RESEARCH ARTICLE
Copyright © 2012 American Scientific Publishers
All rights reserved
Printed in the United States of America
Journal of
Computational and Theoretical Nanoscience
Vol. 9, 1554-1557, 2012
Schottky Current in Carbon Nanotube-Metal Contact
Sara Sangtarash
1
, Hatef Sadeghi
1
, M. T. Ahmadi
1? ∗
, M. H. Ghadiry
1
,
Sohail Anwar
2
, and Razali Ismail
1
1
Faculty of Electrical Engineering, UniversitiTeknologi Malaysia, Skudai 81310, Johor Baharu, Malaysia
2
Pennsylvania State University, Altoona College, USA
Silicon based technology has received its technical limitation because of its unstable structure at
nano-level. Carbon nanotube as an alternative material has attracted significant scientific efforts.
Fabrication of Schottky diode using carbon nanotube is an open area of research to overcome this
limit. In this study, we model the current of CNT Schottky diode under applied voltage. Parabolic
band approximation on CNT induces Fermi-Dirac integral of order zero on its current voltage which
is similar to the conventional one dimensional material. This model shows that its current has a weak
dependence on temperature corresponding to the small applied voltage. It is quite different in high
bias voltages which are independent of temperature. Based on this model, incremental effect of the
carbon nanotube diameter has been explained by increasing the current with the applied voltage.
The model presented in this paper is in good agreement with the reported data from experiments.
This device can be used in the integrated circuit miniaturization.
Keywords: Carbon Nanotube, Schottky Contact, Schottky Current, Modeling.
1. INTRODUCTION
Schottky barrier is known as moving the barrier (electrons)
from the metal into the semiconductor. For the first time,
Schottky demonstrated that a potential barrier formed at a
metal-semiconductor junction has the rectification charac-
teristics and thus it is suitable for use as a diode. Lower
junction voltage and a decreased depletion width in the
metal are the two key differences between a p–n junc-
tion and a Schottky barrier. The lower junction voltage
in Schottky barrier means that the ideal diode approxima-
tion can be used for it. Due to their low junction voltage,
Schottky barriers are used in applications where a device
that closely approximates an ideal diode is needed. They
are also used with normal diodes and transistors for cir-
cuit protection. Connection of a metal or silicide layer to a
doped semiconductor layer forms a Schottky diode where
Schottky junction (or Schottky barrier) is formed at the
junction.
1? 2
Carbon nanotubes (CNTs) offer a unique structure
which can be modeled as a one-dimensional quantum
wire. Because of their excellent electrical, mechanical,
and chemical properties, carbon nanotubes have been of
great interest to the researchers in basic sciences and
technology.
3
They have shown a great potential for next-
generation electronic applications. Many devices such as
∗
Author to whom correspondence should be addressed.
carbon nanotube field-effect transistors, CNT diodes, sin-
gle electron transistors, nanoelectrodes, and several others
have been built from carbon nanotubes.
4–6
Furthermore, nanotubes’ properties such as high carrier
mobility, long mean free path, and the potential of carrying
high current density (equal to or better than the currently
used materials), have attracted researchers to develop alter-
native devices to improve performance or to explore the
limitation of traditional structure.
6–9
A cylindrical single-wall CNT (SWCNT) consists of
one atom in thickness of graphite (called graphene) which
is rolled up into a cylinder as shown in Figure 1. The
diameter of the tube is typically 1.4 nm.
9? 10
When the dia-
meter of cylinder is less than the De-Broglie wave length,
it can be estimated as a one dimensional. The band struc-
ture of one dimensional shows the parabolic behavior near
the minimum band energy with wave vector. Multi-walled
nanotubes (MWNT) consist of multiple rolled layers of
graphite.
11? 12
Based on the diameter and the helicity of the arrange-
ment of the graphitic rings in Carbon nanotubes walls,
it can be found as either metallic or semiconducting.
The diameter and the helicity of a defect-free SWNT are
defined by Chiral vector or C
h
= na
1
+ ma
2
, where a
1
and
a
2
are the graphene lattice unit cell base vectors and n
and m are the different integer values for each type of
tube (Fig. 2). According to chirality, the graphene sheet
can be rolled to form armchair tubes that are metallic
J. Comput. Theor. Nanosci. 2012, Vol. 9, No. 10 1546-1955/2012/9/001/004 doi:10.1166/jctn.2012.2243 1