The ferroelectricity in hybrid perovskite solar cells has attracted much attention and its effect on the device transport and photovoltaic properties is still under debate. In this paper, we investigate theoretically the effect of ferroelectricity on the redistribution of charge in a PCBM/perovskite device through the Poisson equation. The spontaneous polarization is set to be a hyperbolic tangent function of applied electrical field. The carriers in both the layers are assumed to be in quasi-equilibrium, and the (dark) current stems from the recombination at the PCBM/perovskite interface. The electrostatic potential profiles throughout the device and the current-bias ($I-V$) curves are obtained numerically. It is found that for the bias forward scan, larger potential drop will be on the PCBM layer, and for the bias reverse scan larger potential drop will be on the perovskite layer. The hysteresis of $I-V$ curves is also obtained. These results shed new light on the effect of ferroelectricity in hybrid perovskite materials.

混合钙钛矿太阳能电池中的铁电引起了广泛的关注，其对器件传输和光伏性能的影响仍在争论中。在本文中，我们通过泊松方程从理论上研究铁电对PCBM /钙钛矿器件中电荷重新分布的影响。自发极化设置为施加电场的双曲正切函数。假设两层中的载流子处于准平衡状态，（暗）电流源于PCBM /钙钛矿界面处的复合。整个设备的静电势分布和电流偏置（$\mathrm{一世}-\mathrm{伏特}$）曲线是通过数值获得的。发现对于正向偏置扫描，较大的电势下降将在PCBM层上，而对于反向反向扫描，较大的电势下降将在钙钛矿层上。的磁滞$\mathrm{一世}-\mathrm{伏特}$曲线也被获得。这些结果为混合钙钛矿材料中铁电的影响提供了新的启示。