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We extend results of [Liu et al. Proc. Roy. Soc. Lond. A 469, 20130240, 2013] on artificial magneto-electric coupling and magnetism in moderate contrast dielectric layered media via high-order homogenization to the three-dimensional…

Optics · Physics 2022-11-11 B. Gralak , Y. Liu , S. Guenneau

Dispersion properties of electromagnetic crystals formed by small uniaxial resonant scatterers (magnetic or electric) are studied using the local field approach. The goal of the study is to determine the conditions under which the…

Materials Science · Physics 2009-11-11 Pavel A. Belov , Constantin R. Simovski

We derive exact nonlocal expressions for the effective dielectric constant tensor ${\boldsymbol \varepsilon}_e({\bf k}_I, \omega)$ of disordered two-phase composites and metamaterials from first principles. This formalism extends the…

Soft Condensed Matter · Physics 2021-04-07 Salvatore Torquato , Jaeuk Kim

Arrays of cylindrical metal micro-resonators embedded in a dielectric matrix were proposed by Pendry, et. al., in 1999 as a means of creating a microscopic structure that exhibits strong bulk magnetic behavior at frequencies not realized in…

Mathematical Physics · Physics 2007-12-14 Robert V. Kohn , Stephen P. Shipman

To discuss the properties of metamaterials on physical grounds and to consider them in applications, effective material parameters are usually introduced and assigned to a given metamaterial. In most cases, only weak spatial dispersion is…

We study the frequency dependence of the effective electromagnetic parameters of left-handed and related meta-materials of the split ring resonator and wire type. We show that the reduced translational symmetry (periodic structure) inherent…

Materials Science · Physics 2009-11-10 Th. Koschny , P. Markos , E. N. Economou , D. R. Smith , D. C. Vier , C. M. Soukoulis

We present a formulation for high-order generalized periodicity conditions in the context of a high-order electromechanical theory including flexoelectricity, strain gradient elasticity and gradient dielectricity, with the goal of studying…

Numerical Analysis · Mathematics 2023-11-15 J. Barceló-Mercader , D. Codony , A. Mocci , I. Arias

We present a novel approach to calculate the effective exchange interaction parameters based on the realistic electronic structure of correlated magnetic crystals in local approach with the frequency dependent self energy. The analog of…

Strongly Correlated Electrons · Physics 2009-10-31 M. I. Katsnelson , A. I. Lichtenstein

The reason of the non-locality of constitutive (material) parameters extracted in a usual way from the reflection-transmission coefficients of composite slab at moderately low frequencies is explained. The physical meaning of these…

Materials Science · Physics 2007-05-23 Constantin R. Simovski

Combining quantum and Bayesian principles leads to optimality in metrology, but the optimisation equations involved are often hard to solve. This work mitigates this problem with a novel class of measurement strategies for quantities…

Quantum Physics · Physics 2024-09-06 Jesús Rubio

An analytical model for homogenization of Metamaterials (MM) with interacting Metaatoms (MA) is developed based on multipole approach for bulk media. The interaction is assumed to be near field type. i.e. no retardation in lateral direction…

Optics · Physics 2012-06-01 A. Chipouline , S. Sugavanam , J. Petschulat , T. Pertsch

We extend density matrix embedding theory to periodic systems, resulting in an electronic band structure method for solid-state materials. The electron correlation can be captured by means of a local impurity model using various choices of…

Strongly Correlated Electrons · Physics 2019-09-27 Hung Q. Pham , Matthew R. Hermes , Laura Gagliardi

In this paper a multi-band envelope-function Hamiltonian for lattice-matched semiconductor heterostructures is derived from first-principles norm-conserving pseudopotentials. The theory is applicable to isovalent or heterovalent…

Materials Science · Physics 2007-05-23 Bradley A. Foreman

Describing electron-phonon interactions in a solid requires knowledge of the electron-phonon matrix elements in the Hamiltonian. State-of-the-art first-principles calculations for the electron-phonon interaction are limited to the…

It is shown, for the first time, that negative refraction with positive phase velocity refraction can be realized (and controlled) over a wide range of frequency on the first (lowest) pass band of simple photonic and phononic crystals.…

Materials Science · Physics 2016-03-14 Sia Nemat-Nasser

Nanostructures with one-dimensional periodicity, such as multilayered structures, are currently in the focus of active research in the context of hyperbolic metamaterials and photonic topological structures. An efficient way to describe the…

Optics · Physics 2020-02-26 Maxim A. Gorlach , Mikhail Lapine

First principles approaches have been successful in solving many-body Hamiltonians for real materials to an extent when correlations are weak or moderate. As the electronic correlations become stronger often embedding methods based on first…

This article is meant as a gentle introduction to the "topological terms" that often play a decisive role in effective theories describing topological quantum effects in condensed matter systems. We first take up several prominent examples,…

Strongly Correlated Electrons · Physics 2015-02-20 Akihiro Tanaka , Shintaro Takayoshi

This article discusses electromagnetic properties of volumetric metamaterial samples with essentially discrete structure, that is, assembled as a periodic array of electromagnetic resonators. We develop an efficient numerical procedure for…

Applied Physics · Physics 2025-09-19 Aleksander O. Makarenko , Maxim A. Yurkin , Alexey A. Shcherbakov , Mikhail Lapine

Multiferroics are materials where two or more ferroic orders coexist owing to the interplay between spin, charge, lattice and orbital degrees of freedom. The explosive expansion of multiferroics literature in recent years demon-strates the…