Tunneling and Non-Universality in Continuum Percolation Systems

Details Tunneling and Non-Universality in Continuum Percolation Systems Tunneling and Non-Universality in Continuum Percolation Systems

2006-02-20

arxiv.org/abs/cond-mat/0602463v2

Phys. Rev. Lett. 96, 066602 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.96.066602

The values obtained experimentally for the conductivity critical exponent in numerous percolation systems, in which the interparticle conduction is by tunnelling, were found to be in the range of $t_0$ and about $t_0+10$, where $t_0$ is the universal conductivity exponent. These latter values are however considerably smaller than those predicted by the available ``one dimensional"-like theory of tunneling-percolation. In this letter we show that this long-standing discrepancy can be resolved by considering the more realistic "three dimensional" model and the limited proximity to the percolation threshold in all the many available experimental studies

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