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A note on current-voltage characteristics from the quantum hydrodynamic equations for semiconductors

✍ Scribed by A. Jüngel

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
326 KB
Volume
10
Category
Article
ISSN
0893-9659

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✦ Synopsis

The quantum hydrodynamic model is primary used for the simulation of resonant tunneling diodes. The current-voltage characteristics of these diodes show negative differential resistance (NDR) effects. For two simplified one-dimensional quantum models derived by means of asymptotic analysis, explicit formulas of the current-voltage characteristics are given. It turns out that not only the quantum correction term but also the convection term are mathematically responsible for the NDR effects. This observation is confirmed by numerical simulations of the full isothermal quantum hydrodynamic model.

📜 SIMILAR VOLUMES

A note on boundary conditions for quantu
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✍ R. Pinnau 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 284 KB

## Communicated by P. Markowich Abstract--The asymptotic behavior of the thermal equilibrium state of a bipolar quantum hydrodynamic model is considered. The quantum limit L ---, 0, L denoting a characteristic device length, is carried out rigorously. It shows that the classical assumption of char