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Partial wave theory of a two dimensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a ``hard disk'' like potential and the magnetic flux is…

Quantum Physics · Physics 2015-06-26 de-Hone Lin

The impedance matrix method is applied to study the scattering of flexural waves propagating in an infinite thin plate containing an $N$-beam resonator. The resonator consists of a circular hole containing a smaller plate connected to the…

Classical Physics · Physics 2018-02-14 Alfonso Climente , Penglin Gao , Linzhi Wu , José Sánchez-Dehesa

We present an analysis of scattering by a fluid-mechanical `black hole analogue', known as the draining bathtub vortex: a two-dimensional flow which possesses both a sonic horizon and an ergoregion. We consider the scattering of a plane…

General Relativity and Quantum Cosmology · Physics 2013-07-02 Sam R. Dolan , Ednilton S. Oliveira

The dynamics of Rydberg states of atomic hydrogen illuminated by resonant elliptically polarized microwaves is investigated both semiclassically and quantum mechanically in a simplified two-dimensional model of an atom. Semiclassical…

chao-dyn · Physics 2009-10-31 Krzysztof Sacha , Jakub Zakrzewski

Conical space emerges inevitably as an outer space of any topological defect of the vortex type. Quantum-mechanical scattering of a nonrelativistic particle by a vortex centred in conical space is considered, and effects of the transverse…

Quantum Physics · Physics 2014-11-20 Yu. A. Sitenko , N. D. Vlasii

Arbitrary waves incident on a solid embedded nanoparticle are studied. The acoustic vibrational frequencies are shown to correspond to the poles of the scattering cross section in the complex frequency plane. The location of the poles is…

Materials Science · Physics 2007-05-23 L. Saviot , D. B. Murray

Quantized vortices are the prototypical feature of superfluidity. Pervasive in all natural systems, vortices are yet to be observed in dipolar quantum gases. Here, we exploit the anisotropic nature of the dipole-dipole interaction of a…

Superfluid vortices are quantum excitations carrying quantized amount of orbital angular momentum in a phase where global symmetry is spontaneously broken. We address a question of whether magnetic vortices in superconductors with dynamical…

High Energy Physics - Theory · Physics 2021-07-07 Kenji Fukushima , Yoshimasa Hidaka , Ho-Ung Yee

The effective mass approximation is used to consider plasma and magnetoplasma waves in an electron system on the surface of the semiconductor cylindrical nanotube. The electron-electron coupling is taken into account in the random phase…

Mesoscale and Nanoscale Physics · Physics 2009-02-24 A. M. Ermolaev , G. I. Rashba

Waves of various types carry momentum, which is associated with their propagation direction, i.e., the phase gradient. The circulation of the wave momentum density gives rise to orbital angular momentum (AM). Additionally, for waves…

Optics · Physics 2025-10-17 Konstantin Y. Bliokh

We study linear and nonlinear wave scattering by an optical vortex in a self-defocusing nonlinear Kerr medium. In the linear case, we find a splitting of a plane-wave front at the vortex proportional to its circulation, similar to what…

Pattern Formation and Solitons · Physics 2009-11-07 Dragomir Neshev , Alexander Nepomnyashchy , Yuri S. Kivshar

Cubic chiral magnets, such as Cu$_{2}$OSeO$_{3}$, exhibit a variety of non-collinear spin textures, including a trigonal lattice of spin whirls, so-called skyrmions. Using magnetic resonant elastic x-ray scattering (REXS) on a crystalline…

We study resonant tunneling through a periodic square array of quantum dots sandwiched between modulation-doped quantum wells. If a magnetic field is applied parallel to the quantum dot plane, the tunneling current exhibits a highly complex…

Mesoscale and Nanoscale Physics · Physics 2019-04-15 L. S. Petrosyan , T. V. Shahbazyan

With a generic lattice model for electrons occupying a semi-infinite crystal with a hard surface, we study the eigenstates of the system with a bulk band gap (or the gap with nodal points). The exact solution to the wave functions of…

Strongly Correlated Electrons · Physics 2018-11-14 Xin-Zhong Yan , C. S. Ting

We address the recently-observed unexpected behavior of Aharonov-Bohm oscillations in the electronic Mach-Zehnder interferometer that was realized experimentally in a quantum Hall system [1]. We argue that the measured lobe structure in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eugene V. Sukhorukov , Vadim V. Cheianov

We investigate theoretically the electron states in HgTe quantum dots (QDs) with inverted band structures. In sharp contrast to conventional semiconductor quantum dots, the quantum states in the gap of HgTe quantum dot with an inverted band…

Mesoscale and Nanoscale Physics · Physics 2011-09-21 Kai Chang , W. K. Lou

In magnetic superconductors a moving vortex lattice is accompanied by an ac magnetic field which leads to the generation of spin waves. At resonance conditions the dynamics of vortices in magnetic superconductors changes drastically,…

Superconductivity · Physics 2009-11-11 L. N. Bulaevskii , M. Hruška , M. P. Maley

The interaction of a spin wave with a stationary Bloch point is studied. The topological non-trivial structure of the Bloch point manifests in the propagation of spin waves endowing them with a gauge potential that resembles the one…

Mesoscale and Nanoscale Physics · Physics 2015-09-10 Vagson L. Carvalho-Santos , Ricardo Gabriel Elías , Alvaro S. Núñez

The resonant scattering of surface plasmon-polariton waves by embedded semiconductor quantum dots above the dielectric/metal interface is explored in the strong-coupling regime. In contrast to non-resonant scattering by a localized…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Danhong Huang , Michelle Easter , Godfrey Gumbs , A. A. Maradudin , Shawn-Yu Lin , Dave Cardimona , Xiang Zhang

We present a relativistic description of electron vortex beams in a homogeneous magnetic field. Including spin from the beginning reveals that spin-polarized electron vortex beams have a complicated azimuthal current structure, containing…

Quantum Physics · Physics 2017-07-21 Koen van Kruining , Armen G. Hayrapetyan , Jörg B. Götte