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transport distances remains short enough
to avoid free carrier recombination.
[4,5]
However, this comes at the expense of
light absorption efficiency, which gener-
ally increases with d
active
and dictates the
maximum achievable photocurrent.
Traditionally, the loss of free carriers
has been described as non-geminate
(recombined electron and hole originate
from different excited states) and bimo-
lecular (second order recombination rate
that depends on the square of the free
carrier density).
[6]
While the loss of free
carriers is intuitively non-geminate, bimo-
lecular recombination can only be linked
to free carrier loss if it depends on the
distance electrons and holes are required
to travel to reach their respective exit con-
tacts. While this has been inferred from
comparisons of separate devices where
d
active
[7]
or carrier mobilities
[8,9]
are varied,
such comparisons may convolve unintentional morphological
changes from altered processing conditions. In our recent
work,
[10]
we also showed an indirect link between bimolecular
recombination and the distance required for carriers to transit
the active layer, but again comparisons were made between dif-
ferent samples with different d
active
and electron/hole transport
interlayers. Finally, device models
[6,11]
have also predicted that
increasing d
active
will lead to greater bimolecular recombina-
tion,
[12]
but this effect is to be expected since free carriers are
assumed to be lost only through this process. Establishing a
solid experimental connection between bimolecular recom-
bination and carrier transport distances would provide new
insight to this loss mechanism that critically influences the
open-circuit voltage
[13,14]
and also describes the dark injected
current.
[15]
In this work, we utilize the characteristic local light absorp-
tion profile in the photoactive layer to control the carrier
transport distance for BHJ solar cells. Using semi-transparent
devices, we show a direct link between bimolecular recombi-
nation and the distance carriers must travel in order to be
extracted. Using light intensity dependent measurements, we
determine if carrier loss through bimolecular recombination
is balanced or unbalanced with respect to electron or hole
transport distances. Furthermore, using a simple model for
carrier extraction, we estimate the intrinsic mobility lifetime
product of the restricted carrier species, where holes and
DOI: 10.1002/aenm.201100677
John R. Tumbleston, Yingchi Liu, Edward T. Samulski, and Rene Lopez*
Interplay between Bimolecular Recombination and Carrier
Transport Distances in Bulk Heterojunction Organic
Solar Cells
In this work, it is demonstrated that bimolecular recombination depends on
the distance that free carriers are required to travel in transit to the electrodes
in bulk heterojunction organic solar cells. By employing semi-transparent
devices, the carrier transport distance can be controlled via the local light
absorption profile with an appropriate choice of the illumination side and inci-
dent wavelength. Using a series of light intensity-dependent measurements,
bimolecular recombination is shown to depend on the distance electrons
or holes are required to transit the active layer. This effect is demonstrated
for three different bulk heterojunction blends, where the restrictive carrier
that causes the onset of recombination is identified. The mobility-lifetime
products of the limiting carriers are also estimated using a simple model for
carrier extraction, where similar values are obtained regardless of the absorp-
tion profile. Implications for 1-sun performance are also discussed, which
provide guidelines for fabricating devices with thicker active layers capable of
maximizing light absorption without succumbing to recombination losses.
1. Introduction
The characterization of recombination processes in bulk het-
erojunction (BHJ) organic solar cells has been a central com-
ponent to improving the power conversion efficiency (PCE)
to levels now exceeding 8%.
[1]
Using a suite of steady-state
and transient techniques, a complex picture of the underlying
physical mechanisms leading to photocurrent generation has
emerged that has helped guide the design of higher performing
materials and devices.
[2,3]
This development has been coinci-
dent with empirical evidence refining the optimal processing
conditions for the ever-growing number of organic photoactive
materials. One such empirical guideline is that the active layer
thickness ( d
active
) must be kept on the order of 100 nm so that
Dr. J. R. Tumbleston, Y. Liu, Prof. R. Lopez
Department of Physics and Astronomy
University of North Carolina at Chapel Hill
Phillips Hall, CB 3255, Chapel Hill, NC, USA
E-mail: rln@physics.unc.edu
Prof. E. T. Samulski
Department of Chemistry
University of North Carolina at Chapel Hill
Caudill and Kenan Laboratories
CB 3290, Chapel Hill, NC, USA
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