The slow decay of charge carriers in polymer–fullerene blends measured in transient studies has raised a number of questions about the mechanisms of nongeminate recombination in these systems. In an attempt to understand this behavior, we have applied a combination of steady-state and transient photoinduced absorption measurements to compare nongeminate recombination behavior in films of neat poly(3-hexyl thiophene) (P3HT) and P3HT blended with [6,6]-phenyl-C61 butyric acid methyl ester (PCBM). Transient measurements show that carrier recombination in the neat P3HT film exhibits second-order decay with a recombination rate coefficient that is similar to that predicted by Langevin theory. In addition, temperature dependent measurements indicate that neat films exhibit recombination behavior consistent with the Gaussian disorder model. In contrast, the P3HT:PCBM blend films are characterized by a strongly reduced recombination rate and an apparent recombination order greater than two. We then assess a number of previously proposed explanations for this behavior including phase separation, carrier concentration dependent mobility, non-encounter limited recombination, and interfacial states. In the end, we propose a model in which pure domains with a Gaussian density of states are separated by a mixed phase with an exponential density of states. We find that such a model can explain both the reduced magnitude of the recombination rate and the high order recombination kinetics and, based on the current state of knowledge, is the most consistent with experimental observations.

1.
M. A.
Green
,
K.
Emery
,
Y.
Hishikawa
,
W.
Warta
, and
E. D.
Dunlop
,
Prog. Photovoltaics
20
,
12
(
2012
).
2.
A.
Pivrikas
,
G.
Juška
,
A. J.
Mozer
,
M.
Scharber
,
K.
Arlauskas
,
N. S.
Sariciftci
,
H.
Stubb
, and
R.
Österbacka
,
Phys. Rev. Lett.
94
,
176806
(
2005
).
3.
P.
Parkinson
,
J.
Lloyd-Hughes
,
M. B.
Johnston
, and
L. M.
Herz
,
Phys. Rev. B
78
,
115321
(
2008
).
4.
T. M.
Clarke
,
D. B.
Rodovsky
,
A. A.
Herzing
,
J.
Peet
,
G.
Dennler
,
D.
DeLongchamp
,
C.
Lungenschmied
, and
A. J.
Mozer
,
Adv. Energy Mater.
1
,
1062
(
2011
).
5.
A.
Zusan
,
B.
Gieseking
,
J.
Rauh
,
A.
Baumann
,
K.
Tvingstedt
,
B.
Mueller
,
M.
Gluecker
,
V.
Dyakonov
, and
C.
Deibel
, “
Being trapped on acceptor islands-influence of structural changes on the nongeminate recombination in PTB7:PC70BM solar cells
” (unpublished).
6.
P.
Langevin
,
Ann. Chim. Phys.
28
,
433
(
1903
).
7.
J.
Guo
,
H.
Ohkita
,
S.
Yokoya
,
H.
Benten
, and
S.
Ito
,
J. Am. Chem. Soc.
132
,
9631
(
2010
).
8.
C.
Deibel
and
V.
Dyakonov
,
Rep. Prog. Phys.
73
,
096401
(
2010
).
9.
C.
Deibel
,
A.
Wagenpfahl
, and
V.
Dyakonov
,
Phys. Rev. B
80
,
075203
(
2009
).
10.
C.
Deibel
,
A.
Baumann
, and
V.
Dyakonov
,
Appl. Phys. Lett.
93
,
163303
(
2008
).
11.
12.
A.
Foertig
,
A.
Baumann
,
D.
Rauh
,
V.
Dyakonov
, and
C.
Deibel
,
Appl. Phys. Lett.
95
,
052104
(
2009
).
13.
C. G.
Shuttle
,
R.
Hamilton
,
J.
Nelson
,
B. C.
O'Regan
, and
J. R.
Durrant
,
Adv. Funct. Mater.
20
,
698
(
2010
).
14.
J.
Kniepert
,
M.
Schubert
,
J. C.
Blakesley
, and
D.
Neher
,
J. Phys. Chem. Lett.
2
,
700
(
2011
).
15.
M.
Mingebach
,
S.
Walter
,
V.
Dyakonov
, and
C.
Deibel
,
Appl. Phys. Lett.
100
,
193302
(
2012
).
16.
G. -J. A. H.
Wetzelaer
,
N. J.
Van der Kaap
,
L. J. A.
Koster
, and
P. W. M.
Blom
,
Adv. Energy Mater.
3
,
1130
(
2013
).
17.
J.
Piris
,
T.
Dykstra
,
A.
Bakulin
,
P.
van Loosdrecht
,
W.
Knulst
,
M. T.
Trinh
,
J.
Schins
, and
L.
Siebbeles
,
J. Phys. Chem. C
113
,
14500
(
2009
).
18.
W. J.
Grzegorczyk
,
T. J.
Savenije
,
T. E.
Dykstra
,
J.
Piris
,
J. M.
Schins
, and
L. D.
Siebbeles
,
J. Phys. Chem. C
114
,
5182
(
2010
).
19.
I. A.
Howard
,
R.
Mauer
,
M.
Meister
, and
F.
Laquai
,
J. Am. Chem. Soc.
132
,
14866
(
2010
).
20.
H.
Ohkita
,
S.
Cook
,
Y.
Astuti
,
W.
Duffy
,
S.
Tierney
,
W.
Zhang
,
M.
Heeney
,
I.
McCulloch
,
J.
Nelson
,
D. D. C.
Bradley
, and
J. R.
Durrant
,
J. Am. Chem. Soc.
130
,
3030
(
2008
).
21.
J. L.
Delgado
,
E.
Espildora
,
M.
Liedtke
,
A.
Sperlich
,
D.
Rauh
,
A.
Baumann
,
C.
Deibel
,
V.
Dyakonov
, and
N.
Martín
,
Chem. Eur. J.
15
,
13474
(
2009
).
22.
J.
Schafferhans
,
A.
Baumann
,
A.
Wagenpfahl
,
C.
Deibel
, and
V.
Dyakonov
,
Org. Electron.
11
,
1693
(
2010
).
23.
J. E.
Kroeze
,
T. J.
Savenije
, and
J.
Warman
,
J. Am. Chem. Soc.
126
,
7608
(
2004
).
24.
A.
Baumann
,
J.
Lorrmann
,
D.
Rauh
,
C.
Deibel
, and
V.
Dyakonov
,
Adv. Mater.
24
,
4381
(
2012
).
25.
C.
Deibel
,
D.
Mack
,
J.
Gorenflot
,
A.
Schöll
,
S.
Krause
,
F.
Reinert
,
D.
Rauh
, and
V.
Dyakonov
,
Phys. Rev. B
81
,
085202
(
2010
).
26.
X.
Jiang
,
R.
Österbacka
,
O.
Korovyanko
,
C. P.
An
,
B.
Horovitz
,
R. A. J.
Janssen
, and
Z. V.
Vardeny
,
Adv. Funct. Mater.
12
,
587
(
2002
).
27.
P. A.
van Hal
,
M. P. T.
Christiaans
,
M. M.
Wienk
,
J. M.
Kroon
, and
R. A. J.
Janssen
,
J. Phys. Chem. B
103
,
4352
(
1999
).
28.
C. J.
Brabec
,
A.
Cravino
,
D.
Meissner
,
N. S.
Sariciftci
,
T.
Fromherz
,
M. T.
Rispens
,
L.
Sanchez
, and
J. C.
Hummelen
,
Adv. Funct. Mater.
11
,
374
(
2001
).
29.
P. J.
Brown
,
H.
Sirringhaus
,
M.
Harrison
,
M.
Shkunov
, and
R. H.
Friend
,
Phys. Rev. B
63
,
125204
(
2001
).
30.
A. J.
Ferguson
,
N.
Kopidakis
,
S. E.
Shaheen
, and
G.
Rumbles
,
J. Phys. Chem. C
115
,
23134
(
2011
).
31.
T.
Leijtens
,
J.
Lim
,
J.
Teuscher
,
T.
Park
, and
H. J.
Snaith
,
Adv. Mater.
25
,
3227
(
2013
).
32.
R. D.
Pensack
and
J. B.
Asbury
,
J. Am. Chem. Soc.
131
,
15986
(
2009
).
33.
R. A.
Street
,
S.
Cowan
, and
A. J.
Heeger
,
Phys. Rev. B
82
,
121301
(
2010
).
34.
A. J.
Mozer
,
N. S.
Sariciftci
,
A.
Pivrikas
,
R.
Österbacka
,
G. G.
Juška
,
L.
Brassat
, and
H.
Bässler
,
Phys. Rev. B
71
,
035214
(
2005
).
35.
R.
Mauer
,
M.
Kastler
, and
F.
Laquai
,
Adv. Funct. Mater.
20
,
2085
(
2010
).
36.
J.
Schafferhans
,
A.
Baumann
,
C.
Deibel
, and
V.
Dyakonov
,
Appl. Phys. Lett.
93
,
093303
(
2008
).
37.
F. W.
Schmidlin
,
Phys. Rev. B
16
,
2362
(
1977
).
38.
J.
Noolandi
,
Phys. Rev. B
16
,
4466
(
1977
).
39.
J. O.
Oelerich
,
D.
Huemmer
, and
S. D.
Baranovskii
,
Phys. Rev. Lett.
108
,
226403
(
2012
).
40.
T.
Kirchartz
,
B. E.
Pieters
,
J.
Kirkpatrick
,
U.
Rau
, and
J.
Nelson
,
Phys. Rev. B
83
,
115209
(
2011
).
41.
A.
Foertig
,
J.
Rauh
,
V.
Dyakonov
, and
C.
Deibel
,
Phys. Rev. B
86
,
115302
(
2012
).
42.
C.
Deibel
,
D.
Rauh
, and
A.
Foertig
,
Appl. Phys. Lett.
103
,
043307
(
2013
).
43.
H.
Bässler
,
Phys. Status Solidi B
175
,
15
(
1993
).
44.
W. F.
Pasveer
,
J.
Cottaar
,
C.
Tanase
,
R.
Coehoorn
,
P. A.
Bobbert
,
P. W. M.
Blom
,
D. M.
de Leeuw
, and
M. A. J.
Michels
,
Phys. Rev. Lett.
94
,
206601
(
2005
).
45.
G.
Juška
,
K.
Genevičius
,
N.
Nekrašas
,
G.
Sliaužys
, and
R.
Österbacka
,
Appl. Phys. Lett.
95
,
013303
(
2009
).
46.
C.
Groves
and
N. C.
Greenham
,
Phys. Rev. B
78
,
155205
(
2008
).
47.
T.
Erb
,
U.
Zhokhavets
,
U.
Gobsch
,
S.
Raleva
,
B.
Stühn
,
P.
Schilinsky
,
C.
Waldauf
, and
C.
Brabec
,
Adv. Funct. Mater.
15
,
1193
(
2005
).
48.
L. J. A.
Koster
,
V. D.
Mihaletchi
, and
P. W. M.
Blom
,
Appl. Phys. Lett.
88
,
052104
(
2006
).
49.
A.
Baumann
,
T. J.
Savenije
,
D. H. K.
Murthy
,
M.
Heeney
,
V.
Dyakonov
, and
C.
Deibel
,
Adv. Funct. Mater.
21
,
1687
1692
(
2011
).
50.
S. S.
van Bavel
,
E.
Sourty
,
G.
de With
, and
J.
Loos
,
Nano Lett.
9
,
507
(
2009
).
51.
M.
Pfannmöller
,
H.
Flügge
,
G.
Benner
,
I.
Wacker
,
C.
Sommer
,
M.
Hanselmann
,
S.
Schmale
,
H.
Schmidt
,
F. A.
Hamprecht
,
T.
Rabe
,
W.
Kowalsky
, and
R. R.
Schröder
,
Nano Lett.
11
,
3099
(
2011
).
52.
D.
Rauh
,
C.
Deibel
, and
V.
Dyakonov
,
Adv. Funct. Mater.
22
,
3371
(
2012
).
53.
T. J.
Savenije
,
D. H. K.
Murthy
,
M.
Gunz
,
J.
Gorenflot
,
L. D. A.
Siebbeles
,
V.
Dyakonov
, and
C.
Deibel
,
J. Phys. Chem. Lett.
2
,
1368
(
2011
).
54.
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
).
55.
M.
Hilczer
and
M.
Tachiya
,
J. Phys. Chem. C
114
,
6808
(
2010
).
56.
B. A.
Collins
,
E.
Gann
,
L.
Guignard
,
X.
He
,
C. R.
McNeill
, and
H.
Ade
,
J. Phys. Chem. Lett.
1
,
3160
(
2010
).
57.
K.
Vandewal
,
K.
Tvingstedt
,
A.
Gadisa
,
O.
Inganäs
, and
J. V.
Manca
,
Nature Mater.
8
,
904
(
2009
).
58.
R. A.
Street
,
M.
Schoendorf
,
A.
Roy
, and
J. H.
Lee
,
Phys. Rev. B
81
,
205307
(
2010
).
59.
C.
Deibel
and
A.
Wagenpfahl
,
Phys. Rev. B
82
,
207301
(
2010
).
60.
R. A.
Street
,
Phys. Rev. B
82
,
207302
(
2010
).
61.
M.
Presselt
,
F.
Herrmann
,
S.
Shokhovets
,
H.
Hoppe
,
E.
Runge
, and
G.
Gobsch
,
Chem. Phys. Lett.
542
,
70
(
2012
).
62.
D. P.
McMahon
,
D. L.
Cheung
, and
A.
Troisi
,
J. Phys. Chem. Lett.
2
,
2737
(
2011
).
63.
F. C.
Jamieson
,
E. B.
Domingo
,
T.
McCarthy-Ward
,
M.
Heeney
,
N.
Stingelin
, and
J. R.
Durrant
,
Chem. Sci.
3
,
485
(
2012
).
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