Insulation breakdown in a random nonpercolating network of conductors

Chakrabarti, B. K. ; Bardhan, K. K. ; Ray, P. (1987) Insulation breakdown in a random nonpercolating network of conductors Journal of Physics C: Solid State Physics, 20 (4). L57-L60. ISSN 0022-3719

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Official URL: http://iopscience.iop.org/0022-3719/20/4/003?fromS...

Related URL: http://dx.doi.org/10.1088/0022-3719/20/4/003

Abstract

For a non percolating network of conductors, the insulation breakdown voltage VB vanishes near cc, the percolation threshold for conductors, as (cc-c)t'. Using a small-cell real-space renormalisation group technique (with scale factor b up to 3) the authors find t' approximately=0.9 for d=2. A Monte Carlo estimate for 20×20 square (bond-diluted) and triangular (site-diluted) lattices gives t'=0.8+or−0.1. The breakdown universality classes for such metal-insulator transition are also discussed.

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