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Based on the analysis of biquaternion quadratic forms of field, it is shown that Maxwell equations arise as a consequence of the principle of conservation of the energy-momentum flow of field in space-time. It turns out that this principle…

Classical Physics · Physics 2024-03-05 Sergey Y. Kotkovskiy

Quantum field theory predicts Weyl semimetals to possess a peculiar response of the longitudinal current density to the application of a DC magnetic field. Such a response function has been shown to be at odds with a general result showing…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Yahya Alavirad , Jay D. Sau

In this short article, we overview a concept of electronic toroidal multipoles, and their ordering with associated physical properties in non-magnetic and magnetic materials. The toroidal multipoles are introduced as microscopic electronic…

Materials Science · Physics 2024-09-12 Hiroaki Kusunose , Satoru Hayami

In this work we study the electric field of a dipole immersed in a medium with permittivity controlled by a real scalar field which is non-minimally coupled to the Maxwell field. We model the system with an interesting function, which…

High Energy Physics - Theory · Physics 2022-01-13 D. Bazeia , M. A. Marques , R. Menezes

We realized highly tunable Weyl semimetal-bands and subsequently emulated the topological chiral magnetic effects in superconducting quantum circuits. Driving the superconducting quantum circuits with elaborately designed microwave fields,…

Mesoscale and Nanoscale Physics · Physics 2019-01-16 Xinsheng Tan , Yuxin Zhao , Qiang Liu , Guangming Xue , Haifeng Yu , Zidan Wang , Yang Yu

The classical macroscopic Maxwell equations are approximated. They are a corollary of the multipole expansion of the local electrostatic potential up to dipolar terms. But quadrupolarization of the medium should not be neglected if the…

Soft Condensed Matter · Physics 2016-10-28 Radomir I. Slavchov , Iglika M. Dimitrova , Tzanko I. Ivanov

The Cho-Maison monopole provides a monopole solution of the electroweak field equations, but possesses an infinite classical energy due to the Maxwell form of the hypercharge sector. Motivated by string-inspired effective field theories, we…

High Energy Physics - Theory · Physics 2026-02-03 N E Mavromatos , Sarben Sarkar

The geometrical interpretation of electromagnetism in transparent media (transformation optics) is extended to include media with isotropic, inhomogeneous, chirality. It is found that such media may be described through introducing the…

Optics · Physics 2012-05-28 S. A. R. Horsley

Chiral anomaly modifies the scattering processes in chiral systems which can be computed using the Maxwell-Chern-Simons theory that couples electrodynamics to the pseudoscalar field $\theta$ describing the topological charge induced be…

High Energy Physics - Phenomenology · Physics 2020-08-12 Kirill Tuchin

We investigate the charges and fluxes that can occur in higher-order Abelian gauge theories defined on compact space-time manifolds with boundary. The boundary is necessary to supply a destination to the electric lines of force emanating…

High Energy Physics - Theory · Physics 2009-11-10 Marcos Alvarez , David I. Olive

The Maxwell equations imply that, under the background of non-zero $\boldsymbol{B}$, varying $\theta$ term produces $\boldsymbol{E} \cdot \boldsymbol{B}$. An interesting example is the Witten effect where a magnetic monopole becomes a dyon…

High Energy Physics - Theory · Physics 2022-10-19 Yu Hamada , Ryuichiro Kitano , Ryutaro Matsudo , Kyohei Mukaida

We generalize the concept of Berry connection of the single-electron band structure to the two-particle Cooper pair states between two Fermi surfaces with opposite Chern numbers. Because of underlying Fermi surface topology, the pairing…

Strongly Correlated Electrons · Physics 2018-02-14 Yi Li , F. D. M. Haldane

A new method to find the propagation equation system governing the scattering of an electromagnetic wave by a nonlinear medium is proposed. The aim is to let the effects appear spontaneously, deleting as far as possible the phenomenological…

Optics · Physics 2010-11-08 Pierre Godard , Frederic Zolla , Andre Nicolet

We propose a chiral charge (electric toroidal monopole) as the hidden order parameter in URu$_{2}$Si$_{2}$, which satisfies all the symmetry conditions accumulated by many experimental and theoretical efforts since its discovery. By using…

Strongly Correlated Electrons · Physics 2024-04-23 Satoru Hayami , Hiroaki Kusunose

Magnetic skyrmions are nanoscale spin textures that their thermal stability originates from the nontrivial topology in nature. Recently, a plethora of topological spin textures have been theoretically predicted or experimentally observed,…

Mesoscale and Nanoscale Physics · Physics 2024-04-08 Yu Li , Yuzhe Zang , Runze Chen , Christoforos Moutafis

We consider the time dependent Maxwell system in the sense of distributions in the context of temporal interfaces. Just as with spatial interfaces, electromagnetic waves at temporal interfaces scatter and create a transmitted and reflected…

Analysis of PDEs · Mathematics 2025-07-29 Cristian E. Gutiérrez , Eric Stachura

Recently discussed topological materials Weyl-semimetals (WSs) combine both: high electron mobility comparable with graphene and unique topological protection of Dirac points. We present novel results related to electromagnetic field…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Nikolay M. Chtchelkatchev , Oleg L. Berman , Roman Ya. Kezerashvili , Yurii E. Lozovik

Higher-order topological insulators are a new class of topological phases of matter, originally conceived for electrons in solids. It has been suggested that $\mathbb{Z}_N$ Berry phase (Berry phase quantized into $2\pi/N$) is a useful tool…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Huanhuan Yang , Z. -X. Li , Yuanyuan Liu , Yunshan Cao , Peng Yan

Here, we investigate the Cherenkov emission by an array of moving electric charges in the vicinity of a topologically nontrivial gyrotropic material. It is shown that the nonreciprocal material response may result in a robustly asymmetric…

Optics · Physics 2018-09-26 Filipa R. Prudêncio , Mário G. Silveirinha

Nonlinear topology has been much less inquired compared to its linear counterpart. Existing advances have focused on nonlinearities of limited magnitudes and fairly homogeneous types. As such, the realizations have rarely been concerned…

Mesoscale and Nanoscale Physics · Physics 2025-01-10 Xinxin Guo , Lucien Jezequel , Mathieu Padlewski , Hervé Lissek , Pierre Delplace , Romain Fleury
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