Simulation of low-field mobility in inhomogeneous organic solids including charge carrier correlation effects

Jorg Stephan; Alfred Liemant; Sigurd K. Schrader; Fred Albrecht; Ludwig Brehmer

doi:10.1117/12.457484

27 February 2002 Simulation of low-field mobility in inhomogeneous organic solids including charge carrier correlation effects

Jorg Stephan, Alfred Liemant, Sigurd K. Schrader, Fred Albrecht, Ludwig Brehmer

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Proceedings Volume 4464, Organic Light-Emitting Materials and Devices V; (2002) https://doi.org/10.1117/12.457484
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

We derive a macroscopic drift-diffusion equation for charge carrier mobilities in disordered materials. Our procedure takes site blocking and internal field effects explicitly into consideration. The final expression contains several drift terms originating from spatial inhomogeneities and energetic disorder. Thus even a spatial variation of the hopping rates is allowed, if local detailed balance still holds. The main advantage of our approach is a time-dependent numerical solution of the drift-diffusion equation for all positions within a sample without resort to a lattice description or a finite element analysis. We discuss our numerical results for important cases of spatial disorder and energy density of states within a sample and follow the space-time evolution of local charge distributions. The occurrence of shock waves is discussed both theoretically by giving asymptotic solutions and in simulations.

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Jorg Stephan, Alfred Liemant, Sigurd K. Schrader, Fred Albrecht, and Ludwig Brehmer "Simulation of low-field mobility in inhomogeneous organic solids including charge carrier correlation effects", Proc. SPIE 4464, Organic Light-Emitting Materials and Devices V, (27 February 2002); https://doi.org/10.1117/12.457484

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