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High-frequency wave propagation is often modelled by nonlinear Friedrichs systems where both the differential equation and the initial data contain the inverse of a small parameter $\varepsilon$, which causes oscillations with wavelengths…

Analysis of PDEs · Mathematics 2024-02-21 Julian Baumstark , Tobias Jahnke

Exotic forms of wave control have been emerging by engineering matter in space and time. In this framework, temporal photonic interfaces, i.e., abrupt changes in the electromagnetic properties of a material, have been shown to induce…

Anomalous transport processes in which the variance of the distance travelled does not necessarily increase linearly with time are modelled using the formalism of continuous time random walks. We compute particle propagators which have the…

Astrophysics · Physics 2011-05-23 B. R. Ragot , J. G. Kirk

In recent years, the fantastic phenomena of negative Goos-H\"anchen shifts were studied in several optics experiments with the positive refractivity materials, which is predicted by many scientists through both classical physics or quantum…

Optics · Physics 2012-12-13 Jiang Rong , Huang Zhi-Xun , Lu Gui-Zhen

We extend a previous analysis of spatial correlation functions for classical electromagnetic vector fields near a perfectly conducting boundary [PRE, vol. 73, 036604 (2006)] to the case of an isotropic semi-infinite medium with planar…

Optics · Physics 2009-11-13 Luk R. Arnaut

We investigate the influence of random variations of the Galactic gravitational field on the apparent celestial positions of extragalactic sources. The basic statistical characteristics of a stochastic process (first-order moments, an…

Astrophysics of Galaxies · Physics 2017-02-03 T. Larchenkova , A. Lutovinov , N. Lyskova

Reflection and transmission of electrons scattered by a rectangular potential step in the presence of an external magnetic field parallel to the electron beam is described with the use of the Dirac equation. It is shown that in addition to…

Quantum Physics · Physics 2020-06-24 Wlodek Zawadzki , Pawel Pfeffer

Non-Hermitian skin effect, the localization of an extensive number of eigenstates at the ends of the system, has greatly expanded the frontier of physical laws. It has long been believed that the present of skin modes is equivalent to the…

Mesoscale and Nanoscale Physics · Physics 2023-04-17 Gang-Feng Guo , Xi-Xi Bao , Han-Jie Zhu , Xiao-Ming Zhao , Lin Zhuang , Lei Tan , Wu-Ming Liu

The energy level statistics of 2D electrons with spin-orbit scattering are considered near the disorder induced metal-insulator transition. Using the Ando model, the nearest-level-spacing distribution is calculated numerically at the…

Condensed Matter · Physics 2009-10-28 L. Schweitzer , I. Kh. Zharekeshev

Non-Hermitian systems give rise to distinct topological phenomena, yet their manifestations at temporal interfaces characterized by abrupt changes in system parameters remain largely unex plored. Upon an abrupt alteration of the Hamiltonian…

It is found that the amphoteric refraction, i.e. the refraction can be either positive or negative depending on the incident angles, could occur at a planar interface associated with a uniaxially anisotropic positive index media (PIM) or an…

Optics · Physics 2007-05-23 Hailu Luo , Wei Hu , Xunong Yi , Haiying Liu , Jing Zhu

Acting as analog models of curved spacetime, surfaces of revolution employed for exploring novel optical effects are followed with great interest nowadays to enhance our comprehension of the universe. It is of general interest to understand…

Optics · Physics 2024-01-22 Suting Ju , Chenni Xu , Li-Gang Wang

Previous research has attempted to minimize the influence of loss in reflection- and transmission-type acoustic metasurfaces. This letter shows that, by treating the acoustic metasurface as a non-Hermitian system and by harnessing loss,…

Applied Physics · Physics 2019-11-27 Xu Wang , Xinsheng Fang , Dongxing Mao , Yun Jing , Yong Li

We consider the impact of electron-electron interactions on the temperature dependence of the anomalous Hall effect in disordered conductors. The microscopic analysis is carried out within the diagrammatic approach of the linear response…

Mesoscale and Nanoscale Physics · Physics 2020-04-20 Songci Li , Alex Levchenko

Inverse Anderson transitions, where the flat-band localization is destroyed by disorder, have been wildly investigated in quantum and classical systems in the presence of Abelian gauge fields. Here, we report the first investigation on…

Mesoscale and Nanoscale Physics · Physics 2023-05-31 Weixuan Zhang , Haiteng Wang , Houjun Sun , Xiangdong Zhang

Reading antiferromagnetic order remains a central obstacle for antiferromagnetic memory and logic because zero net magnetisation precludes conventional magnetic readout. Domain imaging typically relies on x-ray magnetic linear dichroism…

The simultaneous breaking of time-reversal and inversion symmetry can lead to peculiar effects in Josephson junctions, such as the anomalous Josephson effect or supercurrent rectification, which is a dissipationless analog of the diode…

We study the broadening of initially localized wave packets in a quasi one-dimensional diamond ladder with interacting, spinless fermions. The lattice possesses a flat band causing localization. We place special focus on the transition away…

Statistical Mechanics · Physics 2024-06-04 Mirko Daumann , Thomas Dahm

Context. High accuracy astrometric instruments like Gaia aiming at an accuracy of 1 microarcsecond cannot be considered as point-like observers in the framework of relativistic modelling of observable quantities. Aims. Special-relativistic…

Astrophysics · Physics 2007-05-23 G. Anglada-Escude , S. Klioner , M. Soffel , J. Torra

We review recent progress in analysing wave scattering in systems with both intrinsic chaos and/or disorder and internal losses, when the scattering matrix is no longer unitary. By mapping the problem onto a nonlinear supersymmetric…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. V. Fyodorov , D. V. Savin , H. -J. Sommers