Physical model for impedance loop and negative capacitance in perovskite solar cells
Evelyne Knapp a, Beat Ruhstaller a, Martin Neukom b
a Institute of Computational Physics, ZHAW, Wildbachstr. 21, Winterthur, 8401, Switzerland
b Fluxim AG, CH, Katharina-Sulzer-Platz, 2, Winterthur, Switzerland
Asia-Pacific International Conference on Perovskite, Organic Photovoltaics and Optoelectronics
Proceedings of International Conference Asia-Pacific Hybrid and Organic Photovoltaics 2018 (AP-HOPV18)
Kitakyūshū-shi, Japan, 2018 January 28th - 30th
Organizers: Shuzi Hayase, Juan Bisquert and Hiroshi Segawa
Oral, Evelyne Knapp, presentation 039
DOI: https://doi.org/10.29363/nanoge.ap-hopv.2018.039
Publication date: 27th October 2017

Negative capacitance and inductive loops in impedance spectroscopy at low or intermediate frequencies in perovskite solar cells have been described in several recent reports [1-4]. The origin of these observations, however, remained unknown so far and is under debate. There are suggestions that the negative capacitance and inductive loop are related to one another as they appear in the same samples but at different applied biases. A direct correlation between the observation of the negative capacitance and a corresponding decrease in performance of the solar cell was reported recently [3]. Similarly, we have demonstrated that ion migration is present even in high-efficiency low-hysteresis perovskite cells [5].

In this contribution, we shed light on the physical mechanisms behind these observations and compare devices with weak and strong hysteresis in the frequency domain at different applied bias. For this purpose, we employ a 1D model that includes electronic transport as well as ionic transport. The model is able to simulate current-voltage curves, transient responses and impedance spectra and naturally produces inductive loops and negative capacitance.

We investigate which factors influence the occurrence of the negative capacitance and the inductive loop by systematically varying the model parameters. The simulations allow us to analyse the charge carrier and ion distributions at different applied bias where the negative capacitance and an inductive loop appear. We compare the simulation results with measurements and are able to correlate the efficiency and the appearance of the negative capacitance and the inductive loop with the help of the simulation.

[1] Inductive Loop in the Impedance Response of Perovskite Solar Cells Explained by Surface Polarization Model, Elnaz Ghahremanirad, Agustín Bou, Saeed Olyaee, and Juan Bisquert, The Journal of Physical Chemistry Letters 2017 8 (7), 1402-1406

[2] Kovalenko, A., Pospisil, J., Zmeskal, O., Krajcovic, J. and Weiter, M. (2017), Ionic origin of a negative capacitance in lead halide perovskites. Phys. Status Solidi RRL, 11: n/a, 1600418.

[3] Deleterious Effect of Negative Capacitance on the Performance of Halide Perovskite Solar Cells, Francisco Fabregat-Santiago, Michael Kulbak, Arava Zohar, Marta Vallés-Pelarda, Gary Hodes, David Cahen, and Iván Mora-Seró, ACS Energy Letters 2017 2 (9), 2007-2013,

[4] Properties of Contact and Bulk Impedances in Hybrid Lead Halide Perovskite Solar Cells Including Inductive Loop Elements, Antonio Guerrero, Germà Garcia-Belmonte, Ivan Mora-Sero, Juan Bisquert, Yong Soo Kang, T. Jesper Jacobsson, Juan-Pablo Correa-Baena, and Anders Hagfeldt, The Journal of Physical Chemistry C 2016 120 (15), 8023-8032

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