Relationship between energetic disorder and open-circuit voltage in bulk heterojunction organic solar cells

Physical Review B - Condensed Matter and Materials Physics

Volumn 84, Issue 7, 2011, Pages

  Blakesley, James C ^a   Neher, Dieter ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80052442646     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.075210     Document Type: Article

References (73)

1. S. H. Park, A. Roy, S. Beaupré, S. Cho, N. Coates, J. S. Moon, D. Moses, M. Leclerc, K. Less, and A. J. Heeger, Nat. Photonics 1749-4885 10.1038/nphoton.2009.69 3, 297 (2009).
2. M. C. Scharber, D. Mühlbacher, M. Koppe, P. Denk, C. Waldauf, A. J. Heeger, and C. J. Brabec, Adv. Mater. ADVMEW 0935-9648 10.1002/adma.200501717 18, 789 (2006).
3. T. Kietzke, D. A. M. Egbe, H.-H. Hörhold, and D. Neher, Macromolecules MAMOBX 0024-9297 10.1021/ma060199l 39, 4018 (2006). (Pubitemid 44021293)
4. V. D. Mihailetchi, P. W. M. Blom, J. C. Hummelen, and M. T. Rispens, J. Appl. Phys. 0021-8979 10.1063/1.1620683 94, 6849 (2001).
5. C. G. Shuttle, B. O'Regan, A. M. Ballantyne, J. Nelson, D. D. C. Bradley, and J. R. Durrant, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.113201 78, 113201 (2008).
6. A. Maurano, R. Hamilton, C. G. Shuttle, A. M. Ballantyne, J. Nelson, B. O'Regan, W. Zhang, I. McCulloch, H. Azimi, M. Morana, C. J. Brabec and J. R. Durrant, Adv. Mater. ADVMEW 0935-9648 10.1002/adma.201001922 22, 4987 (2010).
7. K. Vandewal, A. Gadisa, W. D. Oosterbaan, S. Bertho, F. Banishoeib, I. V. Severen, L. Lutsen, T. J. Cleij, D. Vanderzande, and J. V. Manca, Adv. Funct. Mater. AFMDC6 1616-301X 10.1002/adfm.200800056 18, 2064 (2008).
8. D. Veldman, S. C. J. Meskers, and R. A. J. Janssen, Adv. Funct. Mater. AFMDC6 1616-301X 10.1002/adfm.200900090 19, 1939 (2009).
9. K. Tvingstedt, K. Vandewal, A. Gadisa, F. Zhang, J. Manca, and O. Ingenäs, J. Amer. Chem. Soc. 0002-7863 10.1021/ja903100p 131, 11819 (2009).
10. K. Vandewal, K. Tvingstedt, A. Gadisa, J. V. Manca, Nat. Mater. 1476-1122 10.1038/nmat2548 8, 904 (2009).
11. C. Deibel, T. Strobel, V. Dyakonov, Adv. Mater. ADVMEW 0935-9648 10.1002/adma.201000376 22, 4097 (2010).
12. G. Garcia-Belmonte and J. Bisquert, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3358121 96, 113301 (2010).
13. J. C. Blakesley and N. C. Greenham, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.3187787 106, 034507 (2009).
14. L. J. A. Koster, V. D. Mihailetchi, R. Ramaker, and P. W. M. Blom, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1889240 86, 123509 (2005). (Pubitemid 40596956)
15. P. Langevin, Ann. Chim. Phys. 7, 433 (1903).
16. C. Groves and N. C. Greenham, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.155205 78, 155205 (2008).
17. M. P. Eng, P. R. F. Barnes, and J. R. Durrant, J. Phys. Chem. Lett. 1948-7185 10.1021/jz1011803 1, 3096 (2010).
18. P. Würfel, Physics of Solar Cells, 2nd ed. (Wiley-VCH, New York, 2009).
19. W. J. Potscavage Jr., A. Sharma, and B. Kippelen, Acc. Chem. Res. ACHRE4 0001-4842 10.1021/ar900139v 42, 1758 (2009).
20. M. D. Perez, C. Borek, S. R. Forrest, and M. E. Thompson, J. Amer. Chem. Soc. 0002-7863 10.1021/ja9007722 131, 9281 (2009).
21. B. P. Rand, D. P. Burk, and S. R. Forrest, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.115327 75, 115327 (2007).
22. C. Waldauf, M. C. Scharber, P. Schilinsky, J. A. Hauch, and C. J. Bravec, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2198930 99, 104503 (2006). (Pubitemid 43838561)
23. S. M. Sze, Semiconductor Devices, 2nd ed. (John Wiley & Sons, New York, 2002).
24. G. Garcia-Belmonte, P. P. Boix, J. Bisquert, M. Sessolo, and H. J. Bolink, Sol. Ener. Mater. and Sol. Cells 0927-0248 10.1016/j.solmat.2009.10.015 94, 366 (2010).
25. G. Juska, K. Genevicius, N. Nekrasas, G. Sliauzys, and G. Dennler, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2996588 93, 143303 (2008).
26. C. G. Shuttle, B. O'Regan, A. M. Ballantyne, J. Nelson, D. D. C. Bradley, J. de Mello, and J. R. Durrant, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2891871 92, 093311 (2008). (Pubitemid 351357448)
27. T. Sueyoshi, H. Fukagawa, M. Ono, S. Kera, and N. Ueno, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3258351 95, 183303 (2009).
28. O. Tal, Y. Rosenwaks, Y. Preezant, N. Tessler, C. K. Chan, and A. Kahn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.256405 95, 256405 (2005). (Pubitemid 41816009)
29. I. N. Hulea, H. B. Brom, A. J. Houtepen, D. Vanmaekelbergh, J. J. Kelly, and E. A. Meulenkamp, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 166601 93, 166601 (2004).
30. K. Celebi, P. J. Jadhav, K. M. Milaninia, M. Bora, and M. A. Baldo, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2976634 93, 083308 (2008).
31. H. Bässler, Phys. Stat. Sol. B 0370-1972 10.1002/pssb.2221750102 175, 15 (1993).
32. S. L. M. van Mensfoort and R. Coehoorn, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.085207 78, 085207 (2008).
33. C Tanase, E. J. Meijer, P. W. M. Blom, and D. M. de Leeuw, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.91.216601 91, 216601 (2004).
34. J. C. Blakesley, H. S. Clubb, and N. C. Greenham, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.045210 81, 045210 (2010).
35. V. I. Arkhipov, E. V. Emelianova, Y. H. Tak, and H. Bässler, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.368146 84, 848 (1998).
36. J. Hwang, A. Wan, and A. Kahn, Mater. Sci. and Eng. R64, 1 (2009).
37. I. Lange, J. C. Blakesley, J. Frisch, A. Vollmer, N. Koch, and D. Neher, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.106.216402 106, 216402 (2011).
38. ) 2].
39. M. Esteghamatian, Z. D. Popovic, and G. Xu, J. Phys. Chem. JPCHAX 0022-3654 10.1021/jp960341s 100, 13716 (1996).
40. R. A. Marsh, C. R. McNeil, A. Abrusci, A. R. Campbell, and R. H. Friend, Nano Lett. NALEFD 1530-6984 10.1021/nl080200p 8, 1393 (2008).
41. L. J. A. Koster, E. C. P. Smits, V. D. Mihailetchi, and P. W. M. Blom, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.085205 72, 085205 (2005). (Pubitemid 41506479)
42. C. L. Braun, J. Chem. Phys. 0021-9606 10.1063/1.447243 80, 4157 (1980).
43. f is the bound-pair decay rate, and K (0) is the equilibrium constant for dissociation at zero field, which depends on the relative energy and entropy of bound and free states. Two possible forms for K (0) are given in Ref. 42, though it is debatable whether either is applicable to the case of a BHJ interface. The equilibrium constant depends on the ratio of the number of possible free- and bound-state configurations available within the system, which will depend on factors such as the donor-acceptor interfacial area and the quantum-mechanical nature of the bound states. Neither of these is considered in the Braun model.
44. C. Groves, R. A. Marsh, and N. C. Greenham, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2977992 129, 114903 (2008).
45. C. Groves, J. C. Blakesley, and N. C. Greenham, Nano Lett. NALEFD 1530-6984 10.1021/nl900550j 10, 1 (2010).
46. M. J. Tan, W.-P. Goh, J. Li, G. Pundir, V. Chellappan, and Z.-K. Chen, Appl. Mater. Interf. 1944-8244 10.1021/am100078g 2, 1414 (2010).
47. J. Kniepert, M. Schubert, J. C. Blakesley and D. Neher, J. Phys. Chem. Lett. 1948-7185 10.1021/jz200155b 2, 700 (2011).
48. R. Mauer, I. A. Howard, and F. Laquai, J. Phys. Chem. Lett. 1948-7185 10.1021/jz101458y 1, 3500 (2010).
49. Y. Roichman and N. Tessler, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1461419 80, 1948 (2002). (Pubitemid 34326249)
50. P. Mark and W. Helfrich, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1728487 33, 205 (1962).
51. R. Steyrleuthner, S. Bange and D. Neher, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.3086307 105, 064509 (2009).
52. A. Salleo, T. W. Chen, A. R. Völkel, Y. Wu, P. Liu, B. S. Ong, and R. A. Street, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.115311 70, 115311 (2004).
53. W. F. Pasveer, J. Cottaar, C. Tanase, R. Coehoorn, P. W. M. Blom, D. M. de Leeuw, and M. A. J. Michels, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.206601 94, 206601 (2005). (Pubitemid 41481101)
54. I. I. Fishchuk, V. I. Arkhipov, A. Kadashchuk, P. Heremans, and H. Bässler, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.045210 76, 045210 (2007).
55. L. Li, S. Van Winckel, J. Genoe, and P. Heremans, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3246160 95, 153301 (2009).
56. P. R. Emtage and J. J. O'Dwyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.16.356 16, 356 (1966).
57. J. C. Scott and G. G. Malliaras, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/S0009-2614(98)01277-9 299, 115 (1999).
58. Z. B. Wang, M. G. Helander, M. T. Greiner, J. Qiu, and Z. H. Lu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.235325 80, 235325 (2009).
59. P. W. M. Blom, V. D. Mihailetchi, L. J. A. Koster, and D. E. Markov, Adv. Mater 0935-9648 10.1002/adma.200601093 19, 1551 (2007). (Pubitemid 47153131)
60. M. Lenes, M. Morana, C. J. Brabec, and P. W. M. Blom, Adv. Funct. Mater. AFMDC6 1616-301X 10.1002/adfm.200801514 19, 1106 (2009).
61. M. Kemerink, J. M. Kramer, H. H. P. Gommans, and R. A. J. Janssen, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2205007 88, 192108 (2006). (Pubitemid 43736712)
62. P. Kumar, S. C. Jain, H. Kumar, S. Chand, and V. Kumar, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3129194 94, 183505 (2009).
63. D. Cheyns, J. Poortmans, P. Heremans, C. Deibel, S. Verlaak, B. P. Rand, and J. Genoe, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.165332 77, 165332 (2008).
64. C. J. Brabec, A. Cravino, D. Meissner, N. S. Sariciftci, T. Fromherz, M. T. Rispens, L. Sanchez, and J. C. Hummeln, Adv. Funct. Mater. 1616-301X 10.1002/1616-3028(200110)11:5<374::AID-ADFM374>3.0.CO;2-W 11, 374 (2001). (Pubitemid 33050758)
65. H. Bässler, Polym. Adv. Technol. 1042-7147 10.1002/(SICI)1099- 1581(199807)9:7<402::AID-PAT796>3.0.CO;2-6 9, 402 (1998).
66. C. G. Shuttle, A. Maurano, R. Hamilton, B. O'Regan, J. C. de Mello, and J. R. Durrant, Appl. Phys. Lett. 0003-6951 10.1063/1.3006316 93, 183501 (2008).
67. S. Braun, W. R. Salaneck, and M Fahlman, Adv. Mater. ADVMEW 0935-9648 10.1002/adma.200802893 21, 1450 (2009).
68. T. Tiedje, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.93168 40, 627 (1982).
69. A. J. Mozer and N. S. Sariciftci, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/j.cplett.2004.04.001 389, 438 (2004).
70. J. M. Guo, H. Ohkita, H. Benten, and S. Ito, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja100302p 132, 6154 (2010).
71. Y. Zhang, B. de Boer, and P. W. M. Blom, Phys. Rev. B 1098-0121 10.1103/PhysRevB.81.085201 91, 085201 (2010).
72. C. Deibel, A. Wagenpfal, and V. Dyakonov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.075203 80, 075203 (2009).
73. T. Kirchartz, B. E. Pieters, J. Kirkpatrick, U. Rau, and J. Nelson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.115209 83, 115209 (2011).