WIAS Preprint No. 2965, (2022)

Volume exclusion effects in perovskite charge transport modeling


  • Abdel, Dilara
  • Courtier, Nicola E.
  • Farrell, Patricio
    ORCID: 0000-0001-9969-6615

2020 Mathematics Subject Classification

  • 35Q81 35K57


  • Perovskite modeling, drift-diffusion equations, volume exclusion effects, current density




Due to their flexible material properties, perovskite materials are a promising candidate for many semiconductor devices such as lasers, memristors, LEDs and solar cells. For example, perovskite-based solar cells have recently become one of the fastest growing photovoltaic technologies. Unfortunately, perovskite devices are far from commercialization due to challenges such as fast degradation. Mathematical models can be used as tools to explain the behavior of such devices, for example drift-diffusion equations portray the ionic and electric motion in perovskites. In this work, we take volume exclusion effects on ion migration within a perovskite crystal lattice into account. This results in the formulation of two different ionic current densities for such a drift-diffusion model -- treating either the mobility or the diffusivity as density-dependent while the other quantity remains constant. The influence of incorporating each current density description into a model for a typical perovskite solar cell configuration is investigated numerically, through simulations performed using two different open source tools.

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