J Supercond Nov Magn (2010) 23: 873–875
DOI 10.1007/s10948-009-0620-4
ORIGINAL PAPER
Crossover Behavior of Variable Range Hopping in Bi-Doped C
60
Jinke Tang · Corin Chepko · Wendong Wang ·
Xianjie Wang · Guang-Lin Zhao
Received: 13 December 2009 / Accepted: 21 December 2009 / Published online: 5 January 2010
© Springer Science+Business Media, LLC 2010
Abstract Abstract: Mott variable-range hopping (VRH) is
characterized by an exp[1/T
1/4
] behavior in the temper-
ature dependence of resistivity and is generally observed
near the metal–insulator transition as electron screening in-
creases and the Coulomb gap disappears near the metal-
lic phase, while Efros–Shklovskii VRH, characterized by
exp[1/T
1/2
], is found deeper in the insulating region.
We have investigated the transport properties of Bi-doped
fullerene C
60
. Samples were prepared via solid state reac-
tion in a sealed quartz tube near 600°C. The resistivity data
can be fit with a single function exp[1/T
υ
] (υ = 1/4 or 1/2,
depending on the Bi concentration) over the entire temper-
ature range below 300 K and over 5–6 orders of magnitude
in resistivity. υ changes from 1/4 to 1/2 as the Bi concen-
tration increases, suggesting a crossover from Mott VRH
to intergranular tunneling at higher Bi concentration. The
thermoelectric Seebeck coefficient was also measured and
is about 20 μV/K at room temperature. It decreases with de-
creasing temperature. The thermal conductivity of the doped
samples is extremely low.
Keywords Fullerene · Doped C
60
· Transport property
Mott variable-range hopping (VRH) is characterized by an
exp[1/T
υ
] (υ = 1/4) behavior in the temperature depen-
J. Tang · C. Chepko · W. Wang · X. Wang
Department of Physics & Astronomy, University of Wyoming,
Laramie, WY 82071, USA
G.-L. Zhao ( )
Department of Physics, Southern University and A & M College,
Baton Rouge, LA 70813, USA
e-mail: Guang-Lin_Zhao@subr.edu
dence of resistivity and is generally observed near the metal–
insulator transition as electron screening increases and the
Coulomb gap disappears near the metallic phase [1], while
Efros–Shklovskii VRH, characterized by exp[1/T
υ
] (υ =
1/2), is found in the presence of Coulomb gap deeper in
the insulating region [2]. Most of the reported experimental
data fall in either of the two categories [3], although rather
diverse values of υ have been found: from 0.18 to 0.7 [4–6].
Theoretically, depending on the density of states as a func-
tion of energy, υ is given by υ = (n + 1)/(n + 4), where n is
the exponent in the density of states and energy relationship
[7, 8].
On the other hand, in a granular system where metal-
lic nanoparticles are imbedded in an insulating matrix, in-
tergranular tunneling leads to an exp[1/T
1/2
] behavior in
the resistance [9–11]. We have investigated the transport
properties of Bi-doped fullerene C
60
. A switch-over from
exp[1/T
1/4
] to exp[1/T
1/2
] as the Bi concentration in-
creases is due to the increased amount of Bi granules formed
in the C
60
matrix.
C
60
samples doped with different amount of Bi were pre-
pared by mixing powders of Bi and C
60
at atomic ratios
of Bi:C = 1:60, 1:600 and 1:6000 and pressing them into
pellets. The pellet samples were heated in a sealed quartz
tube near 600°C for several days after they were preheated
at about 400°C in the same sealed quartz tube to prevent the
sudden increase of the vapor pressure in the quartz tube. The
electrical resistivity, Seebeck coefficient and thermal con-
ductivity of the samples were measured with a Quantum De-
sign physical property measurement system (PPMS).
Figure 1 shows the X-ray diffraction (XRD) pattern of
the samples. It exhibits diffraction peaks from both C
60
and
Bi. The amount of Bi phase decreases with the decreasing
amount of Bi doping. It is noticed from the XRD that even
at the lowest Bi-doping level (Bi:C = 1:6000) some Bi par-