A Model for the Operation of Perovskite Based Hybrid Solar Cells: Formulation, Analysis, and Comparison to Experiment

A Model for the Operation of Perovskite Based Hybrid Solar Cells: Formulation, Analysis, and Comparison to Experiment
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DOI:
10.1137/130934258
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发表时间:
2014-12
期刊:
SIAM J. Appl. Math.
影响因子:
--
通讯作者:
J. Foster;H. Snaith;T. Leijtens;G. Richardson
J. Foster;H. Snaith;T. Leijtens;G. Richardson
中科院分区:
其他
文献类型:
--
作者:
J. Foster;H. Snaith;T. Leijtens;G. Richardson

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This work is concerned with the modeling of perovskite based hybrid solar cells formed by sandwiching a slab of organic lead halide perovskite (CH$_3$NH$_3$PbI$_{3-x}$Cl$_x$) photo-absorber between (n-type) acceptor and (p-type) donor materials---typically titanium dioxide and spiro. A model for the electrical behavior of these cells is formulated based on drift-diffusion equations for the motion of the charge carriers and Poisson's equation for the electric potential. It is closed by (i) internal interface conditions accounting for charge recombination/generation and jumps in charge carrier densities arising from differences in the electron affinity/ionization potential between the materials and (ii) ohmic boundary conditions on the contacts. The model is analyzed by using a combination of asymptotic and numerical techniques. This leads to an approximate---yet highly accurate---expression for the current-voltage relationship as a function of the solar induced photo-current. In addition, we show that this...