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We consider wave propagation across an infinite waveguide of an arbitrary bounded cross-section, whose interior is blocked by two identical thick barriers with holes. When the holes are small, the waves over a broad range of frequencies are…

Mathematical Physics · Physics 2021-10-14 A. Delitsyn , D. S. Grebenkov

The propagation of waves in complex media can be harnessed either by taming the incident wave-field impinging on the medium or by forcing waves along desired paths through its careful design. These two alternative strategies have given rise…

Materials Science · Physics 2019-02-15 Benoît Gérardin , Jérôme Laurent , François Legrand , Claire Prada , Alexandre Aubry

Two-dimensional electron systems with spin-orbit coupling in the proximity of a superconductor and a magnetic insulator have recently been considered as promising candidates to realize topological superconducting phases. Here we discuss…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Teemu Ojanen , Takuya Kitagawa

Two well-known Hall-like effects are occurring in ferromagnets: the Anomalous Hall effect and the Planar Hall effect. The former is analogous to the classical Hall effect and is defined by the Onsager reciprocity relation of the second kind…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Jean-Eric Wegrowe , Luqian Zhou , Sariah Al Saati

We study theoretically the spin-Hall effect as well as its reciprocal phenomenon (a transverse charge current driven by a spin-dependent chemical potential gradient) in electron and hole finite size mesoscopic systems. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. M. Hankiewicz , Jian Li , Tomas Jungwirth , Qian Niu , Shun-Qing Shen , Jairo Sinova

In this paper we give a survey of some models of the integer and fractional quantum Hall effect based on noncommutative geometry. We begin by recalling some classical geometry of electrons in solids and the passage to noncommutative…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matilde Marcolli , Varghese Mathai

Nonlinear transport phenomena offer an exciting probe into the band geometry and symmetry properties of a system. While most studies on nonlinear transport have looked at second-order nonreciprocal responses in noncentrosymmetric systems,…

Mesoscale and Nanoscale Physics · Physics 2024-06-04 Debottam Mandal , Sanjay Sarkar , Kamal Das , Amit Agarwal

We study theoretically transverse photoconductivity induced by circularly polarized radiation, i.e. the photovoltaic Hall effect, and linearly polarized radiation causing intraband optical transitions in two-dimensional electron gas (2DEG).…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 M. V. Durnev

We have studied a one-dimensional channel with a wider, straight region irradiated by an external electromagnetic field. In this system the interplay between interference effects and resonance phenomena manifests itself and provides a new…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Blom , L. Y. Gorelik

The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Z. Z. Du , C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

We apply homogenization theory to calculate the effective electric conductivity and Hall coefficient tensor of passive three-dimensionally periodic metamaterials subject to a weak external static homogeneous magnetic field. We not only…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Christian Kern , Graeme W Milton , Muamer Kadic , Martin Wegener

Resonant transmission occurs when constructive interference results in the complete passage of an incoming wave through an array of barriers. In this paper we explore such a scenario with one dimensional models. We adopt wave packets with…

Quantum Physics · Physics 2023-10-11 A. M. Michalik , F. Marsiglio

The properties which characterize the stationary Hall effect in a Hall bar are derived from the Langevin equations describing the Brownian motion of an ensemble of interacting moving charges in a constant externally applied electromagnetic…

Statistical Mechanics · Physics 2020-12-02 P. M. Déjardin , J. E. Wegrowe

Influences of topological defect and dislocation on conductivity behavior of charge carries in external electromagnetic fields are studied. Particularly the quantum Hall effect is investigated in detail. It is found that the nontrivial…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Kai Ma , Jian-Hua Wang , Huan-Xiong Yang , Hua-Wei Fan

We study the optical properties of gapped two-dimensional materials which are subject to the quantum anomalous Hall effect. At sufficiently low temperatures the transmission, reflection and absorption coefficients are found to have a…

Mesoscale and Nanoscale Physics · Physics 2026-05-25 Nathan Pravda , Oleg L. Berman , Klaus Ziegler

Integer and fractional quantum Hall effects were studied with different physics models and explained by different physical mechanisms. In this paper, the common physical mechanism for integer and fractional quantum Hall effects is studied,…

General Physics · Physics 2012-01-25 Jianhua wang , Kang Li , Shuming Long , Yi Yuan

We find a new set of exact solutions to Maxwell's equations in space--time varying materials, where the refractive index is constant, while the impedance exhibits effective motion, i.e. it is a function of $x-vt$. We find that waves…

Optics · Physics 2024-04-16 Mingjie Li , S. A. R. Horsley

Exploring new Hall effect is always a fascinating research topic. The ordinary Hall effect and the quantum Hall effect, initially discovered in two-dimensional (2D) non-magnetic systems, are the phenomena that a transverse current is…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 Chaoxi Cui , Run-Wu Zhang , Yilin Han , Zhi-Ming Yu , Yugui Yao

Over the past decade, there has been a great interest in topological effects, with concepts originally developed in the context of electron transport in condensed matter platforms now being extended to optical systems. While topological…

Optics · Physics 2023-08-21 Mario G. Silveirinha

In this work we investigate an unusual transport phenomenon observed in two-dimensional electron gas under integer quantum Hall effect conditions. Our calculations are based on the screening theory, using a semi-analytical model. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 S. Erden Gulebaglan , S. B. Kalkan , S. Sirt , E. M. Kendirlik , A. Siddiki