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The Aharonov-Bohm (AB) effect has been accepted and has promoted interdisciplinary scientific activities in modern physics. To observe the AB effect in condensed matter physics, the whole system needs to maintain phase coherence, in a tiny…

Mesoscale and Nanoscale Physics · Physics 2012-03-09 Masakatsu Tsubota , Katsuhiko Inagaki , Satoshi Tanda

We predict that a charge under the influence of a quantum electrodynamic potential exhibits a force-free Aharonov-Bohm effect. The specific system considered in this study is a superconducting charge qubit nonlocally interacting with a…

Quantum Physics · Physics 2015-06-29 Young-Wan Kim , Kicheon Kang

The Aharonov Bohm scattering for spinless, isospin 1/2, particles interacting through a nonabelian Chern-Simons field is studied. Starting from the relativistic quantum field theory and using a Coulomb gauge formulation, the one loop…

High Energy Physics - Theory · Physics 2009-10-31 M. Gomes , L. C. Malacarne , A. J. da Silva

This paper undertakes a critical reexamination of the electrostatic version of the Aharonov-Bohm ("AB") effect. The conclusions are as follows: 1. Aharonov and Bohm's 1959 exposition is invalid because it does not consider the wavefunction…

Quantum Physics · Physics 2016-07-22 Allan Walstad

A new class of topological mesoscopic phenomena in absence of external magnetic field (meso-nucleo-spinics)is predicted, which is based on combined action of the nonequilibrium nuclear spin population and charge carriers spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 I. D. Vagner , A. S. Rozhavsky , P. Wyder , A. Yu. Zyuzin

We quantise the massless vector potential A of electromagnetism in the presence of a classical electromagnetic (background) current, j, in a generally covariant way on arbitrary globally hyperbolic spacetimes M. By carefully following…

Mathematical Physics · Physics 2014-08-01 Ko Sanders , Claudio Dappiaggi , Thomas-Paul Hack

We discuss two possible covariant generalizations of the Aharonov-Bohm effect - one expression in terms of the space-time line integral of the four-vector potential and the other expression in terms of the space-time "area" integral of the…

High Energy Physics - Theory · Physics 2013-05-27 Douglas Singleton , Elias C. Vagenas

The independence of the Aharonov-Bohm phase shift on particle velocity is one of its defining properties. The classical counterpart to this dispersionless behavior is the absence of forces along the direction of motion of the particle. A…

Quantum Physics · Physics 2015-07-03 Herman Batelaan , Maria Becker

In this Comment it is shown that it cannot be argued that in the magnetic AB effect there is no force acting on the particle, i.e., that the observed phase shift is entirely due to nonzero vector potential. In stationary resistive…

Quantum Physics · Physics 2014-07-21 Tomislav Ivezic

We study the interactions of non-abelian vortices in two spatial dimensions. These interactions have novel features, because the Aharonov-Bohm effect enables a pair of vortices to exchange quantum numbers. The cross section for…

High Energy Physics - Theory · Physics 2009-10-22 Hoi-Kwong Lo , John Preskill

We have investigated spin-related effects on the electronic transport in a single antidot system in the vicinity of the $\nu = 2$ quantum Hall state where two edge states with different spins of the lowest Landau level are formed around the…

Mesoscale and Nanoscale Physics · Physics 2009-11-25 Masanori Kato , Akira Endo , Shingo Katsumoto , Yasuhiro Iye

Stokes' theorem is investigated in the context of the time-dependent Aharonov-Bohm effect -- the two-slit quantum interference experiment with a time varying solenoid between the slits. The time varying solenoid produces an electric field…

High Energy Physics - Theory · Physics 2014-04-02 James Macdougall , Douglas Singleton

A massless spinor particle is considered in the background gravitational field due to a rotating body. In the weak field approximation it is shown that the solution of the Weyl equations depend on the angular momentum of the rotating body,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Geusa de A. Marques , V. B. Bezerra

We analyze a Hanbury Brown Twiss geometry in which particles are injected from two independent sources into a mesoscopic electrical conductor. The set-up has the property that all partial waves end in different reservoirs without generating…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. Samuelsson , E. V. Sukhorukov , M. Buttiker

We investigate the Aharonov-Bohm (AB) effect for the double quantum dots in the Kondo regime using the slave-boson mean-field approximation. In contrast to the non-interacting case, where the AB oscillation generally has the period of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoichi Tanaka , Norio Kawakami

We report a numerical study on Aharonov-Bohm (AB) effect and parity selective tunneling in pn junctions based on zigzag graphene nanoribbon rings. We find that when applying a magnetic field to the ring, the AB interference can reverse the…

Mesoscale and Nanoscale Physics · Physics 2014-05-02 Viet-Hung Nguyen , Yann-Michel Niquet , Philippe Dollfus

We investigate Faraday's law of induction manifested in the quantum state of Aharonov-Bohm loops. In particular, we propose a flux-switching experiment for a double-dot AB ring to verify the phase shift induced by Faraday's law. We show…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Kicheon Kang

The Aharonov-Bohm-Coulomb potentials in two dimensions may describe the interaction between two particles carrying electric charge and magnetic flux, say, Chern--Simons solitons, or so called anyons. The scattering problem for such two-body…

Quantum Physics · Physics 2008-11-26 Qiong-gui Lin

Quantum-mechanical scattering off a magnetic vortex is considered, and the optical theorem is derived. The vortex core is assumed to be impermeable to scattered particles, and its transverse size is taken into account. We show that the…

Quantum Physics · Physics 2011-07-15 Yu. A. Sitenko , N. D. Vlasii

The non-stationary Aharonov-Bohm effect (scattering of electron in the field of a narrow solenoid with alternating current) is considered. Using the eikonal approximation, the wave function of electron, the differential and total scattering…

Atomic Physics · Physics 2024-12-23 A. I. Milstein , I. S. Terekhov
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