Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Voltage-current characteristics of multidimensional semiconductor devices

Author: Christian Schmeiser
Journal: Quart. Appl. Math. 49 (1991), 753-772
MSC: Primary 35Q60; Secondary 78A55, 82D99
DOI: https://doi.org/10.1090/qam/1134751
MathSciNet review: MR1134751
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Abstract: The steady state drift-diffusion model for the flow of electrons and holes in semiconductors is simplified by perturbation techniques. The simplifications amount to assuming zero space charge and low injection. The limiting problems are solved and explicit formulas for the voltage-current characteristics of bipolar devices can be obtained. As examples, the $ pn$-diode, the bipolar transistor and the thyristor are discussed. While the classical results of a one-dimensional analysis are confirmed in the case of the diode, some important effects of the higher dimensionality appear for the bipolar transistor.

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DOI: https://doi.org/10.1090/qam/1134751
Article copyright: © Copyright 1991 American Mathematical Society

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