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Using time-dependent Ginzburg-Landau theory we demonstrate that the Aharonov-Bohm (AB) effect, resulting from a Berry phase shift of the (macroscopic) wavefunction, is revealed through the dynamics of topological phase defects present in…

Superconductivity · Physics 2012-11-15 V. N. Gladilin , J. Tempere , J. T. Devreese , V. V. Moshchalkov

In 1959 Aharonov and Bohm suggested that an electron passing around a long solenoid would pick up a phase shift dependent on the magnetic field of the solenoid, even though the electrons themselves pass through a region of space which has a…

Quantum Physics · Physics 2011-04-11 Heidi Fearn , Khai Nguyen

This paper investigates a geometric framework for the gravitational Aharonov-Bohm effect in four-dimensional spacetime, demonstrating how spacetime curvature induces nonlocal quantum phase shifts within field-free regions. By constructing…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Yanhui Li , Yakefu Reyimuaji

The magnetic field due to the photon rest mass $m_{ph}$ modifies the standard results of the Aharonov-Bohm effect for electrons, and of other recent quantum effects. For the effect involving a coherent superposition of beams of particles…

Quantum Physics · Physics 2009-11-13 G. Spavieri , M. Rodriguez

The effect of an Aharonov-Bohm (AB) pseudo magnetic field on a two dimensional electron gas in graphene is investigated. We consider it modeled as in the usual AB effect but since such pseudo field is supposed to be induced by elastic…

Mesoscale and Nanoscale Physics · Physics 2016-11-01 Cleverson Filgueiras , Rosinildo Fidelis , Diego Cogollo , Edilberto O. Silva

Marletto and Vedral [Phys. Rev. Lett. 125, 040401 (2020)] propose that the Aharonov-Bohm (AB) phase is locally mediated by entanglement between a charged particle and the quantized electromagnetic field, asserting gauge independence for…

Quantum Physics · Physics 2026-01-27 Shan Gao

Tensor-scalar theories of gravitation are commonly employed as extensions of General Relativity that allow to describe a much wider phenomenology. They are also naturally generated as low energy limit of higher-dimensional or unified…

General Physics · Physics 2025-12-09 F. Minotti , G. Modanese

We predict the force-free scalar Aharonov-Bohm effect of a Cooper pair box in an electric field at a distance without forming a closed path of the interfering charges. The superposition of different charge states plays a major role in…

Mesoscale and Nanoscale Physics · Physics 2018-11-02 Young-Wan Kim , Kicheon Kang

It is commonly believed that the Aharonov-Bohm (AB) effect is a typical feature of the motion of a charged particle interacting with the electromagnetic vector potential. Here we present a magnetophotoluminescence study of type-II InP/GaAs…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Ribeiro , G. Medeiros-Ribeiro , W. Carvalho , A. O. Govorov

The `extended Aharonov-Bohm (AB) period' recently proposed by Kusakabe and Aoki [J. Phys. Soc. Jpn (65), 2772 (1996)] is extensively studied numerically for finite size systems of strongly correlated electrons. While the extended AB period…

Condensed Matter · Physics 2009-10-28 Ryotaro Arita , Koichi Kusakabe , Kazuhiko Kuroki , Hideo Aoki

The adiabatic Aharonov-Bohm (AB) effect is a manifestation of the Berry phase acquired when some slow variables take a planar spin around a loop. While the effect has been observed in molecular spectroscopy, direct measurement of the…

Quantum Physics · Physics 2015-11-16 Erik Sjöqvist , Martin Almquist , Ken Mattsson , Zeynep Nilhan Gürkan , Björn Hessmo

The analysis of the gauge principle as a mere passive symmetry requirement leads to the conclusion that the connection term in the covariant derivative is flat and that local phase transformations are without any empirical significance in…

High Energy Physics - Theory · Physics 2007-05-23 Holger Lyre

We consider the application of the Fluctuation Dissipation Theorem (FDT) to the electrodynamics of Aharonov-Bohm (ABE), which differs from Maxwell's in that it allows for local non-conservation of charge. For the case of a system of…

General Physics · Physics 2026-04-20 F. Minotti , G. Modanese

I address the view that the classical electromagnetic potentials are shown by the Aharonov-Bohm effect to be physically real (which I dub: 'the potentials view'). I give a historico-philosophical presentation of this view and assess its…

Quantum Physics · Physics 2021-04-28 Ruward A. Mulder

By applying an electric field perpendicular to a semiconductor quantum ring we show that it is possible to modify the single particle wave function between quantum dot (QD)-like to ring-like. The constraints on the geometrical parameters of…

Mesoscale and Nanoscale Physics · Physics 2012-04-17 Bin Li , F. M. Peeters

The magnetic Aharonov-Bohm (A-B) effect occurs when a point charge interacts with a line of magnetic flux, while its dual, the Aharonov-Casher (A-C) effect, occurs when a magnetic moment interacts with a line of charge. For the two…

Quantum Physics · Physics 2015-06-05 Scot McGregor , Ryan Hotovy , Adam Caprez , Herman Batelaan

Classical electrodynamics foresees that the effective interaction force between a moving charge and a magnetic dipole is modified by the time-varying total momentum of the interaction fields. We derive the equations of motion of the…

Classical Physics · Physics 2021-05-26 Gianfranco Spavieri , George T. Gillies , Miguel E. Rodriguez , Maribel Peréz Pirela

Aharonov-Bohm (AB) caging is the localization effect in translational-invariant lattices due to destructive interference induced by penetrated magnetic fields. While current research focuses mainly on the case of Abelian AB caging, here we…

Quantum Physics · Physics 2020-08-26 Sheng Li , Zheng-Yuan Xue , Ming Gong , Yong Hu

The long-standing controversy regarding the Aharonov-Bohm phase shift is reviewed. The shifts of both optical and particle interference patterns are summarized. It is pointed out that a line of electric dipoles and a line of magnetic…

Atomic Physics · Physics 2009-11-13 Timothy H. Boyer

The Aharonov-Bohm effect is a physical phenomenon where the vector potential induces a phase shift of electron wavepackets in regions with zero magnetic fields. It is often referred to as evidence for the physical reality of the vector…

Mesoscale and Nanoscale Physics · Physics 2025-06-26 Francesco Di Colandrea , Nazanin Dehghan , Filippo Cardano , Alessio D'Errico , Ebrahim Karimi
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