A theory describing vibronic coupling in direct band gap, one-dimensional semiconductors is developed to account for the photophysical properties of isolated, defect-free conjugated polymers. A Holstein-like Hamiltonian represented in a multi-particle basis set is used to evaluate absorption and emission due to Wannier-Mott excitons. The photophysical properties of such quantum wires are shown to strongly resemble those of Frenkel exciton J-aggregates. The 11Bu exciton coherence length and effective mass are readily determined from the ratio of the 0–0 and 0–1 line strengths, I0 − 0/I0 − 1, in the photoluminescence spectrum. I0 − 0/I0 − 1 is shown to follow a T−1/2 dependence, in an excellent agreement with experiments on the red-phase of polydiacteylene.
REFERENCES
1.
E.
Collini
and G. D.
Scholes
, Science
323
(5912
), 369
(2009
).2.
F.
Dubin
, R.
Melet
, T.
Barisien
, R.
Grousson
, L.
Legrand
, M.
Schott
, and V.
Voliotist
, Nat. Phys.
2
(1
), 32
(2006
).3.
F. C.
Spano
, J.
Clark
, C.
Silva
, and R. H.
Friend
, J. Chem. Phys.
130
(7
), 074904
(2009
).4.
F. C.
Spano
, Acc. Chem. Res.
43
(3
), 429
(2010
).5.
F. C.
Spano
and H.
Yamagata
, J. Phys. Chem. B
115
(18
), 5133
(2011
).6.
M. Y.
Lavrentiev
, W.
Barford
, S. J.
Martin
, H.
Daly
, and R. J.
Bursill
, Phys. Rev. B
59
(15
), 9987
(1999
).7.
W.
Barford
, R. J.
Bursill
, and R. W.
Smith
, Phys. Rev. B
66
(11
), 115205
(2002
).8.
W.
Barford
, Electronic and Optical Properties of Conjugated Polymers
(Clarendon
, Oxford
, 2005
).9.
M. R.
Philpott
, J. Chem. Phys.
55
, 2039
(1971
).10.
F. C.
Spano
, J. Chem. Phys.
116
, 5877
(2002
).11.
F. C.
Spano
, Ann. Rev. Phys. Chem.
57
, 217
(2006
).12.
A.
Stradomska
and P.
Petelenz
, J. Chem. Phys.
130
(9
), 094705
(2009
).13.
A.
Stradomska
and P.
Petelenz
, J. Chem. Phys.
131
(4
), 044507
(2009
).14.
M.
Hoffmann
and Z. G.
Soos
, Phys. Rev. B
66
, 024305
(2002
).15.
A. J.
Heeger
, S.
Kivelson
, J. R.
Schrieffer
, and W. P.
Su
, Rev. Mod. Phys.
60
(3
), 781
(1988
).16.
M.
Schott
, in Photophysics of Molecular Materials: From Single Molecules to Single Crystals
, edited by G.
Lanzani
(Wiley-VCH
, Weinheim
, 2006
), p. 49
.17.
R.
Lecuiller
, J.
Berrehar
, C.
Lapersonne-Meyer
, M.
Schott
, and J. D.
Ganiere
, Chem. Phys. Lett.
314
, 255
(1999
).18.
R.
Lecuiller
, J.
Berrehar
, J. D.
Ganiere
, C.
Lapersonne-Meyer
, P.
Lavallard
, and M.
Schott
, Phys Rev. B
66
(12
), 125205
(2002
).19.
F.
Dubin
, J.
Berrehar
, R.
Grousson
, T.
Guillet
, C.
Lapersonne-Meyer
, M.
Schott
, and V.
Voliotis
, Phys. Rev. B
66
(11
), 113202
(2002
).20.
T.
Barisien
, L.
Legrand
, G.
Weiser
, J.
Deschamps
, M.
Balog
, B.
Boury
, S. G.
Dutremez
, and M.
Schott
, Chem. Phys. Lett.
444
, 309
(2007
).21.
B. E.
Kohler
and D. E.
Schilke
, J. Chem. Phys.
86
, 5214
(1987
).22.
D. S.
Citrin
, Phys. Rev. Lett.
69
, 3393
(1992
).23.
R. E.
Merrifield
, J. Chem. Phys.
34
, 1835
(1961
).24.
F. C.
Spano
, Phys. Rev. B
71
, 235208
(2005
).25.
F. C.
Spano
, J. Chem. Phys.
120
, 7643
(2004
).26.
J.
Cornil
, D.
Beljonne
, C. M.
Heller
, I. H.
Campbell
, B. K.
Laurich
, D. L.
Smith
, D. D. C.
Bradley
, K.
Mullen
, and J. L.
Bredas
, Chem. Phys. Lett.
278
, 139
(1997
).27.
M. J.
Walter
and J. M.
Lupton
, Phys. Rev. Lett.
103
, 167401
(2009
).28.
E.
Hennebicq
, G.
Pourtois
, G. D.
Scholes
, L. M.
Herz
, D. M.
Russell
, C.
Silva
, S.
Setayesh
, A. C.
Grimsdale
, K.
Mullen
, J. L.
Bredas
, and D.
Beljonne
, J. Am. Chem. Soc.
127
(13
), 4744
(2005
).30.
A.
Horvath
, G.
Weiser
, C.
LapersonneMeyer
, M.
Schott
, and S.
Spagnoli
, Phys. Rev. B
53
(20
), 13507
(1996
).31.
J-aggregates
, edited by T.
Kobayashi
(World Scientific
, Singapore
, 1996
).32.
S.
Deboer
and D. A.
Wiersma
, Chem. Phys. Lett.
165
(1
), 45
(1990
).33.
H.
Fidder
, J.
Knoester
, and D. A.
Wiersma
, Chem. Phys. Lett.
171
(5–6
), 529
(1990
).34.
F.
Dubin
, J.
Berrehar
, R.
Grousson
, M.
Schott
, and V.
Voliotis
, Phys Rev. B
73
(12
), 121302
(2006
).35.
G.
Weiser
and J.
Berrehar
, Phys. Rev. Lett.
99
(19
), 196401
(2007
).36.
Z.
Zhao
and F. C.
Spano
, J. Phys. Chem. C
111
, 6113
(2007
).37.
R.
Chang
, J. H.
Hsu
, W. S.
Fann
, K. K.
Liang
, C. H.
Chang
, M.
Hayashi
, J.
Yu
, S. H.
Lin
, E. C.
Chang
, K. R.
Chuang
, and S. A.
Chen
, Chem. Phys. Lett.
317
, 142
(2000
).38.
F. C.
Spano
, L.
Silvestri
, P.
Spearman
, L.
Raimondo
, and S.
Tavazzi
, J. Chem. Phys.
127
(18
), 184703
(2007
).39.
W.
Barford
, I.
Boczarow
, and T.
Wharram
, “Ultrafast dynamical localization of photoexcited states in conformationally disordered poly(p-phenylenevinylene)
,” J. Phys. Chem. B
(in press).40.
J. M.
Lupton
, Adv. Mater.
22
(15
), 1689
(2010
).41.
Z. H.
Yu
and P. F.
Barbara
, J. Phys. Chem. B
108
(31
), 11321
(2004
).42.
E.
Da Como
, N. J.
Borys
, P.
Strohriegl
, M. J.
Walter
, and J. M.
Lupton
, J. Am. Chem. Soc.
133
(11
), 3690
(2011
).43.
G.
Heimel
, M.
Daghofer
, J.
Gierschner
, E. J. W.
List
, A. C.
Grimsdale
, K.
Mullen
, D.
Beljonne
, J. L.
Bredas
, and E.
Zojer
, J. Chem. Phys.
122
(5
), 054501
(2005
).44.
K.
Pichler
, D. A.
Halliday
, D. D. C.
Bradley
, P. L.
Burns
, R. H.
Friend
, and A. B.
Holmes
, J. Phys.: Condens. Matter
5
, 7155
(1993
).45.
M. A. T.
da Silva
, I. F. L.
Dias
, J. L.
Duarte
, E.
Laureto
, I.
Silvestre
, L. A.
Cury
, and P. S. S.
Guimaraes
, J. Chem. Phys.
128
, 094902
(2008
).46.
J.
Clark
, C.
Silva
, R. H.
Friend
, and F. C.
Spano
, Phys. Rev. Lett.
98
(20
), 206406
(2007
).© 2011 American Institute of Physics.
2011
American Institute of Physics
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