VLSI Design

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International Workshop on Quantum Theory

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Volume 9 |Article ID 076568 | https://doi.org/10.1155/1999/76568

Carl L. Gardner, "Theory and Simulation of the Smooth Quantum Hydrodynamic Model", VLSI Design, vol. 9, Article ID 076568, 5 pages, 1999. https://doi.org/10.1155/1999/76568

Theory and Simulation of the Smooth Quantum Hydrodynamic Model

Received13 Aug 1997
Revised01 Dec 1998


The “smooth” quantum hydrodynamic (QHD) model is derived specifically to handle in a mathematically rigorous way the discontinuities in the classical potential energy which occur at heterojunction barriers in quantum semiconductor devices. Smooth QHD model simulations of the resonant tunneling diode are presented which exhibit enhanced negative differential resistance when compared with simulations using the original O(ħ2) QHD model. In addition, smooth QHD simulations of a classical electron shock wave are presented which agree with classical hydrodynamic model simulations and which do not exhibit the spurious dispersive oscillations of the O(ħ2) QHD model.

Copyright © 1999 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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