauli master equation. J. Appl. Phys. 83, 270 (1998)CrossRefGoogle Scholar
  9. 9.
    Laux, S.E., Kumar, A., Fischetti, M.V.: Analysis of quantum ballistic electron transport in ultrasmall silicon devices including space-charge and geometric effects. J. Appl. Phys. 95, 5545 (2004)Google Scholar
  10. 10.
    Williams, B.S., Callebaut, H., Kumar, S., Hu, Q., Reno, J.: 3.4-THz quantum cascade laser based on longitudinal-optical phonon scattering for depopulation. Appl. Phys. Lett. 82, 1015 (2003)CrossRefGoogle Scholar

Copyright information

© 2006 2006

Authors and Affiliations

  1. 1.Walter Schottky Institute, TU MünchenGarchingGermany

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