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We investigate numerically and experimentally the near-field response of disordered arrays comprising asymmetrically split ring resonators that exhibit strong cooperative response. Our simulations treat the unit cell split ring resonators…

Tight bosonic analogs of free-fermionic symmetry-protected topological phases, and their associated edge-localized excitations, have long evaded the grasp of condensed-matter and AMO physics. In this work, building on our initial…

Quantum Physics · Physics 2024-01-17 Vincent P. Flynn , Emilio Cobanera , Lorenza Viola

We present a general formalism of multipole descriptions under the space-time inversion group. We elucidate that two types of atomic toroidal multipoles, i.e., electric and magnetic, are fundamental pieces to express electronic order…

Strongly Correlated Electrons · Physics 2018-02-26 Satoru Hayami , Hiroaki Kusunose

In this work, we propose a coupled mode theory for resonant response from quasi-guided modes in periodic dielectric metasurfaces. First, we derived a generic set of constraints imposed onto the parameters of the temporal coupled mode theory…

Magneto-toroidal order, also called ferrotoroidicity, is the most recently established type of ferroic state. It is based on a spontaneous and uniform alignment of unit-cell-sized magnetic whirls, called magneto-toroidal moments, associated…

Mesoscale and Nanoscale Physics · Physics 2023-09-07 Jannis Lehmann , Naëmi Leo , Laura Jane Heyderman , Manfred Fiebig

It is shown that a new type of metamaterial, a 3D-array of toroidal solenoids, displays a significant toroidal response that can be readily measured. This is in sharp contrast to materials that exist in nature, where the toroidal component…

Classical Physics · Physics 2007-09-25 K. Marinov , A. D. Boardman , V. A. Fedotov , N. Zheludev

Stereometamaerials can fully utilize the 3D degrees of freedom to exploit the coupling and hybridization between multiple split ring resonators (SRRs), enabling more extraordinary resonances and properties over their planar counterparts.…

Optics · Physics 2014-09-26 Sheng Lei Wang , Jun Jun Xiao , Qiang Zhang , Xiao Ming Zhang

Magnetic toroidal dipole (MTD) is one of a fundamental constituent to induce magneto-electric effects in the absence of both spatial inversion and time-reversal symmetries. We report on a microscopic investigation of the atomic-scale MTD in…

Strongly Correlated Electrons · Physics 2019-04-19 Megumi Yatsushiro , Satoru Hayami

We investigate the role of electric toroidal dipoles in the prototypical ferroaxial materials NiTiO$_3$ and K$_2$Zr(PO$_4$)$_2$, which undergo ferroaxial structural phase transitions of order-disorder and displacive type, respectively.…

Materials Science · Physics 2024-07-12 Sayantika Bhowal , Nicola A. Spaldin

Nodal-line semimetals with magnetic orders have been theoretically predicted and experimentally observed in only few compounds. We theoretically explore the electronic structure in bulk and boundary of such a magnetic nodal-line state by…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Yasufumi Araki , Jin Watanabe , Kentaro Nomura

We demonstrate that the toroidal dipolar response can be realized in the optical regime by designing a feasible nanostructured metamaterial, comprising asymmetric double-bar magnetic resonators assembled into a toroid-like configuration. It…

Optics · Physics 2015-03-13 Zheng-Gao Dong , J. Zhu , Junsuk Rho , Jia-Qi Li , Changgui Lu , Xiaobo Yin , X. Zhang

We develop a model for the coupling of quasi-normal modes in open photonic systems consisting of two resonators. By expressing the modes of the coupled system as a linear combination of the modes of the individual particles, we obtain a…

Optics · Physics 2016-11-03 Benjamin Vial , Yang Hao

All-dielectric nanophotonics attracts ever increasing attention nowadays due to the possibility to control and configure light scattering on high-index semiconductor nanoparticles. It opens a room of opportunities for the designing novel…

Topologically protected waves in the linearly polarized Maxwell's equations with gyrotropic, magneto-optic media were studied a decade ago both computationally and experimentally. This paper develops a robust tight-binding model for this…

Optics · Physics 2020-02-19 Mark J. Ablowitz , Justin T. Cole

Topological edge states in electromagnetic systems feature a set of attracting fundamental properties and unveil prospective applications based on disorder robustness and tailored localization. Despite active efforts in implementing…

Toroidal multipoles are a topic of increasing interest in the nanophotonics and metamaterials communities. In this paper, we separate out the toroidal multipole components of multipole expansions in polar coordinates (two- and…

Applied Physics · Physics 2018-07-06 Shi-Qiang Li , Kenneth B. Crozier

Magnetostatic normal modes are investigated here in elongated rods. The dipolar field resulting from the dipole-dipole interactions is calculated numerically in points of the axis connecting opposite rod face centers (\emph{central axis})…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Puszkarski , M. Krawczyk , J. -C. S. Levy

A general analytical approach to the study of electromagnetic resonances of metasurfaces consisting of meta-atoms with anisotropic electric and magnetic dipole polarizabilities and irradiated with obliquely incident light is developed in…

The electromagnetic modes and the resonances of homogeneous, finite size, two-dimensional bodies are examined in the frequency domain by a rigorous full wave approach based on an integro-differential formulation of the electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Carlo Forestiere , Giovanni Gravina , Giovanni Miano , Mariano Pascale , Roberto Tricarico

Topological photonics sheds light on some of the surprising phenomena seen in condensed matter physics that arise with the appearance of topological invariants. Optical waveguides provide a well-controlled platform to investigate effects…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Adrian J Menssen , Jun Guan , David Felce , Martin J Booth , Ian A Walmsley