Analytical Theory on Carrier Transport in Thin Organic Layers using Drift-Diffusion Equation Coupled with Poisson's Equation
Kazuhiko Seki a
a National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, 1-1-1 Higashi, Ibaraki, Japan
Materials for Sustainable Development Conference (MATSUS)
Proceedings of nanoGe September Meeting 2015 (NFM15)
Santiago de Compostela, Spain, 2015 September 6th - 15th
Oral, Kazuhiko Seki, presentation 319
Publication date: 8th June 2015

First, we consider the effect of diffusive currents on unipolar transport in organic thin layers. Second, we study bipolar transport of carriers in a planer heterojunction of organic photovoltaic cells under light irradiation.

In the first part, we study the current-voltage relation using analytical solutions of drift-diffusion equation coupled with Poisson's equation. The integration constants were numerically determined using nonlinear equations obtained from boundary conditions. A simple analytical relation between the voltage and current was derived. By applying the theoretical relation to experimental data, both the mobility and the layer thickness can be simultaneously determined for unipolar transport of carriers in an organic layer. The effect of diffusion on the current-voltage relation is explained by the movement of the virtual electrode formed by space charge accumulation. Second, we consider admittance of a planer hetero junction under light irradiation. We show an analytical expression for the adimittance when bipolar carriers suppress development of the virtual electrode at the interface.



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