Anomalous Schottky Barriers and
Contact Band-to-Band Tunneling in
Carbon Nanotube Transistors
David J. Perello,
†
Seong ChuLim,
‡
Seung Jin Chae,
‡
Innam Lee,
†
Moon. J. Kim,
§
Young Hee Lee,
‡,
* and
Minhee Yun
†,
*
†
Department of Electrical Engineering, University of Pittsburgh, Pittsburgh, Pennsylvania 15219,
‡
Department of Physics, Department of Energy Science, Sungkyunkwan
Advanced Institute of Nanotechnology, Suwon 440-746, Republic of Korea, and
§
Department of Materials Science and Engineering, University of TexasODallas,
Richardson, Texas 75080
C
arbon nanotube field effect transis-
tors (CNT-FETs) have high current-
carrying capability,
1
on/off ratio
greater than 10
6
,
2-4
and switchable polar-
ity dependent upon environment and
chemical treatment.
5,6
Rapid optimization
and performance enhancement in CNT-
FETs has occurred.
7
Nevertheless, the phys-
ics and the underlying mechanisms for
transport are still incomplete. For instance,
experimentally distinguishing energy band
alignment at the metal-CNT contact has
proven to be exceedingly difficult
8,9
and
scarce experimental evidence exists in the
form of Schottky barrier heights. Initially, it
was believed that gas adsorbates in the CNT
channel induce a charge transfer from CNTs
to adsorbates, resulting in p-type conduc-
tion in ambient measurement
conditions.
10,11
However, more recently it
was argued that the adsorbate-induced pla-
nar dipole layers at the interface are the
key factor for determining the majority car-
rier.
12
The model of the induced dipole layer
at the interface generally explains the CNT
device operation. For Au contacts, conduc-
tion variations are attributed to the induced
dipole moment due to oxygen adsorbates
at the interface. In the absence of oxygen,
Au electrons are spilled over to CNT. In the
presence of oxygen however, strong charge
transfer occurs from Au to oxygen, forming
a dipole opposed to the spillover.
13
This di-
pole layer depletes the CNT, pulling the
Fermi level (E
F
) of CNT toward the valence
band maximum. Similarly, in the case of Ti,
a commonly used contact metal, oxygen-
induced surface potential variations were
introduced to explain the dominant p-type
behavior.
12
However, contrary to these ear-
lier reports, McClain et al. observed that un-
der atmospheric O
2
exposure, the range of
off-state gate bias was extended signifi-
cantly into the n-region until the electron
conducting on-state weakly appeared.
14
This occurrence cannot be explained by a
planar dipole model, nor is it consistent
with an earlier oxygen doping model. The
formation of a dipole layer at the interface
(due to oxygen in this case) should give rise
to a threshold voltage change exclusively.
Conversely, increases in dopant (oxygen)
concentrations should be followed by a sig-
nificant increase in off-current
15
in contrast
to the CNT devices which often exhibit the
reverse phenomenon.
In a circuit with multiple current paths,
carriers will always traverse the path with
the lowest resistance, even if the physical
length of such a path is longer. When con-
tacted with low work function metals, the
electron contribution of the subsurface
metal-covered CNT is often neglected be-
cause of the longer conduction pathway
*Address correspondence to
leeyoung@skku.edu,
miy16@pitt.edu.
Received for review February 17, 2010
and accepted May 19, 2010.
Published online May 28, 2010.
10.1021/nn100328a
© 2010 American Chemical Society
ABSTRACT Devices incorporating nanoscale materials, particularly carbon nanotubes (CNTs), offer exceptional
electrical performance. Absent, however, is an experimentally backed model explaining contact-metal work
function, device layout, and environment effects. To fill the void, this report introduces a surface-inversion channel
model based on low temperature and electrical measurements of a distinct single-walled semiconducting CNT
contacted by Hf, Cr, Ti, and Pd electrodes. Anomalous barrier heights and metal-contact dependent band-to-band
tunneling phenomena are utilized to show that, dependent upon contact work function and gate field, transport
occurs either directly between the metal and CNT channel or indirectly via injection of carriers from the metal-
covered CNT region to the CNT channel. The model is consistent with previously contradictory experimental results,
and the methodology is simple enough to apply in other contact-dominant systems.
KEYWORDS: carbon nanotubes · Schottky barrier · electrical transport · band to
band tunneling · work function
ARTICLE
www.acsnano.org VOL. 4 ▪ NO. 6 ▪ 3103–3108 ▪ 2010 3103