Random resistor networks as a theory of interacting Bose and Fermi fields. I. Effective medium treatment of percolation
- 11 May 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (7) , L219-L223
- https://doi.org/10.1088/0305-4470/16/7/004
Abstract
The problem of random resistor networks is formulated with the help of functional integrals over commuting and anticommuting variables and leads to interacting Bose and Fermi fields. The effective medium approximation is derived following a variational principle.Keywords
This publication has 5 references indexed in Scilit:
- Derivation of Green function for disordered chain by integrating over commuting and anticommuting variablesJournal of Physics C: Solid State Physics, 1982
- White and weighted averages over solutions of Thouless Anderson Palmer equations for the Sherrington Kirkpatrick spin glassJournal de Physique, 1980
- Mean-field theory and critical exponents for a random resistor networkPhysical Review B, 1978
- Renormalization-group treatment of the random resistor network in6−εdimensionsPhysical Review B, 1978
- Percolation and ConductionReviews of Modern Physics, 1973