Using Drift-Diffusion Models as a Tool to Probe the Physics of Perovskite Solar Cells
Giles Richardson a, Nicola Courtier a, Laurence Bennett a, Juan Anta b, Antonio Exposito b
a Department of Mathematical Sciences, University of Southampton, University of Southampton, Southampton, SO17 1BJ, United Kingdom
b Pablo de Olavide University, Sevilla, Spain, Carretera de Utrera, km. 1, Montequinto, Spain
Oral, Giles Richardson, presentation 032
Publication date: 25th November 2019

To date there is no entirely systematic theoretical approach with which to analyse the vast quantities of experimental data generated by studies of perovskite solar cell behaviour. This talk aims to go some way in addressing this gap in the literature by formulating [2] and analysing drift-diffusion (DD) models for planar perovskite cells, that incorporate the effects of both ion vacancy and charge carrier motion. These models are analysed using a combination of numerical [1] and approximate asymptotic (e.g. [3]) methods.  This approach is applied to both Kelvin-Probe Force Microscopy measurements and impedance spectroscopy data. In the former case measurements indicate novel physical phenomena that are missing from the standard DD models. In the latter case results, in the form of simple analytic expressions for key experimental quantities, are derived from a systematic approximation of the DD model. These are then used to extract information about the cell's physics from experimental data. 

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