Analytical and numerical study of photocurrent transients in organic polymer solar cells

Computer Methods in Applied Mechanics and Engineering

Volumn 199, Issue 25-28, 2010, Pages 1722-1732

  de Falco, Carlo ^a   Sacco, Riccardo ^a   Verri, Maurizio ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Finite element method; Numerical simulation; Organic photovoltaic devices; Reaction diffusion systems with electrostatic convection; Solar cells

Indexed keywords

ELECTROSTATIC CONVECTION; NUMERICAL SIMULATION; ORGANIC PHOTOVOLTAIC DEVICES; REACTION DIFFUSION SYSTEMS;

COMPUTER SIMULATION; DIFFUSION IN LIQUIDS; DYNAMIC MODELS; ELECTROSTATIC DEVICES; ELECTROSTATICS; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PHOTOCURRENTS; PHOTOVOLTAIC EFFECTS; SOLAR CELLS; SOLAR POWER GENERATION; TRANSIENTS;

FINITE ELEMENT METHOD;

EID: 77952544959     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2010.01.018     Document Type: Article

References (39)

1. Climate change 2007: The physical science basis, Tech. rep., IPCC (2007).
2. Press release 2785th council meeting environment, Tech. rep., Council of The European Union (2007).
3. Green M. Third Generation Photovoltaics: Advanced Solar Electricity Generation 2003, Springer-Verlag, Berlin Heidelberg.
4. M. Grätzel, Photoelectrochemical cells, Nature 414 (2001) 338-344.
5. Graetzel M. Solar energy conversion by dye-sensitized photovoltaic cells. Inorg. Chem. 2005, 44:6841-6851.
6. Bai Y., Cao Y., Zhang J., Wang M., Li R., Wang P., Zakeeruddin S.W., Grätzel M. High-performance dye-sensitized solar cells based on solvent-free electrolytes produced from eutectic melts. Nature Mater. 2008, 7:626-630.
7. Mihailetchi V., Koster L., Hummelen J., Blom P. Photocurrent generation in polymer-fullerene bulk heterojunctions. Phys. Rev. Lett. 2004, 93(21):216601. 4 pp. 10.1103/PhysRevLett.93.216601.
8. Mayer A., Scully S., Hardin B., Rowell M., McGehee M. Polymer-based solar cells. Mater. Today 2007, 10(11):28-33.
9. Gunes S., Neugebauer H., Sariciftci N. Conjugated polymer-based organic solar cells. Chem. Rev. 2007, 107:1324-1338.
10. Barker J., Ramsdale C., Greenham N. Modeling the current-voltage characteristics of bilayer polymer photovoltaic devices. Phys. Rev. B 2003, 67:075205. 9 pp.
11. Buxton G., Clarke N. Computer simulation of polymer solar cells. Model. Simul. Mater. Sci. Eng. 2007, 15:13-26.
12. Hwang I., Greenham N. Modeling photocurrent transients in organic solar cells. Nanotechnology 2008, 19:424012. 8 pp.
13. S. L. M. van Mensfoort, R. Coehoorn, Effect of Gaussian disorder on the voltage dependence of the current density in sandwich-type devices based on organic semiconductors, Phys. Rev. B 80 (2009) 085302 11 pp.
14. Gill W. Drift mobilities in amorphous charge-transfer complexes of trinitrofluorenone and poly-n-vinylcarbazole. J. Appl. Phys. 1972, 55(12):5033.
15. Horowitz G. Organic field-effect transistors. Adv. Mater. 1998, 10(5):365-377.
16. Campbell Scott J., Malliaras G. Charge injection and recombination at the metal-organic interface. Chem. Phys. Lett. 1999, 299:115-119.
17. I. Hwang, Private communication (2009).
18. Atlas User's Manual, Silvaco Co. Support Document (2009).
19. Markowich P., Ringhofer C., Schmeiser C. Semiconductor Equations 1990, Springer, Verlag, Wien.
20. Quarteroni A., Sacco R., Saleri F. Numerical Mathematics 2007, vol. 37 of Texts in Applied Mathematics. Springer, Berlin Heidelberg New York. 2nd Edition.
21. Sze S., Ng K. Physics of Semiconductor Devices (3rd Edition) 2006, Wiley, New York.
22. Wrzosek D., et al. The Non-stationary Semiconductor Model with Bounded Convective Velocity and Generation/Recombination Terms. Mathematical Modeling and Simulation of Electrical Circuits and Semiconductor Devices 1994, vol. 117 of ISNM:293-313. Birkhauser Verlag, Basel.
23. Selberherr S. Analysis and Simulation of Semiconductor Devices 1984, Springer Verlag, Wien.
24. Ascher U., Petzold L. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations 1998, SIAM.
25. Hairer E., Wanner G. Solving Ordinary Differential Equations I, Springer Series in Computational Mathematics 1996, Springer, Verlag, Berlin.
26. P. Brown, A. Hindmarsh, L. Petzold, A description of DASPK: a solver for large-scale differential-algebraic systems, Lawrence Livermore National Report UCRL.
27. Van Keken P., Yuen D., Petzold L. DASPK: a new high order and adaptive time-integration technique with applications to mantle convection with strongly temperature-and pressure-dependent rheology. Geophys. Astrophys. Fluid Dyn. 1995, 80(1):57-74.
28. Gummel H.K. A self-consistent iterative scheme for one-dimensional steady-state transistor calculations. IEEE Trans. El. Dev. ED 1964, 11:455-465.
29. de Falco C., Jerome J.W., Sacco R. Quantum corrected drift-diffusion models: solution fixed point map and finite element approximation. J. Comp. Phys. 2009, 228:1770-1789.
30. Bank R.E., Coughran W.M., Cowsar L.C. Analysis of the finite volume Scharfetter-Gummel method for steady convection diffusion equations. Comput. Vis. Sci. 1998, 1(3):123-136.
31. Gatti E., Micheletti S., Sacco R. A new Galerkin framework for the drift-diffusion equation in semiconductors. East West J. Numer. Math. 1998, 6(2):101-135.
32. Xu J., Zikatanov L. A monotone finite element scheme for convection-diffusion equations. Math. Comp. 1999, 68(228):1429-1446.
33. Lazarov R., Zikatanov L. An exponential fitting scheme for general convection-diffusion equations on tetrahedral meshes. Comput. Appl. Math. 2005, 1(92):60-69. Obchysljuval'na ta prykladna matematyka, Kiev.
34. Scharfetter D., Gummel H. Large signal analysis of a silicon read diode oscillator. IEEE Trans. Electron. Devices ED 1969, 16:64-77.
35. Brezzi F., Marini L., Pietra P. Numerical simulation of semiconductor devices. Comp. Meths. Appl. Mech. Engrg. 1989, 75:493-514.
36. Kim J.Y., Kim S.H., Lee H.-H., Lee K., Ma W., Gong X., Heeger A.J. New architecture for high-efficiency polymer photovoltaic cells using solution-based titanium oxide as an optical spacer. Adv. Mater. 2006, 18:572-576.
37. Xi D., Shi C., Yao Y., Yang Y., Pei Q. Nanostructured polymer solar cells. IRPS 2008, IEEE International Reliability Physics Symposium 2008, 178-180.
38. Jerome J. Analysis of Nonlinear Evolution Systems 1983, Academic Press, New York.
39. de Falco C., Sacco R., Jerome J. Quantum corrected drift-diffusion models: solution fixed point map and finite element approximation. J. Comput. Phys. 2009, 228:770-1789.