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We establish systematic consolidation of the Aharonov-Bohm and Aharonov-Casher effects including their scalar counterparts. Their formal correspondences in acquiring topological phases are revealed on the basis of the gauge symmetry in…

Quantum Physics · Physics 2009-11-10 Minchul Lee , M. Y. Choi

We discuss the Aharonov--Bohm effect in three and four dimensional non--compact lattice Abelian Higgs model. We show analytically that this effect leads to the long--range Coulomb interaction of the charged particles, which is confining in…

High Energy Physics - Lattice · Physics 2007-05-23 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov

In this paper, We analyze a spin-zero relativistic quantum oscillator in the presence of the Aharonov-Bohm (AB) magnetic flux in a space-time background produced by a point-like global monopole (PGM). Afterward, we introduce a static…

High Energy Physics - Theory · Physics 2022-05-26 Faizuddin Ahmed

Aharonov-Bohm (AB) caging is the complete wavefunction localization effect in translational-invariant lattices induced by destructive phase interference. These phases originate from the gauge fields such as the penetrated magnetic fields,…

Quantum Physics · Physics 2026-05-25 Le-Chuan Wang , Sai Li , Jia Liu , Zheng-Yuan Xue

The electronic states and optical transitions of a ZnO quantum ring containing few interacting electrons in an applied magnetic field are found to be very different from those in a conventional semiconductor system, such as a GaAs ring. The…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Tapash Chakraborty , Aram Manaselyan , Manuk Barseghyan

To study the manifestation of the Aharonov-Bohm effect in many-body systems we consider the statistical mechanics of the Gross-Neveu model on a ring (1+1 dimensions) and on a cylinder (2+1 dimensions) with a thin solenoid coinciding with…

Condensed Matter · Physics 2007-05-23 Suzhou Huang , Bernd Schreiber

The Schrodinger formalism of quantum mechanics is used to demonstrate the existence of the Aharonov-Bohm effect in momentum space and set-ups for experimentally demonstrating it are proposed for either free or ballistic electrons.

Quantum Physics · Physics 2007-05-23 D. Dragoman , S. Bogdan

Aharonov-Bohm (AB) effect, the well-known archetype of electron-wave interference phenomena, has been explored extensively through transport measurements. However, these techniques lack spatial resolution that would be indispensable for…

Mesoscale and Nanoscale Physics · Physics 2021-02-02 Yi-Wen Liu , Ya-Ning Ren , Chen-Yue Hao , Lin He

We propose a quantitative test of the quantum nonlocality in the electromagnetic interaction that generates the Aharonov-Bohm effect. For this purpose, we derive an interaction Lagrangian based on the local action of gauge-invariant…

Quantum Physics · Physics 2025-06-11 Kicheon Kang

We define a mesoscopic ring in a 2-dimensional electron gas (2DEG) interrupted by two tunnel barriers, enabling us to apply a well-defined potential difference between the two halves of the ring. The electron interference in the ring is…

When the magnetic vector potential is expressed in terms of the magnetic field it, is found to be explicitly non-local in space. This gives support to the conclusions of Aharonov et al. in a recent comment, that the Aharonov-Bohm effect may…

Quantum Physics · Physics 2016-05-19 A M Stewart

Generalized solutions of the standard gauge transformation equations are presented and discussed in physical terms. They go beyond the usual Dirac phase factors and they exhibit nonlocal quantal behavior, with the well-known Relativistic…

Quantum Physics · Physics 2015-05-28 Konstantinos Moulopoulos

Signs of hypothetical light gauge bosons from a hidden sector may appear in Aharonov-Bohm-like experiments. The absence of signal in carried on experiments allow us to set a modest constraint to the mass and coupling constant of these…

High Energy Physics - Phenomenology · Physics 2013-09-18 Paola Arias

The Aharonov-Casher (AC) effect in non-commutative(NC) quantum mechanics is studied. Instead of using the star product method, we use a generalization of Bopp's shift method. After solving the Dirac equations both on noncommutative space…

High Energy Physics - Theory · Physics 2008-11-26 Kang Li , Jianhua Wang

This work presents theoretical demonstration of Aharonov-Bohm (AB) effect in monolayer phosphorene nanorings (PNR). Atomistic quantum transport simulations of PNR are employed to investigate the impact of multiple modulation sources on the…

Mesoscale and Nanoscale Physics · Physics 2017-05-16 Rui Zhang , Zhenhua Wu , Xiaojing Li , Kai Chang

By considering gauge transformations on the macroscopic Maxwell's equations, a two dimensional gauge field, with its pseudo magnetic field in the real space, is identified as tilted anisotropy in the constitutive parameters. We show that…

Optics · Physics 2015-08-05 Fu Liu , Jensen Li

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 (A-B) effect has been a major focus of the foundations of physics. And yet, much confusion persists. In particular, the effect purportedly leads to a dilemma: on one horn, we have a non-local action of a gauge-invariant…

History and Philosophy of Physics · Physics 2025-09-25 Henrique Gomes

The gap oscillations caused by a magnetic flux penetrating a carbon nanotube represent one of the most spectacular observation of the Aharonov-Bohm effect at the nano--scale. Our understanding of this effect is, however, based on the…

Mesoscale and Nanoscale Physics · Physics 2012-06-04 Davide Sangalli , Andrea Marini

Generalized solutions of the standard gauge transformation equations are presented and discussed in physical terms. They go beyond the usual Dirac phase factors and they exhibit nonlocal quantal behavior, with the well-known Relativistic…

Mesoscale and Nanoscale Physics · Physics 2011-09-09 Konstantinos Moulopoulos