Determination of Surface Recombination Velocities at Contacts
in Organic Semiconductor Devices Using Injected Carrier Reservoirs
Oskar J. Sandberg,
*
Simon Sandén, Anton Sundqvist, Jan-Henrik Smått, and Ronald Österbacka
Center for Functional Materials and Faculty of Science and Technology, Åbo Akademi University,
Porthaninkatu 3, 20500 Turku, Finland
(Received 31 August 2016; revised manuscript received 10 December 2016; published 15 February 2017)
A method to determine surface recombination velocities at collecting contacts in interface-limited
organic semiconductor devices, based on the extraction of injected carrier reservoirs in a single-carrier
sandwich-type structure, is presented. The analytical framework is derived and verified with drift-diffusion
simulations. The method is demonstrated on solution-processed organic semiconductor devices with
hole-blocking TiO
2
=organic and SiO
2
=organic interfaces, relevant for solar cell and transistor applications,
respectively.
DOI: 10.1103/PhysRevLett.118.076601
Contacts play a crucial part in thin-film semiconductor
devices, such as those based on organic and perovskite
semiconductors. Most electronic devices require at least one
contact that is either charge collecting or blocking. For
instance, in organic field effect transistors, the source and
drain constitute collecting contacts, while the gate electrode,
covered with an insulating dielectric, needs to be blocking
[1]. Many applications also require selective contacts that
are able to efficiently either inject or collect one type of
charge carrier while simultaneously blocking the other type.
This is of particular importance in organic and perovskite
solar cells, where contacts that are able to efficiently collect
majority carriers, while simultaneously blocking minority
carriers, are desired [2–9]. However, a comprehensive
understanding of the processes taking place at the contacts
in organic thin-film semiconductor devices is still lacking.
The current of carriers flowing out from the semi-
conductor (to the electrode) at a collecting contact is
generally described in terms of an effective surface recom-
bination current [10–13]:
J
R
¼ qS
R
½n
c
- n
0
; ð1Þ
where S
R
is the associated surface recombination velocity,
n
c
is the carrier density at the surface and n
0
is the
corresponding equilibrium density, and q is the elementary
charge. The surface recombination velocity is a character-
istic for the quality of the surface and can be expressed as
S
R
¼ σ
R
v
R
N
s
, where σ
R
is an effective capture cross
section, v
R
is the carrier emission velocity at the contact,
and N
s
is the surface density of recombination centers
[3,10]. At an ideal semiconductor-metal contact, acting as
an infinite recombination center (σ
R
N
s
→ 1), the upper
limit of S
R
is typically on the order of 10
6
cm=s at
temperature T ¼ 300 K in accordance with the thermionic
emission theory [4,10]. A schematic picture of surface
recombination for holes at a contact is shown in Fig. 1(a).
In general, if S
R
is larger than the effective transport
velocity v
D
∼ μjFj of carriers within the semiconductor
layer (S
R
≫ v
D
), the carrier collection is limited by the bulk
(diffusion limited) [9,14–16]. In this case, the contact
virtually acts as a perfect collector (S
R
→ ∞). Here, μ is
the carrier mobility and F the electric field. If S
R
<v
D
, on
the other hand, the charge collection is controlled by kinetics
at the contact as the carrier transport becomes limited by
the interface [9,10,16,17]. The surface recombination at
a contact that is blocking from the viewpoint of carrier
collection is by definition also interface limited (S
R
≪ v
D
).
However, the condition S
R
≪ v
D
alone does not necessarily
fulfill the requirements of a blocking contact. Ideally, a
blocking contact with S
R
¼ 0 is achieved by inserting
an interlayer that prevents all carriers from leaving the
device at the contact (σ
R
N
s
→ 0). In practice, however,
FIG. 1. (a) Schematic picture of surface recombination at a
semiconductor-electrode contact for holes being collected at a
metal electrode. In (b) and (c), a schematic picture of the CELIV
technique is shown. A linear voltage pulse uðtÞ is applied to
extract charge carriers at the dc voltage V. From the correspond-
ing extraction current transient jðtÞ (corrected for the steady-state
current), the extracted charge is obtained from Q
extr
¼
R
t
extr
0
½jðtÞ - j
0
dt, where j
0
¼ðεε
0
=dÞðdu=dtÞ¼ðεε
0
u
max
=dt
pulse
Þ.
PRL 118, 076601 (2017)
PHYSICAL REVIEW LETTERS
week ending
17 FEBRUARY 2017
0031-9007=17=118(7)=076601(5) 076601-1 © 2017 American Physical Society