Multidimensional Augmented Current Equation Including Velocity Overshoot

Edwin C. Kan; Umberto Ravaioli; Datong Chen

doi:10.1109/55.119151

Multidimensional Augmented Current Equation Including Velocity Overshoot

Edwin C. Kan, Umberto Ravaioli, Datong Chen

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

Abstract

The augmented drift-diffusion current equation, which includes velocity overshoot effects through the space derivatives of the electric field, cannot be directly extended beyond one dimension, as given by Thornber [1]. We have developed a new formalism, which considers the carrier heating and the distribution relaxation effects, to obtain a multidimensional augmented drift-diffusion current equation. The equivalent mobility containing the velocity overshoot correction is derived from the perturbation analysis on the carrier temperature using the energy balance equation. We discuss also the issues related to the numerical implementation of this generalized model and the validity of the assumptions.

Original language	English (US)
Pages (from-to)	419-421
Number of pages	3
Journal	IEEE Electron Device Letters
Volume	12
Issue number	8
DOIs	https://doi.org/10.1109/55.119151
State	Published - Aug 1991

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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10.1109/55.119151

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title = "Multidimensional Augmented Current Equation Including Velocity Overshoot",

abstract = "The augmented drift-diffusion current equation, which includes velocity overshoot effects through the space derivatives of the electric field, cannot be directly extended beyond one dimension, as given by Thornber [1]. We have developed a new formalism, which considers the carrier heating and the distribution relaxation effects, to obtain a multidimensional augmented drift-diffusion current equation. The equivalent mobility containing the velocity overshoot correction is derived from the perturbation analysis on the carrier temperature using the energy balance equation. We discuss also the issues related to the numerical implementation of this generalized model and the validity of the assumptions.",

author = "Kan, {Edwin C.} and Umberto Ravaioli and Datong Chen",

note = "Funding Information: Manuscript received April 11, 1991; revised June 3, 1991. This work was supported by the Joint Services Electronics Program (JSEP) under Contract N0001490-J-1270 and by the National Science Foundation (NSF) through the National Center for Computational Electronics (NCCE) under Grant NSFEET87 19 100. E. C. Kan and U. Ravaioli are with the Beckman Institute and Coordinated Science Laboratory, University of Illinois, Urbana, IL 61801. D. Chen was with the Beckman Institute and Coordinated Science Laboratory, University of Illinois, Urbana, IL 61801. He is now with Stanford University, Stanford, CA 94305. IEEE Log Number 9102002.",

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AU - Kan, Edwin C.

AU - Ravaioli, Umberto

AU - Chen, Datong

N1 - Funding Information: Manuscript received April 11, 1991; revised June 3, 1991. This work was supported by the Joint Services Electronics Program (JSEP) under Contract N0001490-J-1270 and by the National Science Foundation (NSF) through the National Center for Computational Electronics (NCCE) under Grant NSFEET87 19 100. E. C. Kan and U. Ravaioli are with the Beckman Institute and Coordinated Science Laboratory, University of Illinois, Urbana, IL 61801. D. Chen was with the Beckman Institute and Coordinated Science Laboratory, University of Illinois, Urbana, IL 61801. He is now with Stanford University, Stanford, CA 94305. IEEE Log Number 9102002.

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N2 - The augmented drift-diffusion current equation, which includes velocity overshoot effects through the space derivatives of the electric field, cannot be directly extended beyond one dimension, as given by Thornber [1]. We have developed a new formalism, which considers the carrier heating and the distribution relaxation effects, to obtain a multidimensional augmented drift-diffusion current equation. The equivalent mobility containing the velocity overshoot correction is derived from the perturbation analysis on the carrier temperature using the energy balance equation. We discuss also the issues related to the numerical implementation of this generalized model and the validity of the assumptions.

AB - The augmented drift-diffusion current equation, which includes velocity overshoot effects through the space derivatives of the electric field, cannot be directly extended beyond one dimension, as given by Thornber [1]. We have developed a new formalism, which considers the carrier heating and the distribution relaxation effects, to obtain a multidimensional augmented drift-diffusion current equation. The equivalent mobility containing the velocity overshoot correction is derived from the perturbation analysis on the carrier temperature using the energy balance equation. We discuss also the issues related to the numerical implementation of this generalized model and the validity of the assumptions.

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Multidimensional Augmented Current Equation Including Velocity Overshoot

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