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J. Appl. Phys. 108, 103720 (2010); http://dx.doi.org/10.1063/1.3514007 (6 pages)

A computationally efficient method for calculating the maximum conductance of disordered networks: Application to one-dimensional conductors

Luiz F. C. Pereira1, C. G. Rocha2, A. Latgé3, and M. S. Ferreira1

1School of Physics and CRANN, Trinity College Dublin, Dublin 2, Ireland
2Institute for Materials Science and Max Bergmann Center of Biomaterials, Dresden University of Technology, D-01062 Dresden, Germany
3Instituto de Fίsica, Universidade Federal Fluminense, 24210-340, Niterói, Brazil

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(Received 4 August 2010; accepted 10 October 2010; published online 30 November 2010)

Random networks of carbon nanotubes and metallic nanowires have shown to be very useful in the production of transparent, conducting films. The electronic transport on the film depends considerably on the network properties, and on the interwire coupling. Here we present a simple, computationally efficient method for the calculation of conductance on random nanostructured networks. The method is implemented on metallic nanowire networks, which are described within a single-orbital tight binding Hamiltonian, and the conductance is calculated with the Kubo formula. We show how the network conductance depends on the average number of connections per wire, and on the number of wires connected to the electrodes. We also show the effect of the inter/intrawire hopping ratio on the conductance through the network. Furthermore, we argue that this type of calculation is easily extendable to account for the upper conductivity of realistic films spanned by nanowire networks. When compared to experimental measurements, this quantity provides a clear indication of how much room is available for improving the film conductivity.

© 2010 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. MODEL
  3. KUBO FORMALISM
  4. RESULTS AND DISCUSSION
  5. CONCLUSION

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KEYWORDS and PACS

PACS

  • 73.61.At

    Metal and metallic alloys

  • 73.40.Gk

    Tunneling

  • 82.45.-h

    Electrochemistry and electrophoresis

  • 61.48.De

    Structure of carbon nanotubes, boron nanotubes, and other related systems

  • 68.65.-k

    Low-dimensional, mesoscopic, nanoscale and other related systems: structure and nonelectronic properties

  • 61.46.Km

    Structure of nanowires and nanorods (long, free or loosely attached, quantum wires and quantum rods, but not gate-isolated embedded quantum wires)

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PUBLICATION DATA

ISSN

0021-8979 (print)  
1089-7550 (online)

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