Frequency dependence of the polarization catastrophe at a metal-insulator transition and related problems
- 1 February 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 25 (3) , 2061-2064
- https://doi.org/10.1103/physrevb.25.2061
Abstract
A scaling assumption is made in order to analyze the critical behavior of the complex dielectric constant at low frequencies near a metal-insulator or a superconductor—normal-conductor transition in a disordered system. Percolative transitions as well as microscopic or quantum transitions are discussed. On either side of the metal-insulator transition, is found to have a peak at whose width tends to zero and whose height diverges at the transition. Similar behavior is found for the normal component of conductivity on both sides of the superconducting transition, and the effective penetration depth is found to diverge as near the percolation threshold in a composite superconductor.
Keywords
This publication has 14 references indexed in Scilit:
- Critical Behavior of the Dielectric Constant of a Random Composite near the Percolation ThresholdPhysical Review Letters, 1981
- Coherence and Disorder in Arrays of Point ContactsPhysical Review Letters, 1980
- Observation of the Approach to a Polarization CatastrophePhysical Review Letters, 1980
- Critical Behavior of the Complex Dielectric Constant near the Percolation Threshold of a Heterogeneous MaterialPhysical Review Letters, 1977
- Critical exponents for the conductivity of random resistor latticesPhysical Review B, 1977
- Critical Behaviour of Conductivity and Dielectric Constant near the Metal‐Non‐Metal Transition ThresholdPhysica Status Solidi (b), 1976
- Critical phenomena in resistor networksJournal of Physics C: Solid State Physics, 1976
- Computer Experiment on a 3D Site Percolation Model of Porous Materials-Its Connectivity and ConductivityJournal of the Physics Society Japan, 1975
- Effect of random defects on the critical behaviour of Ising modelsJournal of Physics C: Solid State Physics, 1974
- Theory of the Anomalous Skin Effect in Normal and Superconducting MetalsPhysical Review B, 1958