[en] We implement a simple, continuous, analytical model for exciton hopping in an energetically disordered molecular landscape. The model is parameterized against atomistic and lattice Monte Carlo simulations based on quantum-chemical calculations. It captures the essential physics of exciton diffusion in disordered media at different temperatures and yields a universal scaling law of the diffusion length with the dimensionless disorder parameter given by the ratio of the energetic disorder width to the thermal energy.
Disciplines :
Physics
Author, co-author :
Athanasopoulos, Stavros ; Université de Mons > Faculté des Sciences > Chimie des matériaux nouveaux
Emelianova, Evguenia ; Université de Mons > Faculté des Sciences > Chimie des matériaux nouveaux
Walker, A.B.
Beljonne, David ; Université de Mons > Faculté des Sciences > Service de Chimie des matériaux nouveaux
Language :
English
Title :
Exciton Diffusion in Energetically Disordered Organic Materials
Publication date :
19 November 2009
Journal title :
Physical Review. B, Condensed Matter
ISSN :
0163-1829
Publisher :
American Physical Society, Moldova
Volume :
80
Issue :
19
Pages :
195209
Peer reviewed :
Peer Reviewed verified by ORBi
Research unit :
S817 - Chimie des matériaux nouveaux
Research institute :
R400 - Institut de Recherche en Science et Ingénierie des Matériaux
G. Li, V. Shrotriya, J. S. Huang, Y. Yao, T. Moriarty, K. Emery, and Y. Yang, Nature Mater. 4, 864 (2005). 10.1038/nmat1500
P. Peumans, A. Yakimov, and S. R. Forrest, J. Appl. Phys. 93, 3693 (2003). 10.1063/1.1534621
H. Sirringhaus, Nature (London) 401, 685 (1999). 10.1038/44359 (Pubitemid 29485210)
J. S. Kim, J. Am. Chem. Soc. 130, 13120 (2008). 10.1021/ja803766j
Y. S. Huang, S. Westenhoff, I. Avilov, P. Sreearunothai, J. M. Hodgkiss, C. Deleener, R. H. Friend, and D. Beljonne, Nature Mater. 7, 483 (2008). 10.1038/nmat2182 (Pubitemid 351733446)
M. C. Scharber, D. Wuhlbacher, M. Koppe, P. Denk, C. Waldauf, A. J. Heeger, and C. L. Brabec, Adv. Mater. 18, 789 (2006). 10.1002/adma.200501717
P. W. M. Blom, V. D. Mihailetchi, L. J. A. Koster, and D. E. Markov, Adv. Mater. 19, 1551 (2007). 10.1002/adma.200601093 (Pubitemid 47153131)
P. K. Watkins, A. B. Walker, and G. L. B. Verschoor, Nano Lett. 5, 1814 (2005). 10.1021/nl051098o (Pubitemid 41396170)
A. J. Lewis, A. Ruseckas, O. P. M. Gaudin, G. R. Webster, P. L. Burn, and I. D. W. Samuel, Org. Electron. 7, 452 (2006). 10.1016/j.orgel.2006.05.009 (Pubitemid 44751655)
P. E. Shaw, A. Ruseckas, and I. D. W. Samuel, Adv. Mater. 20, 3516 (2008). 10.1002/adma.200800982
M. A. Stevens, C. Silva, D. M. Russell, and R. H. Friend, Phys. Rev. B 63, 165213 (2001). 10.1103/PhysRevB.63.165213
A. Huijser, T. J. Savenije, S. C. J. Meskers, M. J. W. Vermeulen, and L. D. A. Siebbeles, J. Am. Chem. Soc. 130, 12496 (2008). 10.1021/ja803753y
J. E. Kroeze, T. J. Savenije, M. J. W. Vermeulen, and J. M. Warman, J. Phys. Chem. B 107, 7696 (2003). 10.1021/jp0217738
J. J. M. Halls, K. Pichler, R. H. Friend, S. C. Moratti, and A. B. Holmes, Appl. Phys. Lett. 68, 3120 (1996). 10.1063/1.115797 (Pubitemid 126684227)
L. A. A. Pettersson, L. S. Roman, and O. Inganas, J. Appl. Phys. 86, 487 (1999). 10.1063/1.370757
S. Yoo, B. Domercq, and B. Kippelen, Appl. Phys. Lett. 85, 5427 (2004). 10.1063/1.1829777 (Pubitemid 40043600)
O. V. Mikhnenko, F. Cordella, A. B. Sieval, J. C. Hummelen, P. W. M. Blom, and M. A. Loi, J. Phys. Chem. B 112, 11601 (2008). 10.1021/jp8042363
M. Stoessel, J. Appl. Phys. 87, 4467 (2000). 10.1063/1.373093
D. E. Markov, E. Amsterdam, P. W. M. Blom, A. B. Sieval, and J. C. Hummelen, J. Phys. Chem. A 109, 5266 (2005). 10.1021/jp0509663
S. R. Scully and M. D. McGehee, J. Appl. Phys. 100, 034907 (2006). 10.1063/1.2226687
D. E. Markov, C. Tanase, P. W. M. Blom, and J. Wildeman, Phys. Rev. B 72, 045217 (2005). 10.1103/PhysRevB.72.045217 (Pubitemid 41526585)
A. Haugeneder, M. Neges, C. Kallinger, W. Spirkl, U. Lemmer, J. Feldmann, U. Scherf, E. Harth, A. Gugel, and K. Mullen, Phys. Rev. B 59, 15346 (1999). 10.1103/PhysRevB.59.15346
A. Mani, J. Schoonman, and A. Goossens, J. Phys. Chem. B 109, 4829 (2005). 10.1021/jp045916x
M. Stella, C. Voz, J. Puigdollers, F. Rojas, A. Fonrodona, J. Escarre, J. M. Asensi, J. Bertomeu, and J. Andreu, J. Non-Cryst. Solids. 352, 1663 (2006). 10.1016/j.jnoncrysol.2005.09.048 (Pubitemid 43948962)
C. X. Sheng, Z. V. Vardeny, A. B. Dalton, and R. H. Baughman, Phys. Rev. B 71, 125427 (2005). 10.1103/PhysRevB.71.125427 (Pubitemid 40771145)
J. Gierschner, Y. S. Huang, B. Van Averbeke, J. Cornil, R. H. Friend, and D. Beljonne, J. Chem. Phys. 130, 044105 (2009). 10.1063/1.3065267
S. Westenhoff, C. Daniel, R. H. Friend, C. Silva, V. Sundstrom, and A. Yartsev, J. Chem. Phys. 122, 094903 (2005). 10.1063/1.1855292 (Pubitemid 41042178)
S. C. J. Meskers, J. Hubner, M. Oestreich, and H. Bassler, J. Phys. Chem. B 105, 9139 (2001). 10.1021/jp0113331 (Pubitemid 35338708)
C. Didraga, V. A. Malyshev, and J. Knoester, J. Phys. Chem. B 110, 18818 (2006). 10.1021/jp0569281 (Pubitemid 44547264)
V. M. Burlakov, K. Kawata, H. E. Assender, G. A. D. Briggs, A. Ruseckas, and I. D. W. Samuel, Phys. Rev. B 72, 075206 (2005). 10.1103/PhysRevB.72.075206 (Pubitemid 41506509)
G. D. Scholes and G. Rumbles, Nature Mater. 5, 683 (2006). 10.1038/nmat1710 (Pubitemid 44320320)
W. Barford, J. Chem. Phys. 126, 134905 (2007). 10.1063/1.2714516 (Pubitemid 46550272)
W. Barford and C. D. P. Duffy, Phys. Rev. B 74, 075207 (2006). 10.1103/PhysRevB.74.075207 (Pubitemid 44310581)
G. Schnönherr, R. Eiermann, H. Bässler, and M. Silver, Chem. Phys. 52, 287 (1980). 10.1016/0301-0104(80)85232-3
C. Madigan and V. Bulovic, Phys. Rev. Lett. 96, 046404 (2006). 10.1103/PhysRevLett.96.046404 (Pubitemid 43270875)
J. M. Jean, C. K. Chan, G. R. Fleming, and T. G. Owens, Biophys. J. 56, 1203 (1989). 10.1016/S0006-3495(89)82767-5
G. Trinkunas and A. R. Holzwarth, Biophys. J. 66, 415 (1994). 10.1016/S0006-3495(94)80792-1
Y. W. Jia, J. M. Jean, M. M. Werst, C. K. Chan, and G. R. Fleming, Biophys. J. 63, 259 (1992). 10.1016/S0006-3495(92)81589-8
T. Pullerits and A. Freiberg, Biophys. J. 63, 879 (1992). 10.1016/S0006-3495(92)81688-0
S. Athanasopoulos, E. Hennebicq, D. Beljonne, and A. B. Walker, J. Phys. Chem. C 112, 11532 (2008). 10.1021/jp802704z
V. I. Arkhipov, E. V. Emelianova, and G. J. Adriaenssens, Phys. Rev. B 64, 125125 (2001). 10.1103/PhysRevB.64.125125
V. I. Arkhipov, E. V. Emelianova, and H. Bässler, Philos. Mag. B 81, 985 (2001). 10.1080/13642810108205785
T. S. Ahn, N. Wright, and C. J. Bardeen, Chem. Phys. Lett. 446, 43 (2007). 10.1016/j.cplett.2007.08.003 (Pubitemid 47379639)
V. I. Arkhipov, E. V. Emelianova, and H. Bassler, Chem. Phys. Lett. 383, 166 (2004). 10.1016/j.cplett.2003.11.008
E. Hennebicq, J. Am. Chem. Soc. 127, 4744 (2005). 10.1021/ja0488784
J. Ridley and M. Zerner, Theor. Chim. Acta 32, 111 (1973). 10.1007/BF00528484
I. Avramov, A. Milchev, and P. Argyrakis, Phys. Rev. E 47, 2303 (1993). 10.1103/PhysRevE.47.2303
A. Horner, A. Milchev, and P. Argyrakis, Phys. Rev. E 52, 3570 (1995). 10.1103/PhysRevE.52.3570
K. M. Gaab and C. J. Bardeen, J. Phys. Chem. A 108, 10801 (2004). 10.1021/jp0464472 (Pubitemid 40003221)
T. Pullerits, O. Mirzov, and I. G. Scheblykin, J. Phys. Chem. B 109, 19099 (2005). 10.1021/jp052189c (Pubitemid 41541107)
K. M. Gaab and C. J. Bardeen, J. Phys. Chem. B 108, 4619 (2004). 10.1021/jp036120l
A. D. Stein, K. A. Peterson, and M. D. Fayer, J. Chem. Phys. 92, 5622 (1990). 10.1063/1.458494
M. Schlosser and S. Lochbrunner, J. Phys. Chem. B 110, 6001 (2006). 10.1021/jp0557565
H. Bässler, Phys. Status Solidi B 175, 15 (1993). 10.1002/pssb.2221750102
H. Bassler, Int. J. Mod. Phys. B 8, 847 (1994). 10.1142/S0217979294000385
