TY - JOUR
T1 - Granular-rod model for electronic conduction in polyaniline
AU - Li, Qiming
AU - Cruz, Luis
AU - Phillips, Philip
N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1993
Y1 - 1993
N2 - We present here a granular-rod model for the metallic state of the conducting polymer, polyaniline. In this model the metallic islands correspond to single strands of the polymer. The macroscopic conductivity results from anisotropic three-dimensional variable-range hopping in the network of metallic rods. We incorporate the experimentally observed temperature dependence of the charge carrier density and show that this model is capable of explaining (1) the temperature dependence of the conductivity σ=σ0exp[-(T0/T)1/2], (2) the doping dependence of T0, (3) the anomalous 1/T dependence of the thermoelectric power, as well as (4) the linear increase of the Pauli susceptibility with dopant concentration. We show that the quantitative agreement between our predictions for the doping dependence of T0, the temperature dependence of the thermoelectric power, and the experimental data is excellent. We also illustrate that the temperature range where variable-range hopping is valid is decreased below the experimentally observed temperature range over which σ=σ0exp[-(T0/T)1/2] if the metallic islands correspond to three-dimensional bundles of the polymer strands. It would appear then that a single strand model of the metallic state of polyaniline is more consistent with a variable-range hopping picture.
AB - We present here a granular-rod model for the metallic state of the conducting polymer, polyaniline. In this model the metallic islands correspond to single strands of the polymer. The macroscopic conductivity results from anisotropic three-dimensional variable-range hopping in the network of metallic rods. We incorporate the experimentally observed temperature dependence of the charge carrier density and show that this model is capable of explaining (1) the temperature dependence of the conductivity σ=σ0exp[-(T0/T)1/2], (2) the doping dependence of T0, (3) the anomalous 1/T dependence of the thermoelectric power, as well as (4) the linear increase of the Pauli susceptibility with dopant concentration. We show that the quantitative agreement between our predictions for the doping dependence of T0, the temperature dependence of the thermoelectric power, and the experimental data is excellent. We also illustrate that the temperature range where variable-range hopping is valid is decreased below the experimentally observed temperature range over which σ=σ0exp[-(T0/T)1/2] if the metallic islands correspond to three-dimensional bundles of the polymer strands. It would appear then that a single strand model of the metallic state of polyaniline is more consistent with a variable-range hopping picture.
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U2 - 10.1103/PhysRevB.47.1840
DO - 10.1103/PhysRevB.47.1840
M3 - Article
AN - SCOPUS:0001281565
VL - 47
SP - 1840
EP - 1845
JO - Physical Review B
JF - Physical Review B
SN - 0163-1829
IS - 4
ER -