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Momentum-Based Transport Models

  • Christoph Jungemann
  • Bernd Meinerzhagen
Part of the Computational Microelectronics book series (COMPUTATIONAL)

Abstract

The MC model is very CPU intensive and simpler but more CPU efficient models based on balance equations have been developed. The most widely used momentum-based models are the drift-diffusion (DD) and the hydrodynamic (HD) models [7.1–7.13]. Both models are derived by applying different degrees of approximation to balance equations of the type (2.39). The DD model is the simplest momentum-based model and consists of balance equations for the particle and current densities. Thus, only the first two moments of the distribution function are calculated instead of the full distribution function and a large fraction of the information contained in the distribution funtion is lost. On the other hand, the dimentionality of the problem is reduced by the integration of the k-space and the CPU efficiency is improved by orders of magnitude. In the case of the HD model the first four moments are considered including the particle density, current density, particle gas temperature, and the energy current density. This already enables the simulation of nonlocal effects,like the velocity overshoot, which have a strong impact on the device behavior of modern deep sub-micron devices.

Keywords

Spectral Intensity Einstein Relation Donor Doping Velocity Overshoot Inverse Mass 
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 Wien 2003

Authors and Affiliations

  • Christoph Jungemann
    • 1
  • Bernd Meinerzhagen
    • 1
  1. 1.Institut für Theoretische Elektrotechnik und MikroelektronikUniversität BremenBremenGermany

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