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COMMUNICATION
Adv. Mater. 2012, 24, 1535–1539
Alexander Mityashin,* Yoann Olivier, Tanguy Van Regemorter, Cedric Rolin,
Stijn Verlaak, Nicolas G. Martinelli, David Beljonne, Jérôme Cornil, Jan Genoe,
and Paul Heremans*
Unraveling the Mechanism of Molecular Doping in Organic
Semiconductors
A. Mityashin, Dr. C. Rolin, Dr. S. Verlaak, Dr. J. Genoe,
Prof. P. Heremans
Imec, Kapeldreef 75, Leuven, 3001, Belgium
E-mail: mityash@imec.be; heremans@imec.be
A. Mityashin, Prof. P. Heremans
ESAT, Katholieke Universiteit Leuven
Kasteelpark Arenberg 10, Leuven, 3001, Belgium
Dr. Y. Olivier, Dr. T. Van Regemorter, Dr. N. G. Martinelli,
Dr. D. Beljonne, Dr. J. Cornil
Laboratory for Chemistry of Novel Materials
University of Mons
Place du Parc 20, Mons, 7000, Belgium
DOI: 10.1002/adma.201104269
Over the last decade molecular doping has been very success-
fully used to control electrical conductivity in organic electronic
devices, particularly in charge transport layers of organic light
emitting diodes and solar cells.
[1]
It has been demonstrated
that the conductivity of an n-(p-)type organic semiconductor
can be reproducibly enhanced by several orders of magnitude
when introducing a certain amount of strong electron-(hole-)
donating molecules.
[2]
The doping mechanism is thereby usu-
ally assumed to be a two-step process, similar to in inorganic
semiconductors:
[1]
i) ionization of the dopant with donation of a
charge carrier (electron or hole) to the host, and ii) dissociation
of this charged pair, effectively creating a free charge carrier.
The latter process is, however, not at all obvious in an organic
semiconductor matrix, since the low electrical permittivity of
organics (ε = 3–4) means that the donated charge carrier must
be bound to the parental dopant by a strong Coulombic binding
energy of 10 to 20 times kT/q. There is at present no detailed
understanding of the dissociation process of strongly bound
charge carriers from the ionized molecules.
In this communication, we unravel microscopic details of the
doping mechanism in organics, and in particular of the charge
carrier dissociation event. To this end, we analyze the archetypal
host–dopant system pentacene doped by tetrafluorotetracyano-
quinodimethane (F
4
TCNQ). The key findings are, however,
rather general and transpose to other host–dopant combina-
tions. Considering the above-mentioned two-step process, we
first show the impact of doping molecules on the charge-trans-
port energy levels of the host and donation of charge carriers
by the dopant to the host semiconductor. We then calculate the
binding energy of the charge pair on neighboring dopant and
host molecules, and estimate the dissociation probability at dif-
ferent doping concentrations. We find that the doping efficiency
is indeed strongly dependent on the doping concentration and
that there is a threshold doping level below which doping
simply has no effect on the electrical conductivity. These
findings extend the understanding of doping of inorganic
semiconductors to organic semiconductors, by adding to the
consideration of thermal activation of dopants the concept of
activation by the proximity of multiple doping sites.
The first step is to determine the charge-transport energy
levels of host semiconductor molecules in the vicinity of (one
or several) dopant molecules by means of a molecular micro-
electrostatics (ME) model,
[3–4]
which is parameterized against
quantum-chemical calculations. Subsequently, we determine
the fate of the charge carriers donated by the doping molecules
using a master-equation formalism for charge migration,
[5]
in which the hopping rates are computed using the Marcus–
Levich–Jortner theory. Technical details of these calculations are
presented in the Supporting Information.
An atomistic model of the doped material was constructed
by introducing a certain amount of doping molecules into
vacancies created in a three-dimensional pentacene crystal with
the unit cell parameters of Siegrist et al.
[6]
We consider four
samples, with 0.3, 1, 3, and 5% doping concentration. In these
samples, the relative positions and orientations of the doping
molecules are relaxed using a molecular mechanics model
that allows for rotation and translation of the dopant molecule
within the rigid pentacene crystal.
[7]
As shown in the inset of
Figure 1, F
4
TCNQ molecules have a suitable size and shape to
substitute pentacene molecules in the crystal structure; efficient
substitution is also supported by a scanning tunneling micro-
scopy study of this system.
[8]
This rather perfect structural match
between dopant and host is not necessarily the case in other
host–dopant combinations or at high doping concentrations.
[9]
Deviation from this match is expected to introduce structural
disorder in the host and will be discussed later. Since the inter-
molecular distances within a pentacene monolayer are much
smaller than distances between monolayers, associated to
the doping charge separation and transport are most likely to
happen in the monolayer plane. To depict the energetic land-
scape of this plane in a simple graph, two diagonal crystal direc-
tions are defined within the monolayer (A and B in the inset of
Figure 1), taking a dopant molecule as origin. By following the
evolution of the electronic energy of a charge along these two
directions, the full range of electrostatic effects induced by the
dopant is explored.
In the microelectrostatics (ME) approach, the overall effect of
the molecular medium on the charge energy is decoupled in a