DC ELECTRICAL CONDUCTIVITY AND MAGNETIC SUSCEPTIBILITY STUDIES ON POLYANILINE-PVC BLENDS AT LOW TEMPERATURES
D.Srinivasana, Anasuya Raghunathanb, T.S.Natarajana C.K.Subramaniamd
B.Wesslingc and G.Rangarajana
aDepartment of Physics, Indian Institute of Technology, Madras-600036, India
bDepartment of Physics, Wichita State University, Wichita, KS 67260-0032
cOrmecon Chemie GmbH & Co., KG, Kornkamp 50, 22926 Ahrensburg, GERMANY.
d Center for Electrochemical and Energy research, SPIC Science Foundation, 110,Mount road, Madras 600 032, India
Abstract
The reduced activation energy
of
polyaniline (PANI) - PVC blends (33% and 40% PANI weight) decreases upon decreasing
temperature below 1K and the blends are found to be in the metallic regime of
Metal-Insulator (MI) transition. Magnetic susceptibility measurements on PANI and PANI-PVC
blends show a temperature independent Pauli susceptibility down to 50 K and a crossover
from a temperature independent susceptibility to temperature dependent Curie-like
behaviour
is observed below 50K. A finite
density of states at the Fermi surface is observed and the PANI-PVC blends are found to be
a Fermi glass in the metallic regime near the MI transition.
I. INTRODUCTION
Thermally stable and electrically conducting polymer, polyaniline(PANI) dispersed in the insulating polymer polymethylmethacrylate (PMMA) and polyvinyl chloride(PVC) is widely used in various applications such as electromagnetic shielding etc.[1]. Recent reports show that blending PANI with PMMA and PVC increases the conductivity especially at low temperatures[2]. It is found that PANI(40%)-PMMA(60%) is more conducting than unblended PANI at room temperature[2]. In the presence of strong disorder, the Anderson localization and Coulombic interactions play an important role in understanding the properties of the disordered metals and doped semiconductors near the metal insulator(MI) transition. We report on the d.c. electrical conductivity and magnetic susceptibility of PANI-PVC blends.
II. EXPERIMENT
The Commercially available polyaniline, ORMECON® [Ormecon Chemie GmbH & Co., KG, FRG] was used for preparing the PANI-PVC blends. The blends containing 20% and 47% PANI weight in PVC were prepared by dispersion techniques used for the production of commercially available INCOBLEND [Ormecon Chemie GmbH & Co., KG, FRG]. The magnetic susceptibility of unblended PANI and PANI-PVC blends was measured by using a commercial SQUID magnetometer in the temperature range 2.0K to 300K in an applied magnetic field of 50 milli Tesla. A non-magnetic quartz tube was used as a sample holder. The magnetic susceptibility of the sample holder was measured separately in the same temperature range and magnetic field range. The d.c electrical conductivity (s ) measurements were carried out in the temperature range 5K-300 mK using 3He evaporation cryostat [HELIOX-3] Oxford Instruments Temperature Controller ITC4 with a calibrated Lakeshore Ge resistor(GRT 200A). Above liquid helium temperatures up to room temperature, s measurements were carried out by using a manual insertion probe with the MPMS system.. A linear four probe technique was adopted for the electrical conductivity measurements. Electrical contacts were made with a conductive silver paint and the measurements were made in the ohmic region. Sample heating was avoided by adjusting the constant current source so that the power dissipated into the sample was less than 1 m W.
III. RESULT AND DISCUSSION
a) D.C ELECTRICAL CONDUCTIVITY OF PANI-PVC BLENDS
In the presence of strong disorder the metallic features such as ![]()
is not observed at
low temperatures. The temperature dependence electrical conductivity is better explained
by plotting the log-log plot between reduced activation energy,
and temperature[3,4] The temperature dependence of W in various
regimes are described as follows,
(i) W has a negative temperature coefficient in the insulating regime
(ii) W is temperature independent for a wide range of temperatures in the critical regime.
(iii) W has a positive temperature coefficient in the metallic regime
The reduced activation energy
) is
plotted as a function of temperature in log-log plot for PANI(20%)-PVC(80%) (Fig.1) and PANI(47%)-PVC(53%) (Fig.2). For PANI-PVC blends W decreases
upon decreasing the temperature below 1K and the systems are found to be in the metallic
side of MI transition.
b) TEMPERATURE DEPENDENCE OF PARAMAGNETIC SUSCEPTIBILITY
The total magnetic susceptibility,
is
expressed as a sum of core diamagnetic susceptibility,
and paramagnetic susceptibility,
.![]()
(1)
The dopant is PTSA and the core value of PANI-PTSA(y=0.5) is calculated as
. The core susceptibility of PANI(20%)-PVC(80%)
and PANI(47%)-PVC(53%) are calculated by using the core value of PVC. After subtracting
the core value from the experimental values, the total paramagnetic susceptibility of PANI
and its blends are plotted as a function of temperature. This is shown in Fig.3 and 4.
In the case of unblended PANI a nearly temperature independent Pauli susceptibility is observed down to 50 K . Below 50 K, a Curie like susceptibility is observed.
The total paramagnetic susceptibility
(2)
where c is a constant and
(3)
where N(EF) is the density of the states at the Fermi energy. Figure 5 and Figure 6 show the
vs 1/T plot for unblended PANI and PANI-PVC blends respectively.
The temperature independent Pauli susceptibility is calculated from the above plot and the
density of the states at the Fermi energy is calculated using Eq.(3). The result is shown
in the Table.1. In the case of PANI(20%)-PVC(80%) and PANI(47%)-PVC(53%), a temperature
dependent Curie susceptibility is observed at lower temperatures (below 40 K) and a
temperature independent Pauli susceptibility is observed (above 40 K). Pauli
susceptibilities of unblended PANI and PANI-PVC blends are shown in Table. 1. It is seen
that the PANI(Ormecon) sample has about 20 times more number of spins per 2 rings than
PANI-CSA[5]. The same is true also of the PANI-PVC blends.
The general formula for the static spin susceptibility in the Anderson localized regime was derived by Kamimura[6] and is given by:
(4)
where
,
is the chemical potential and
are the energies of the localized states labelled by
and
, the average intrastate
electron-electron coulomb interaction energy.
The numerical solution of equation 4 shows that at low temperatures when
is less than
, the states near the Fermi energy become singly occupied and the spin
susceptibility obeys the Curie law
(5)
where NS is the number of singly occupied states. Since a finite density of
states is observed at the Fermi energy, the Curie type behaviour of the spin
susceptibility arises from single occupancy of localized states near EF. NS
values are calculated from the slope of
Vs
1/T for PANI and PANI-PVC blends for T< 50 K. The values are shown in Table.1. For
unblended PANI NS is equal to
/
mole-2rings and for blends it is one order less than that of unblended PANI.
IV. CONCLUSION
At low temperatures, activation energy, W decreases with decreasing temperature shows PANI-PVC blends are in the metallic regime of the MI transition. PANI and PANI-PVC blends show a temperature independent Pauli susceptibility down to 50 K and below 50 K a Curie-like behaviour is observed. A finite density of states present at the Fermi energy implies that PANI and its blends form a "Fermi glass". The Curie like behaviour arises from the single occupancy of localized states at the Fermi energy.
REFERENCES
(1) Bernhard Wessling, Synthetic Metals 85,1313(1997)
(2) C.K.Subramaniam et al, Journal of Polymer Science B,31,1425(1993)
D.Srinivasan et al., Czechoslovak Journal of Physics, 46 (suppS4), 2035 (1996)
(3) Reghu Menon, C.O.Yoon,D.Moses, A.J.Heeger and Y.cao,Phys.Rev. B
48,17685(1993).
(4) R.S Kohlman, A. Zibold, D.B. Tanner, G.G. Ihas, T. Ishiguro, Y.G. Min,
A.G. MacDiarmid, and A.J. Epstein, Phys. Rev. Lett. 78, 3915(1997)
(5)N.S. Saricittchi, A.J. Heeger and Y. Cao, Phys.Rev. B 49 ,5988 (1994).
(6) H. Kammimura , Philos. Mag. B 42, 763 (1980); in Electron-Electron
Interactions in Disordered Systems, edited by A.L. Efros and M. Pollak
(North- Holland, Amsterdam, 1985).
TABLE - 1
SAMPLE |
c PAULI X 10-4 (emu/mole-2 rings) |
C X10-4 (emu. K/mole) |
N(EF) (states/eV) |
NS X1020 (per mole-2 rings) |
| UNBLENDED PANI | 7.0 |
43.4 |
|
70.0 |
| PANI(47%)-PVC(53%) | 2.7 |
103.4 |
|
166.0 |
| PANI(20%)-PVC(80%) | 0.9 |
17.2 |
|
28.0 |