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Experimental observation of scaling laws for alternating current and direct current conductivity in polymer-carbon nanotube composite thin films

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Kilbride, B. E., Coleman, J. N., Fraysse, J., Fournet, P., Cadek, M., Drury, A., Hutzler, S., Roth, S., Blau, W. J.·2002·Journal of Applied Physics

Abstract

Alternating current (ac) and direct current (dc) conductivities have been measured in polymer-nanotube composite thin films. This was carried out for a range of concentrations of multiwall nanotubes in two polymer hosts, poly(m-phenylenevinylene-co-2,5-dioctyloxyp-phenylenevinylene) (PmPV) and polyvinylalcohol (PVA). In all cases the dc conductivity σDC was ohmic in the voltage range studied. In general the ac conductivity displayed two distinct regions, a frequency independent region of magnitude σ0 at low frequency and a frequency dependent region at higher frequency. Both σDC and σ0 followed a percolation scaling law of the form σ∝(p−pc)t with pc=0.055% by mass and t=1.36. This extrapolates to a conductivity of 1×10−3 S/m for 100% nanotube content. Such a low value reflects the presence of a thick polymer coating, resulting in poor electrical connection between tubes. This leads to the suggestion that charge transport is controlled by fluctuation induced tunneling. In the high frequency regime the conductivity increases with frequency according to an approximate power law with exponent s≈0.92, indicative of hopping transport. The onset of this frequency independent conductivity scales with mass fraction for the PmPV composite due to the variation of correlation length with nanotube content. This behavior is discussed in terms of a biased random walk in three dimensions. In addition ac universality is demonstrated by the construction of a mastercurve.

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Metadata

Authors
Kilbride, B. E., Coleman, J. N., Fraysse, J., Fournet, P., Cadek, M., Drury, A., Hutzler, S., Roth, S., & Blau, W. J.
Venue
Journal of Applied Physics
Published
2002-10-01
Volume
92
Issue
7
Pages
4024-4030
ISSN
  • 0021-8979 (ISSN-L)
  • 1089-7550
OpenAlex
W2100543286
Cited by
789
References
0
FWCI
11.93
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Experimental observation of scaling laws for alternating current and direct current conductivity in polymer-carbon nanotube composite thin films. https://app.cochat.ai/papers/10.1063/1.1506397
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Kilbride, B. E., Coleman, J. N., Fraysse, J., Fournet, P., Cadek, M., Drury, A., Hutzler, S., Roth, S., & Blau, W. J. (2002). Experimental observation of scaling laws for alternating current and direct current conductivity in polymer-carbon nanotube composite thin films. Journal of Applied Physics. https://doi.org/10.1063/1.1506397

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