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We show that transport and thermodynamic properties of \emph{singly-connected} disordered conductors exhibit quantum Aharonov - Bohm oscillations with the total magnetic flux through the system. The oscillations are associated with the…

Mesoscale and Nanoscale Physics · Physics 2015-03-05 I. L. Aleiner , A. V. Andreev , V. Vinokur

A small quantum ring with less than 10 electrons was studied by transport spectroscopy. For strong coupling to the leads a Kondo effect is observed and used to characterize the spin structure of the system in a wide range of magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. F. Keyser , C. Fuhner , S. Borck , R. J. Haug , M. Bichler , G. Abstreiter , W. Wegscheider

We show that in the absence of a magnetic field the spectrum of the magnetic Schr\"odinger operator in an annulus depends on the cosine of the flux associated with the magnetic potential. This result follows from an analysis of a…

Mathematical Physics · Physics 2016-01-20 Gregory Eskin , James Ralston

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

A new classical electromagnetic analysis is presented suggesting that the Aharonov-Bohm phase shift is overwhelmingly likely to arise from a classical lag effect based upon classical electromagnetic forces. The analysis makes use of several…

Classical Physics · Physics 2014-08-27 Timothy H. Boyer

The Aharonov-Bohm scattering amplitude is calculated in the context of planar gravity with localized sources which also carry a magnetic flux. These sources cause space-time to develop conical singularities at their location, thus…

General Physics · Physics 2009-10-31 Marcos Alvarez

The problem of the relation between the Ahronov-Bohm effect and traditional postulates of electrodynamics, which claim that only electric and magnetic fields are observable, is resolved by denial of the statement about validity of the…

Quantum Physics · Physics 2013-07-01 V. B. Bobrov , S. A. Trigger , G. J. F. van Heijst , P. P. J. M. Schram

Decades ago, Aharonov and Bohm showed that electrons are affected by electromagnetic potentials in the absence of forces due to fields. Zeilinger's theorem describes this absence of classical force in quantum terms as the "dispersionless"…

Quantum Physics · Physics 2019-08-16 Maria Becker , Giulio Guzzinati , Béché Armand , Johan Verbeeck , Herman Batelaan

In some textbooks on quantum mechanics, the description of flux quantization in a superconductor ring based on the Aharonov-Bohm effect may lead some readers to a (wrong) conclusion that flux quantization occurs as well for a long solenoid…

Quantum Physics · Physics 2009-01-14 F. Darabi

The effect of time-varying electromagnetic fields on electron coherence is investigated. A sinusoidal electromagnetic field produces a time varying Aharonov-Bohm phase. In a measurement of the interference pattern which averages over this…

Quantum Physics · Physics 2009-11-10 Jen-Tsung Hsiang , L. H. Ford

We investigate the dynamics of charge--states coherence in a degenerate double--dot Aharonov--Bohm interferometer with finite interdot Coulomb interactions. The quantum coherence of the charge states is found to be sensitive to the…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Jinshuang Jin , Shikuan Wang , Jiahuan Zhou , Wei-Min Zhang , YiJing Yan

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

In the context of the vacuum polarization effect, we consider the backreaction of the energy-momentum tensor of a charged scalar field on the background metric of a cosmic string carrying a magnetic flux $\Phi$. Working within the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 M. E. X. Guimaraes

We study the Aharonov-Bohm effect under the conditions of the Tonomura et al. experiments, that gave a strong evidence of the physical existence of the Aharonov-Bohm effect, and we give the first rigorous proof that the classical Ansatz of…

Mathematical Physics · Physics 2010-01-06 Miguel Ballesteros , Ricardo Weder

Gauge theories arise in physical systems displaying space-time local symmetries. They provide a powerful description of important realms of physics ranging from fundamental interactions, to statistical mechanics, condensed matter and more…

Quantum Gases · Physics 2025-11-04 Enrico C. Domanti , Paolo Castorina , Dario Zappalà , Luigi Amico

The shift in Aharanov-Bohm electron-interference fringe positions has been previously derived as resulting from phase differences induced by the magnetic vector potential, without being clear on the physical mechanism behind it. In this…

Quantum Physics · Physics 2019-12-05 Keith J. Kasunic

Photons are neutral particles that do not interact directly with a magnetic field. However, recent theoretical work has shown that an effective magnetic field for photons can exist if the phase of light would change with its propagating…

Unlike charge, heat flows are difficult to control. We show that, in mesoscopic conductors, electronic thermal currents can be manipulated with a magnetic field by using the Aharonov-Bohm effect: the magnetic control of the interference…

Mesoscale and Nanoscale Physics · Physics 2024-09-09 José Balduque , Adrián Mecha , Rafael Sánchez

The flux as measured by the Josephson effect in a SQUID-like configuration with a ferromagnetic core inserted into its center, is shown to be sensitive to the vector potential arising from the central ferromagnetic core, even when the core…

Quantum Physics · Physics 2012-06-26 R. Y. Chiao

Quantum tunnelling is a common fundamental quantum-mechanical phenomenon that originates from the wave-like characteristics of quantum particles. Although the quantum-tunnelling effect was first observed 85 years ago, some questions…

Quantum Physics · Physics 2015-06-10 Atshushi Noguchi , Yutaka Shikano , Kenji Toyoda , Shinji Urabe
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