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Anisotropic magnetic colloids with permanent dipole moments exhibit rich field-responsive behavior arising from the interplay between particle geometry, dipolar interactions, and external driving. Modeling these systems remains challenging…

Soft Condensed Matter · Physics 2026-04-07 Jorge L. C. Domingos

Toroidal order, given by a composite of electric and magnetic orders, manifests itself not only in the peculiar magnetism but also in anomalous transport and magnetoelectric effect. We report our theoretical results on the influence and…

Strongly Correlated Electrons · Physics 2014-08-05 Satoru Hayami , Hiroaki Kusunose , Yukitoshi Motome

We present a toroidal electromagnetic ansatz that provides a realistic microscopic model of the QED electron. The proposed toroidal electromagnetic wave satisfies Maxwell's equations and reproduces fundamental properties of the electron as…

Quantum Physics · Physics 2025-10-30 Carlos A. M. dos Santos , Marc J. J. Fleury

Magnetic molecules are investigated with respect to their usability as units in future quantum devices. In view of quantum computing, a necessary prerequisite is a long coherence time of superpositions of low-lying levels. In this article,…

Strongly Correlated Electrons · Physics 2023-10-04 K. Irländer , J. Schnack

A whole series of expressions for four species of multipoles (electric, magnetic, magnetic toroidal, and electric toroidal) is provided as a complete basis set to describe arbitrary single-centered spinful electron systems. A compact…

Strongly Correlated Electrons · Physics 2020-09-17 Hiroaki Kusunose , Rikuto Oiwa , Satoru Hayami

With the rise of artificial magnetism and metamaterials, the toroidal family recently attracts more attention for its unique properties. Here we propose an all-dielectric pentamer metamolecule consisting of nano-cylinders with two toroidal…

Optics · Physics 2019-03-05 T. C. Huang , B. X. Wang , C. Y. Zhao

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

The isoscalar toroidal dipole strength distributions in spherical nuclei are calculated in the framework of a fully consistent relativistic random phase approximation. It is suggested that the recently observed "low-lying component of the…

Nuclear Theory · Physics 2016-09-08 D. Vretenar , N. Paar , P. Ring , T. Niksic

The change in the arrangement of magnetic dipole moments in a magnetic metasurface, due to the influence of an external static magnetic field, is discussed. Each meta-atom of the metasurface is composed of three identical disk-shaped…

Applied Physics · Physics 2023-10-11 Vladimir R. Tuz , Andrey B. Evlyukhin , Volodymyr I. Fesenko

We address the impact of sterile fermions on charged lepton electric dipole moments. We show that in order to have a non-vanishing contribution to electric dipole moments, the minimal extension necessitates the addition of at least two…

High Energy Physics - Phenomenology · Physics 2016-11-11 Asmaa Abada , Takashi Toma

When the sizes of photonic nanoparticles are much smaller than the excitation wavelength, their optical response can be efficiently described with a series of polarizability tensors. Here, we propose a universal method to extract the…

Mesoscale and Nanoscale Physics · Physics 2020-06-22 Adelin Patoux , Clément Majorel , Peter R. Wiecha , Aurélien Cuche , Otto L. Muskens , Christian Girard , Arnaud Arbouet

Coherent, optically dressed media composed of two-level molecular systems without inversion symmetry are considered as all-optically tunable sources of coherent radiation in the microwave domain. A theoretical model and a numerical toolbox…

Quantum Physics · Physics 2020-12-08 Piotr Gładysz , Piotr Wcisło , Karolina Słowik

In this study, we show that any system consisting of magnetic dipoles forming ordered or disordered configurations can be simplified to a form mathematically equivalent to a system consisting of two magnetic dipoles. It is shown that the…

Materials Science · Physics 2014-02-05 Igor Dimitrov , Ulaş Dinç

By studying the scattering of normally incident planewaves by a single nanowire, we reveal the indispensable role of toroidal multipole excitation in multipole expansions of radiating sources. It is found that for both p-polarized and…

Optics · Physics 2015-05-21 Wei Liu , Jianfa Zhang , Bing Lei , Haojun Hu , Andrey E. Miroshnichenko

Background: Calculation of the electric field induced by transcranial magnetic stimulation (TMS) in the brain requires accurate models of the stimulation coils. Reconstructing models from the measured magnetic fields of coils so far worked…

Other Quantitative Biology · Quantitative Biology 2021-12-30 Kristoffer Hougaard Madsen , Maria Drakaki , Axel Thielscher

We present traps with toroidal $(T^{2})$ and ring-shaped topologies, based on adiabatic potentials for radio-frequency dressed Zeeman states in a ring-shaped magnetic quadrupole field. Simple adjustment of the radio-frequency fields…

Atomic Physics · Physics 2007-06-07 T. Fernholz , R. Gerritsma , P. Krueger , R. J. C. Spreeuw

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

Optical activity is ubiquitous across natural and artificial media and is conventionally understood in terms of scattering from electric and magnetic moments. Here we demonstrate experimentally and confirm numerically a type of optical…

The dipole moment is a crucial molecular property linked to a molecular system's bond polarity and overall electronic structure. To that end, the electronic dipole moment, which results from the electron density of a system, is often used…

The ability to manipulate electric and magnetic components of light at the nanoscale delivered by dielectric and semiconductor components is paving the way towards novel types of sources and nanoantennae with exceptional electromagnetic…