Journal of Computational Electronics

, Volume 3, Issue 3–4, pp 183–187 | Cite as

A Non-Parabolic Six Moments Model for the Simulation of Sub-100 nm Semiconductor Devices

  • Tibor GrasserEmail author
  • Robert Kosik
  • Christoph Jungemann
  • Bernd Meinerzhagen
  • Hans Kosina
  • Siegfried Selberherr


Macroscopic transport models derived from Boltzmann’s equation by using the method of moments are often used to efficiently evaluate the electrical behavior of semiconductor devices. The most commonly used model is the drift-diffusion model which comprises the first two moments of Boltzmann’s equation. In this model the carrier gas is assumed to be in equilibrium with the lattice, an assumption severely violated in submicron semiconductor devices. Hydrodynamic and energy-transport models have therefore been proposed to overcome this limitation. However, these extended models have never been widely accepted as a viable substitute, because for small devices they often do not deliver the expected improved accuracy. Here we present a non-parabolic six moments model which predicts considerably more accurate currents than the energy-transport model down to gate-lengths as small as 40 nm.


device simulation Boltzmann’s equation moments method macroscopic transport models energy-transport model six moments model 


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Copyright information

© Springer Science + Business Media, Inc. 2004

Authors and Affiliations

  • Tibor Grasser
    • 1
    Email author
  • Robert Kosik
    • 1
  • Christoph Jungemann
    • 2
  • Bernd Meinerzhagen
    • 2
  • Hans Kosina
    • 3
  • Siegfried Selberherr
    • 3
  1. 1.Christian Doppler Laboratory for TCAD in Microelectronics at the Institute for MicroelectronicsAustria
  2. 2.NSTBraunschweigGermany
  3. 3.Institute for MicroelectronicsViennaAustria

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