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Published Online: 03 December 2010
Accepted: October 2010
Journal of Applied Physics 108, 113705 (2010); https://doi.org/10.1063/1.3516392
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Up to now the basic theoretical description of charge extraction by linearly increasing voltage (CELIV) is solved for a low conductivity approximation only. Here we present the full analytical solution, thus generalize the theoretical framework for this method. We compare the analytical solution and the approximated theory, showing that especially for typical organic solar cell materials the latter approach has a very limited validity. Photo-CELIV measurements on poly(3-hexyl thiophene-2,5-diyl):[6,6]-phenyl-C61 butyric acid methyl ester based solar cells were then evaluated by fitting the current transients to the analytical solution. We found that the fit results are in a very good agreement with the experimental observations, if ambipolar transport is taken into account, the origin of which we will discuss. Furthermore we present parametric equations for the mobility and the charge carrier density, which can be applied over the entire experimental range of parameters.
The authors thank the Bundesministerium für Bildung und Forschung for financial support in the framework of the MOPS project (Í’Contract No. 13N9867Í’). C.D. gratefully acknowledges the support of the Bavarian Academy of Sciences and Humanities. V.D.’s work at the ZAE Bayern is financed by the Bavarian Ministry of Economic Affairs, Infrastructure, Transport and Technology.
  1. 1. C. Deibel and V. Dyakonov, Rep. Prog. Phys. 73, 096401 (2010). https://doi.org/10.1088/0034-4885/73/9/096401, Google ScholarCrossref
  2. 2. S. H. Park, A. Roy, S. Beaupré, S. Cho, N. Coates, J. S. Moon, D. Moses, M. Leclerc, K. Lee, and A. J. Heeger, Nat. Photonics, 3, 297, (2009). https://doi.org/10.1038/nphoton.2009.69, Google ScholarCrossref
  3. 3. Y. Liang, Z. Xu, J. Xia, S. -T. Tsai, Y. Wu, G. Li, C. Ray, and L. Yu, Adv. Mater. 22, E135 (2010). https://doi.org/10.1002/adma.200903528, Google ScholarCrossref
  4. 4. M. A. Green, K. Emery, Y. Hishikawa, and W. Warta, Prog. Photovolt. Res. Appl. 18, 144 (2010). https://doi.org/10.1002/pip.974, Google ScholarCrossref
  5. 5. C. Deibel, Phys. Status Solidi A 206, 2731 (2009). Google ScholarCrossref
  6. 6. V. Coropceanu, J. Cornil, D. da Silva Filho, Y. Olivier, R. Silbey, and J. L. Brédas, Chem. Rev. 107, 926 (2007). https://doi.org/10.1021/cr050140x, Google ScholarCrossref
  7. 7. A. Baumann, J. Lorrmann, C. Deibel, and V. Dyakonov, Appl. Phys. Lett. 93, 252104 (2008). https://doi.org/10.1063/1.3055608, Google ScholarScitation
  8. 8. S. De, T. Pascher, M. Maiti, K. G. Jespersen, F. Zhang, O. Inganäs, A. Yartsev, and V. Sundström, J. Am. Chem. Soc. 129, 8466 (2007). https://doi.org/10.1021/ja068909q, Google ScholarCrossref
  9. 9. T. M. Clarke, F. C. Jamieson, and J. R. Durrant, J. Phys. Chem. C 113, 20934, 2009. https://doi.org/10.1021/jp909442s, Google ScholarCrossref
  10. 10. C. G. Shuttle, Phys. Rev. B 78, 113201 (2008). https://doi.org/10.1103/PhysRevB.78.113201, Google ScholarCrossref
  11. 11. G. Juška, K. Arlauskas, M. Viliūnas, and J. Kočka, Phys. Rev. Lett. 84, 4946 (2000). https://doi.org/10.1103/PhysRevLett.84.4946, Google ScholarCrossref
  12. 12. G. Juška, N. Nekrasas, K. Genevičius, J. Stuchlik, and J. Kočka, Thin Solid Films 451, 290 (2004). https://doi.org/10.1016/j.tsf.2003.11.053, Google ScholarCrossref
  13. 13. S. Bange, M. Schubert, and D. Neher, Phys. Rev. B 81, 035209 (2010). https://doi.org/10.1103/PhysRevB.81.035209, Google ScholarCrossref
  14. 14. A. Petravičius, G. Juška, and R. Baubinas, Sov. Phys. Semicond. 3, 1530 (1976). Google Scholar
  15. 15. G. B. Airy, Trans. Cambridge Philos. Soc. 6, 379 (1838). Google Scholar
  16. 16. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1964). Google Scholar
  17. 17. F. W. J. Olver, Asymptotics and Special Functions (Academic, New York, 1974). Google Scholar
  18. 18. G. E. Andrews, R. Askey, and R. Roy, Special Functions (Cambridge University Press, Cambridge, 2000). Google Scholar
  19. 19. G. Juška, K. Arlauskas, M. Viliūnas, K. Genevičius, R. Österbacka, and H. Stubb, Phys. Rev. B 62, R16235 (2000). https://doi.org/10.1103/PhysRevB.62.R16235, Google ScholarCrossref
  20. 20. C. Deibel, A. Baumann, and V. Dyakonov, Appl. Phys. Lett. 93, 163303 (2008). https://doi.org/10.1063/1.3005593, Google ScholarScitation
  21. 21. V. D. Mihailetchi, J. K. J. van Duren, P. W. M. Blom, J. C. Hummelen, R. A. J. Janssen, J. M. Kroon, M. T. Rispens, W. J. H. Verhees, and M. M. Wienk, Adv. Funct. Mater. 13, 43 (2003). https://doi.org/10.1002/adfm.200390004, Google ScholarCrossref
  22. 22. M. M. Mandoc, F. B. Kooistra, J. C. Hummelen, B. de Boer, and P. W. M. Blom, Appl. Phys. Lett. 91, 263505 (2007). https://doi.org/10.1063/1.2821368, Google ScholarScitation, ISI
  23. 23. C. J. Brabec, N. S. Sariciftci, and J. C. Hummelen, Adv. Funct. Mater. 11, 15 (2001). https://doi.org/10.1002/1616-3028(200102)11:1<15::AID-ADFM15>3.0.CO;2-A, Google ScholarCrossref
  24. 24. H. Hoppe, M. Drees, W. Schwinger, F. Schäffler, and N. S. Sariciftci, Synth. Met. 152, 117 (2005). https://doi.org/10.1016/j.synthmet.2005.07.217, Google ScholarCrossref
  25. 25. A. J. Mozer, G. Dennler, N. Sariciftci, M. Westerling, A. Pivrikas, R. Österbacka, and G. Juška, Phys. Rev. B 72, 035217 (2005). https://doi.org/10.1103/PhysRevB.72.035217, Google ScholarCrossref
  26. 26. G. Dennler, A. Pivrikas, A. J. Mozer, G. Juška, A. Fuchsbauer, and N. S. Sariciftci, Org. Electron. 7, 229 (2006). https://doi.org/10.1016/j.orgel.2006.02.004, Google ScholarCrossref
  27. 27. A. J. Mozer, N. Sariciftci, A. Pivrikas, R. Österbacka, G. Juška, L. Brassat, and H. Bässler, Phys. Rev. B 71, 035214 (2005). https://doi.org/10.1103/PhysRevB.71.035214, Google ScholarCrossref
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