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The dyadic Green's function of the inhomogeneous vector Helmholtz equation describes the field pattern of a single frequency point source. It appears in the mathematical description of many areas of electromagnetism and optics including…

Optics · Physics 2015-12-23 J. A. Crosse , Sebastian Fuchs , Stefan Yoshi Buhmann

The electromagnetic scattering properties of topological insulator (TI) spheres are systematically studied in this paper. Unconventional backward scattering caused by the topological magneto-electric (TME) effect of TIs are found in both…

Optics · Physics 2017-03-16 Lixin Ge , Dezhuan Han , Jian Zi

The interaction of electromagnetic radiation with a spheric-type three-dimensional topological insulator (TI) bead is described within classical optics framework. By virtue of the topological magnetoelectric effect (TMEE) experienced by…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 Yuri G. Muller , Winder A. Moura-Melo , Jakson M. Fonseca

The optical properties of a spherical topological insulator embedded concentrically in a single-electron system consisting of a core-shell GaAs quantum dot are analyzed, when the system is under a uniform external magnetic field. The…

Mesoscale and Nanoscale Physics · Physics 2020-05-29 Jorge David Castaño-Yepes , O. J. Franca , C. F. Ramirez-Gutierrez , J. C. del Valle

The electrodynamics of topological insulators (TIs) is described by modified Maxwell's equations, which contain additional terms that couple an electric field to a magnetization and a magnetic field to a polarization of the medium, such…

Strongly Correlated Electrons · Physics 2017-05-16 V. Dziom , A. Shuvaev , A. Pimenov , G. V. Astakhov , C. Ames , K. Bendias , J. Böttcher , G. Tkachov , E. M. Hankiewicz , C. Brüne , H Buhmann , L. W. Molenkamp

The formation of two-dimensional metal-organic frameworks (MOFs) on an inert surface of a topological insulator (TI) is a pathway to engineer quantum materials with exotic properties. MOFs featuring ferromagnetically coupled metal atoms are…

Topological insulators (TIs) exhibit a quantized magnetoelectric response when time-reversal symmetry is broken on its surface. This unusual electromagnetic (EM) response is a unique macroscopic manifestation of the quantum Hall effect on…

Mesoscale and Nanoscale Physics · Physics 2018-09-19 A. Martín-Ruiz

A striking feature of 3 dimensional (3D) topological insulators (TIs) is the theoretically expected topological magneto-electric (TME) effect, which gives rise to additional terms in Maxwell's laws of electromagnetism with an universal…

Mesoscale and Nanoscale Physics · Physics 2022-12-12 Christian Berger , Florian Bayer , Laurens W. Molenkamp , Tobias Kiessling

An exact solution is obtained for the electromagnetic field due to an electric current in the presence of a surface conductivity model of graphene. The graphene is represented by an infinitesimally-thin, local and isotropic two-sided…

Materials Science · Physics 2009-11-13 George W. Hanson

Exploration of novel electromagnetic phenomena is a subject of great interest in topological quantum materials. One of the unprecedented effects to be experimentally verified is topological magnetoelectric (TME) effect originating from an…

Mesoscale and Nanoscale Physics · Physics 2017-10-10 M. Mogi , M. Kawamura , A. Tsukazaki , R. Yoshimi , K. S. Takahashi , M. Kawasaki , Y. Tokura

We consider a thin film of a topological insulator (TI) sandwiched between two ferromagnetic (FM) layers. The system is additionally under an external gate voltage. The surface electron states of TI are magnetized due to the magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-09-19 Piotr Pigoń , Anna Dyrdał

A general analytic form of the full 6x6 dyadic Green's function of a spherically symmetric open optical system is presented, with an explicit solution provided for a homogeneous sphere in vacuum. Different spectral representations of the…

Optics · Physics 2020-09-08 E. A. Muljarov

This work presents a Green's function approach, originally implemented in graphene with well-defined edges, to the surface of a strong 3D Topological Insulator (TI) with a sequence of proximitized superconducting (S) and ferromagnetic (F)…

Mesoscale and Nanoscale Physics · Physics 2020-10-01 Oscar E. Casas , Shirley Gómez Páez , William J. Herrera

The Green function (GF) method is used to analyze the boundary effects produced by a Chern Simons (CS) extension to electrodynamics. We consider the electromagnetic field coupled to a $\theta$ term that is piecewise constant in different…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 A. Martin-Ruiz , M. Cambiaso , L. F. Urrutia

We propose that the topological magneto-electric (ME) effect, a hallmark of topological insulators (TIs), can be realized in thin films of TIs in the $\nu=0$ quantum Hall state under magnetic field or by doping two magnetic ions with…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Takahiro Morimoto , Akira Furusaki , Naoto Nagaosa

Topological magnetoelectric effect (TME) is a hallmark response of the topological field theory, which provides a paradigm shift in the study of emergent topological phenomena. However, its direct observation is yet to be realized due to…

Mesoscale and Nanoscale Physics · Physics 2022-08-02 Yuhao Wan , Jiayu Li , Qihang Liu

Topological insulators (TIs) are materials that are insulating in the bulk but have zero band gap surface states with linear dispersion and are protected by time reversal symmetry. These unique characteristics could pave the way for many…

Computational Physics · Physics 2024-02-22 Thomas K. Reid , S. Pamir Alpay , Alexander V. Balatsky , Sanjeev K. Nayak

Electrons with a linear energy/momentum dispersion are called massless Dirac electrons and represent the low-energy excitations in exotic materials like Graphene and Topological Insulators (TIs). Dirac electrons are characterized by notable…

In this paper, dyadic Green's function for a graphene-dielectric stack is formulated based on the scattering superposition method. To this end, scattering Green's function in each layer is expanded in terms of cylindrical vector wave…

Computational Physics · Physics 2021-08-04 Shiva Hayati Raad , Zahra Atlasbaf , Mauro Cuevas

The most interesting experimental results obtained in studies of 2D and 3D topological insulators (TIs) based on HgTe quantum wells and films are reviewed. In the case of 2D TIs, these include the observation of nonlocal ballistic and…

Mesoscale and Nanoscale Physics · Physics 2020-12-29 Z. D. Kvon , D. A. Kozlov , E. B. Olshanetsky , G. M. Gusev , N. N. Mikhailov , S. A. Dvoretsky
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