Abstract
So far, the model and the number of parameters that have been used in the literature to describe the recombination mechanism in an organic semiconductor depend on the type of trap distribution assumed. Because using only one particular recombination model could be relevant for the design of a computer algorithm to simulate organic devices, in this work, we analyze and validate a function that could be considered to be a generalization of the classic model of the recombination process via carrier-traps. Our proposal is based on Shockley–Read–Hall model which is extended to include traps in the energy continuum. We show that a Gaussian function could be set through physical parameters to approximate the most common trap distributions in the band gap such as an exponential distribution and traps in a single energy level. The application of this model for the determination of the current density–voltage characteristics of organic solar cells under illumination and in the dark is also demonstrated.
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Yu, G., Gao, J., Hummelen, J.C., Wudl, F., Heeger, A.J.: Polymer photovoltaic cells: enhanced efficiencies via a network of internal donor-acceptor heterojunctions. Science 270, 1789–1791 (1995)
Green, M.A., Emery, K., Hishikawa, Y., Warta, W., Dunlop, E.D.: Solar cell efficiency tables (version 47). Prog. Photovolt: Res. Appl. 24, 3–11 (2015)
Deibel, C., Dyakonov, V.: Polymer-fullerene bulk heterojunction solar cells. Rep. Prog. Phys. 73, 096401 (2010)
Kuik, M., Koster, L.J.A., Wetzelaer, G.A.H., Blom, P.W.M.: Trap-assisted recombination in disordered organic semiconductors. Phys. Rev. Lett. 107, 256805 (2011)
Kirchartz, T., Pieters, B.E., Kirkpatrick, J., Rau, U., Nelson, J.: Recombination via tail states in polythiophene:fullerene solar cells. Phys. Rev. B 83, 115209 (2011)
MacKenzie, R., Kirchartz, T., Dibb, G.F.A., Nelson, J.: Modeling nongeminate recombination in P3HT:PCBM solar cells. J. Phys. Chem. C 115, 9806–9813 (2011)
Zhou, S., Sun, J., Zhou, C., Deng, Z.: Comparison of recombination models in organic bulk heterojunction solar cells. Phys. B 415, 28–33 (2013)
Hawks, S.A., Li, G., Yang, Y., Street, R.A.: Band tail recombination in polymer:fullerene organic solar cells. J. Appl. Phys. 116, 074503 (2014)
Hernandez, L.F., Cabrera, V., Resendiz, L.M.: Influence of the recombination mechanism via band tails on the electric performance of a bulk heterojunction solar cell. In: 11th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE) (2014)
Nicolai, H.T., Mandoc, M.M., Blom, P.W.M.: Electron traps in semiconducting polymers: exponential versus Gaussian trap distribution. Phys. Rev. B 83, 195204 (2011)
Nicolai, H.T., Kuik, M., Wetzelaer, G.A.H., de Boer, B., Campbell, C., Risko, C., Brédas, J.L., Blom, P.W.M.: Unification of trap-limited electron transport in semiconducting polymers. Nat. Mater. 11, 882–887 (2012)
Garcia-Belmonte, G.: Carrier recombination flux in bulk heterojunction polymer:fullerene solar cells: effect of energy disorder on ideality factor. Solid State Electron. 79, 201–205 (2013)
Sah, R.-Y., Noyce, R.N., Shockley, W.: Carrier generation and recombination in pn junctions and pn junction characteristics. Proc. IRE 45, 1228–1243 (1957)
Willemen, J.A.: Dissertation, TU Delft, [http://repository.tudelft.nl/assets/uuid:0771d543-af5f-4579-8a35-0b68d34a1334/emc_willemen_19981016.PDF] 45 (1998)
Pieters, B. E.: Dissertation, TU Delft, [http://repository.tudelft.nl/assets/uuid:83bc5ff4-8e33-4962-9014-68cfbad8226f/pieters_20081111.pdf] 30 (2008)
Baranovskii, S.D.: Theoretical description of charge transport in disordered organic semiconductors. Phys. Status Solidi B 251, 487–525 (2014)
Koster, L.J.A., Smits, E.C.P., Mihailetchi, V.D., Blom, P.W.M.: Device model for the operation of polymer/fullerene bulk heterojunction solar cells. Phys. Rev. B 72, 085205 (2005)
Hwang, I., McNeill, C.R., Greenham, N.C.: Drift-diffusion modeling of photocurrent transients in bulk heterojunction solar cells. J. Appl. Phys. 106, 094506 (2009)
Häusermann, R., Knapp, E., Moos, M., Reinke, N.A., Flatz, T., Ruhstaller, B.: Coupled optoelectronic simulation of organic bulk-heterojunction solar cells: parameter extraction and sensitivity analysis. J. Appl. Phys. 106, 104507 (2009)
Knapp, E., Häusermann, R., Schwarzenbach, H.U., Ruhstaller, B.: Numerical simulation of charge transport in disordered organic semiconductor devices. J. Appl. Phys. 108, 054504 (2010)
Lianga, C., Wanga, Y., Lib, D., Jib, X., Zhanga, F., Hea, Z.: Modeling and simulation of bulk heterojunction polymer solar cells. Sol. Energy Mater. Sol. Cells 127, 67–86 (2014)
Hernández-García, L.F., Cabrera-Arenas, V., Reséndiz-Mendoza, L.M.: On the convergence of the algorithm for simulating organic solar cells. Comput. Phys. Comm. 196, 372–379 (2015)
Garcia-Belmonte, G.: Temperature dependence of open-circuit voltage in organic solar cells from generation-recombination kinetic balance. Sol. Energy Mater. Sol. Cells 94, 2166–2169 (2010)
Koster, L.J.A., Mihailetchi, V.D., Blom, P.W.M.: Bimolecular recombination in polymer/fullerene bulk heterojunction solar cells. Appl. Phys. Lett. 88, 052104 (2006)
Ansari-Rad, M., Garcia-Belmonte, G., Bisquert, J.: Consistent formulation of the crossover from density to velocity dependent recombination in organic solar cells. Appl. Phys. Lett. 107, 073301 (2015)
Acknowledgments
This work was supported by the Instituto Politécnico Nacional (IPN) under SIP-projects: 20151949 and 20151871. Two of the authors (L F H and O R S) acknowledges support by PIFI program from the IPN.
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Hernández-García, L.F., Ramírez-Sánchez, O., Cabrera-Arenas, V. et al. A Gaussian model for recombination via carrier-trap distributions in organic solar cells. J Comput Electron 15, 1103–1109 (2016). https://doi.org/10.1007/s10825-016-0835-0
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DOI: https://doi.org/10.1007/s10825-016-0835-0