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Modeling time-harmonic Maxwell problems in heterogeneous media presents significant mathematical and computational challenges. Due to the inherent non-elliptic structure and non-coercive nature of Maxwell equations, conventional methods…

Numerical Analysis · Mathematics 2026-04-30 Xiang Zhong , Eric T. Chung , Xingguang Jin

We present the construction of a reciprocal electromagnetic field by extending the Berry curvatures into four-dimensional (4D) energy-momentum space. The resulting governing equations, termed Berry-Maxwell equations, are derived, by…

Classical Physics · Physics 2024-10-03 Yiming Pan , Ruoyu Yin

We review Maxwell's equations and constitutive relations for 3D bianisotropic media in a generalized form: we consider all four variables and allow for nonzero polarization or magnetization, and also nonzero nonzero magnetic charge or…

Computational Physics · Physics 2022-12-23 Tharindu Fernando , Martin Licht , Michael Holst

The observation of delicate correlated phases in twisted heterostructures of graphene and transition metal dichalcogenides suggests that moir\'e flat bands are intrinsically resilient against certain types of disorder. Here, we investigate…

Mesoscale and Nanoscale Physics · Physics 2025-07-22 Valentin Crépel , Peize Ding , Nishchhal Verma , Nicolas Regnault , Raquel Queiroz

We investigate the existence of BPS structures in a Maxwell-Higgs electrodynamics immersed within a chiral medium, whose electromagnetic properties are described by both the Chern-Simons term and a neutral scalar field. The implementation…

High Energy Physics - Theory · Physics 2024-02-29 J. Andrade , Rodolfo Casana , E. da Hora

It is shown that conserved charges associated with a specific subclass of gauge symmetries of Maxwell electrodynamics are proportional to the well known electric multipole moments. The symmetries are residual gauge transformations surviving…

High Energy Physics - Theory · Physics 2017-08-02 Ali Seraj

Topology and chirality of fermionic quasiparticles have enabled exciting discoveries, including quantum anomalous Hall liquids and topological superconductivity. Recently, topological and chiral phonons emerge as new and fast-evolving…

Materials Science · Physics 2025-04-16 Tiantian Zhang , Shuichi Murakami , Hu Miao

We formulate a theory of classical electrodynamics where the only admissible electric charges are topological singularities in the electromagnetic field, and charge quantization is accounted by the Chern theorem, such that Dirac magnetic…

Mesoscale and Nanoscale Physics · Physics 2024-11-19 Bruno Golik , Dario Jukić , Hrvoje Buljan

We study topological systems with both a chiral and a spatial symmetry which result in an additional spatial chiral symmetry. We distinguish the topologically nontrivial states according to the chiral symmetries protecting them and study…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Jinpeng Xiao , Jin An

Topological physics strongly relies on prototypical lattice model with particular symmetries. We report here on a theoretical and experimental work on acoustic waveguides that is directly mapped to the one-dimensional Su-Schrieffer-Heeger…

Mesoscale and Nanoscale Physics · Physics 2022-01-13 Antonin Coutant , Audrey Sivadon , Liyang Zheng , Vassos Achilleos , Olivier Richoux , Georgios Theocharis , Vincent Pagneux

In this work, we develop a potential-based formalism for Maxwell's equations in isotropic media with weak spatial dispersion within the electric quadrupole-magnetic dipole approximation. We introduce an operator form of the constitutive…

Other Condensed Matter · Physics 2025-10-28 Yury Solyaev

Multi-Weyl semimetals are a kind of topological phase of matter with discrete Weyl nodes characterized by multiple monopole charges, in which the chiral anomaly, the anomalous nonconservation of an axial current, occurs in the presence of…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Ze-Min Huang , Jianhui Zhou , Shun-Qing Shen

We analytically describe the plasmonic edge modes for an interface that involves the twisted bilayer graphene (TBG) or other similar Moire van der Waals heterostructure. For this purpose, we employ a spatially homogeneous, isotropic and…

Mesoscale and Nanoscale Physics · Physics 2021-09-21 Dionisios Margetis , Tobias Stauber

A generally covariant four-dimensional representation of Maxwell's electrodynamics in a generic material medium can be achieved straightforwardly in the metric-free formulation of electromagnetism. In this setup, the electromagnetic…

General Relativity and Quantum Cosmology · Physics 2014-04-01 Yakov Itin

Although topological materials have recently seen tremendous development, their applications have remained elusive. Simultaneously, there exists considerable interest in pushing the limits of topological materials, including the exploration…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Sophia R. Sklan , Baowen Li

We present a method developed to deal with electromagnetic wave propagation inside a material medium that reacts, in general, non-linearly to the field strength. We work in the context of Maxwell' s theory in the low frequency limit and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. A. De Lorenci , M. A. Souza

The unambiguous detection of the band topology for topological nodal systems remains an urgent problem in this field. Usually in experiments this relies on the detection for the topological edge modes, which may requires the high demands…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 Kun Bu

Magnetic monopole, a hypothetical elementary particle with isolated magnetic pole, is crucial for the quantization of electric charge. In recent years, analogues of magnetic monopoles, represented by topological defects in parameter spaces,…

Quantum Gases · Physics 2018-08-01 Haiping Hu , Chuanwei Zhang

We investigate the chiral electronic modes at the interface between two regions of a threefold topological semimetal, which is illuminated by left and right handed elliptically polarized waves. The radiation effects on the band structure of…

Mesoscale and Nanoscale Physics · Physics 2019-10-16 SK Firoz Islam , A. A. Zyuzin

In heavy-ion collisions, an interesting question of phenomenological relevance is how the chiral imbalance generated at early times persists through a fluctuating background of sphalerons in addition to other "non-anomalous" interactions…

High Energy Physics - Phenomenology · Physics 2017-12-13 Niklas Mueller , Raju Venugopalan
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