Numerical simulation of organic semiconductor devices with high carrier densities

We give a full description of the numerical solution of a general charge transport model for doped disordered semiconductors with arbitrary field- and density-dependent mobilities. We propose a suitable scaling scheme and generalize the Gummel iterative procedure, giving both the discretization and...

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Bibliographic Details
Main Authors: Stodtmann, Sven (Author) , Lee, R. M. (Author) , Weiler, Christoph Karl Felix (Author)
Format: Article (Journal)
Language:English
Published: 10 December 2012
In: Journal of applied physics
Year: 2012, Volume: 112, Issue: 11, Pages: 114909
ISSN:1089-7550
DOI:10.1063/1.4768710
Online Access:Verlag, Volltext: http://dx.doi.org/10.1063/1.4768710
Verlag, Volltext: https://aip.scitation.org/doi/10.1063/1.4768710
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Author Notes:S. Stodtmann, R.M. Lee, C.K.F. Weiler, and A. Badinski
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Summary:We give a full description of the numerical solution of a general charge transport model for doped disordered semiconductors with arbitrary field- and density-dependent mobilities. We propose a suitable scaling scheme and generalize the Gummel iterative procedure, giving both the discretization and linearization of the van Roosbroeck equations for the case when the generalized Einstein relation holds. We show that conventional iterations are unstable for problems with high doping, whereas the generalized scheme converges. The method also offers a significant increase in efficiency when the injection is large and reproduces known results where conventional methods converge.
Item Description:Gesehen am 09.10.2020
Physical Description:Online Resource
ISSN:1089-7550
DOI:10.1063/1.4768710