A comparison of resonant tunneling based on Schrödinger's equation and quantum hydrodynamics

Naoufel Ben Abdallah; Olivier Pinaud; Carl Gardner; Christian Ringhofer

doi:10.1080/106551402100012309

A comparison of resonant tunneling based on Schrödinger's equation and quantum hydrodynamics

Naoufel Ben Abdallah, Olivier Pinaud, Carl Gardner, Christian Ringhofer

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Smooth quantum hydrodynamic (QHD) model simulations of the current-voltage of a resonant tunneling diode at 300 K are compared with that predicted by the mixed-state Schrödinger equation approach. Although the resonant peak for the QHD simulation occurs at 0.15 V instead of the Schrödinger equation value of 0.2 V, there is good qualitative agreement between the current-voltage curves for the two models, including the predicted peak current values.

Original language	English (US)
Pages (from-to)	695-700
Number of pages	6
Journal	VLSI Design
Volume	15
Issue number	4
DOIs	https://doi.org/10.1080/106551402100012309
State	Published - Dec 2002

Keywords

Quantum hydrodynamic model
Resonant tunneling diode
Schrödinger equation

ASJC Scopus subject areas

Hardware and Architecture
Computer Graphics and Computer-Aided Design
Electrical and Electronic Engineering

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10.1080/106551402100012309

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abstract = "Smooth quantum hydrodynamic (QHD) model simulations of the current-voltage of a resonant tunneling diode at 300 K are compared with that predicted by the mixed-state Schr{\"o}dinger equation approach. Although the resonant peak for the QHD simulation occurs at 0.15 V instead of the Schr{\"o}dinger equation value of 0.2 V, there is good qualitative agreement between the current-voltage curves for the two models, including the predicted peak current values.",

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AU - Abdallah, Naoufel Ben

AU - Pinaud, Olivier

AU - Gardner, Carl

AU - Ringhofer, Christian

PY - 2002/12

Y1 - 2002/12

N2 - Smooth quantum hydrodynamic (QHD) model simulations of the current-voltage of a resonant tunneling diode at 300 K are compared with that predicted by the mixed-state Schrödinger equation approach. Although the resonant peak for the QHD simulation occurs at 0.15 V instead of the Schrödinger equation value of 0.2 V, there is good qualitative agreement between the current-voltage curves for the two models, including the predicted peak current values.

AB - Smooth quantum hydrodynamic (QHD) model simulations of the current-voltage of a resonant tunneling diode at 300 K are compared with that predicted by the mixed-state Schrödinger equation approach. Although the resonant peak for the QHD simulation occurs at 0.15 V instead of the Schrödinger equation value of 0.2 V, there is good qualitative agreement between the current-voltage curves for the two models, including the predicted peak current values.

KW - Quantum hydrodynamic model

KW - Resonant tunneling diode

KW - Schrödinger equation

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A comparison of resonant tunneling based on Schrödinger's equation and quantum hydrodynamics

Abstract

Keywords

ASJC Scopus subject areas

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