Faraday effect in composites
Materials Science
2009-10-31 v1 Disordered Systems and Neural Networks
Statistical Mechanics
Abstract
In this article, we study the Faraday effect in a binary composite consisting of a dielectric matrix with metallic inclusions. We first use the replica trick together with a variational method in order to compute the effective permittivity tensor (in the quasi-static limit) of this composite in a static magnetic field. In order to find the scaling exponents near the percolation threshold, we use a high contrast or low frequency expansion combined with scaling. The result of the two methods are in agreement and predict that near the percolation threshold (and below, that is in the dielectric region), the Faraday effect is greatly enhanced.
Cite
@article{arxiv.cond-mat/9805167,
title = {Faraday effect in composites},
author = {M. Barthelemy and D. J. Bergman},
journal= {arXiv preprint arXiv:cond-mat/9805167},
year = {2009}
}
Comments
14 pages. Submitted to Phys. Rev. B