The Mathematical Institute, University of Oxford, Eprints Archive

Asymptotic solution of a model for bilayer organic diodes and solar cells

Richardson, G. and Please, C. P. and Kirkpatrick, J. (2011) Asymptotic solution of a model for bilayer organic diodes and solar cells. SIAM Journal on Applied Mathematics . (Submitted)



The current voltage characteristics of an organic semiconductor diode made by placing together two materials with dissimilar electron affinities and ionisation potentials is analysed using asymptotic methods. An intricate boundary layer structure is examined. We find that there are three regimes for the total current passing through the diode. For reverse bias and moderate forward bias the dependency of the voltage on the current is similar to the behaviour of conventional inorganic semiconductor diodes predicted by the Shockley equation and are governed by recombination at the interface of the materials. There is then a narrow range of currents where the behaviour undergoes a transition. Finally for large forward bias the behaviour is different with the current being linear in voltage and is primarily controlled by drift of charges in the organic layers. The size of the interfacial recombination rate is critical in determining the small range of current where there is rapid transition between the two main regimes. The extension of the theory to organic solar cells is discussed and the analogous current voltage curves derived in the regime of interest.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1447
Deposited By: Peter Hudston
Deposited On:18 Nov 2011 07:44
Last Modified:29 May 2015 19:08

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