Faraday effect in composites

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 pc, we use a high contrast or low frequency expansion combined with scaling. The results of the two methods are in agreement and predict that near pc (and below, that is, in the dielectric region), the Faraday effect is greatly enhanced.

Magnetotransport in conducting composite films with a disordered columnar microstructure and an in-plane magnetic field

“…This is due to the fact that the material response, although linear, is characterized by a nonsymmetric (electrical conductivity) tensor, and to the fact that this tensor has a nonlinear dependence on the magnetic field B. [2][3][4][5][6][7][8][9][10][11][12][13] Some of those developments are described in a 1992 review article on physical properties of macroscopically inhomogeneous media. 14 More recently, composite structures with a columnar microstructure, i.e., a structure that is uniform along a columnar symmetry axis, have received some attention.…”

Plasmon-mediated magneto-optical transparency

“…Further, an external magnetic field can modify frequencies and distributions of the modes giving rise to a multifaceted phenomenology2345. An additional degree of freedom opens up in metal-dielectric nanocomposites67 as well as periodic magnetic structures with the period close to the wavelength of a mode89101112131415.…”

Expanding Effective-Medium Theory to Optical Diamagnetic Responses in Magnetoplasmonic Colloids

“…The interaction of polarized light with metal clusters and nanoparticles embedded in dielectric hosts has been a recurrent topic over the last three decades [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. One of the most investigated aspects in this field has been the enhanced magneto-optic response mediated by the excitation of localized surface-plasmon resonances (LSPRs) [2,6,8,12,14,16].…”

“…By and large, the research in such composite metal-dielectric composites has been essentially focused on the magnification of the optical properties of the magnetic-metal nanostructures. Large magneto-optic activity has been predicted and confirmed experimentally for ferromagnetic-metal nanostructures coupled to plasmon resonances [1, 2,5,6,8,14,16]. These effects are so strong that the enhanced polarizability of small metal clusters has been demonstrated to induce sizable magneto-optic signals even in nonmagnetic metals [17].…”

“…The models developed so far have considered magnetic effects in composites by including permittivity tensors involving off-diagonal terms induced by magnetic fields [1][2][3][4][5]. However, such studies have been restricted either to composites incorporating materials with spontaneous magnetization, e.g., ferromagnets or ferrimagnets [1][2][3][4][5] or to compounds such as metals, that exhibit magnetoconductance or Hall conductivity [22,23]. Yet, the optical response of diamagnetic systems has not been considered explicitly in effective-medium models.…”