Abstract
Percolating networks based on interparticle tunneling conduction are shown to yield a logarithmic divergent piezoresistive response close to the critical point as long as the electrical conductivity becomes nonuniversal. At the same time, the piezoresistivity or, equivalently, the conductivity anisotropy exponent remains universal also when the conductive exponent is not, suggesting a purely geometric origin of We obtain these results by an exact solution of the piezoresistive problem on a Bethe lattice and by Monte Carlo calculations and finite-size scaling analysis on square lattices. We discuss our results in relation to the nature of transport for a variety of materials such as carbon-black–polymer composites and -glass systems which show nonuniversal transport properties and coexistence between tunneling and percolating behaviors.
- Received 20 November 2002
DOI:https://doi.org/10.1103/PhysRevB.67.014205
©2003 American Physical Society