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Conducting polymers in solution: Scaling laws for charge transport

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  • de Gennes, P.G.

Abstract

Flexible chains, with suitable redox agents as side groups, may carry an electrical current. We consider a semi-dilute solution of such chains in a good, non-conducting, solvent. Scaling laws are constructed for the overall conductance Σ and the self-diffusion constant D of one carrier, as a function of: the intrachain conductance σi; the contact conductance σc (between adjacent chains); the number of monomers per chain N; the polymer volume fraction φ. We find three major regimes: (a) “free” (where the carrier jumps easily from one chain to the next), (b) “persistent”, (c) “captive” where the carrier explores one particular chain many times before jumping to another coil. We also discuss contacts between solutions and electrodes in both the adsorption and the depletion regime, and finally the properties of a small gap between two electrodes covered by adsorbed layers.

Suggested Citation

  • de Gennes, P.G., 1986. "Conducting polymers in solution: Scaling laws for charge transport," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 138(1), pages 206-219.
    • Handle: RePEc:eee:phsmap:v:138:y:1986:i:1:p:206-219
    DOI: 10.1016/0378-4371(86)90181-0
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