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Copyright © 2010 American Scientific Publishers
All rights reserved
Printed in the United States of America
Journal of
Nanoscience and Nanotechnology
Vol. 10, 4074–4077, 2010
Optical Study on Electronic Transport Properties of
Single-Walled Carbon Nanotubes at High Temperature
Mukhtar Effendi, Hiroyuki Yokoi
∗
, and Noritaka Kuroda
Graduate School of Science and Technology, Kumamoto University, 2-39-1 Kurokami, Kumamoto 860-8555, Japan
The transport properties of single-walled carbon nanotubes (SWNTs) above room temperature are
studied in this work. The infrared optical properties of SWNTs were investigated to clarify their con-
duction mechanism at high temperature. We present reflectivity spectra of SWNT mats in the infrared
region between 0.08 eV and 0.8 eV under Ar gas flow at temperatures between 330 K and 840 K.
These spectra have the typical appearance of the metallic reflectivity. Examination within the frame-
work of the Drude-Lorentz model was performed to work out the electric resistivity for each reflectivity
spectrum. It was found that the resistivity of SWNTs increases superlinearly with increasing the tem-
perature from 330 K to 690 K, which can be explained by the quasi-1D metallic term model very
well. However, the resistivity at higher temperatures than 690 K exhibited the tendency of saturation
and deviated from the quasi-1D metallic term model. This behavior could be attributed to the thermal
excitation of free carriers in the semiconducting SWNTs included in the mats.
Keywords: Single-Walled Carbon Nanotube Mat, Infrared Optical Spectroscopy, High
Temperature Conduction Mechanism, Quasi-One-Dimensional Metallic Term Model,
Thermal Excitation of Carriers.
1. INTRODUCTION
A single-walled carbon nanotube (SWNT) can be thought
of as a graphene sheet rolled into a cylinder labeled with
the index (n m) which describes its chirality. Depend-
ing on the chirality, SWNTs could exhibit distinct elec-
tronic properties, varying from semiconducting ones to
metallic.
1
Many interesting properties are expected for
this quasi one-dimensional electronic system. However,
their transport properties, which are basic electrical prop-
erties of SWNTs, are not fully understood although many
efforts have been done.
2–12
It has been reported that one-
dimensional (1D) variable range hopping (VRH) conduc-
tion can be observed in SWNTs aligned in 1 nm sized
channels of zeolite crystals.
2
1D VRH in SWNTs seems
to be natural because of their quasi-1D structure, but
there could be another interpretation whereby the 1D
VRH is ascribable to the artificial 1D structure of zeo-
lite. Kaiser et al.
5
investigated the resistivity of SWNT
mats at low temperature. They suggested that temperature
dependence of the resistivity in SWNT mats is given by a
simple model of metallic conduction in aligned nanotubes
with hopping or tunneling through small electrical barriers,
∗
Author to whom correspondence should be addressed.
e.g., tangled regions, inter-rope or intertube contacts, or
tubule defects (Eq. (1)).
= AT + B exp
T
t
T + T
s
(1)
In this model the resistivity of the total sample is
described as the sum of metallic and barrier portions of
conduction path. A and B are coefficients which include
the geometrical contributions from the effective fractions
of the length for the metallic and barrier portions and the
fractions for cross-sectional areas of samples. T
t
is the tem-
perature below which the conduction is dominated by the
charge carrier tunneling through the barrier. T
s
denotes the
temperature above which the thermal activated conduction
over the barrier begins to occur.
Shiraishi et al.
7
examined their experimental results
on the temperature dependence of electric resistance of
SWNT mats below room temperature and found that
their results can be explained with both the quasi-one-
dimensional (quasi-1D) metallic term model (Eq. (2)) and
simple metallic term model (Eq. (1)) quantitatively.
= Q exp
-
T
m
T
+ B exp
T
t
T + T
s
(2)
In the quasi-1D metallic term model, the metallic term
adopted by Kaiser et al.
5
is replaced to a quasi-1D metallic
4074 J. Nanosci. Nanotechnol. 2010, Vol. 10, No. 6 1533-4880/2010/10/4074/004 doi:10.1166/jnn.2010.1975