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Related papers: Aharonov-Bohm Effect vs. Dirac Monopole: A-B <=> D

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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 compute the magnetic response of hollow semimetal cylinders and rings to the presence of an axial Aharonov-Bohm magnetic flux, in the absence of interactions. We predict nullification of the Aharonov-Bohm effect for a class of dispersion…

Mesoscale and Nanoscale Physics · Physics 2025-03-03 Eugene B. Kolomeisky , Joseph P. Straley

The linear diamond chain with fine-tuned effective magnetic flux has a completely flat energy spectrum and compactly-localized eigenmodes, forming an Aharonov-Bohm cage. We study numerically how this localization is affected by different…

Optics · Physics 2020-03-04 Goran Gligorić , Daniel Leykam , Aleksandra Maluckov

It is shown that a strong system of vector fields on a fiber bundle in the sense of [Modugno, M. Systems of connections and invariant lagrangians. In: Differential geometric methods in theoretical physics, Proc. 15th Int. Conf., DGM,…

Differential Geometry · Mathematics 2016-09-06 Peter W. Michor

This is an analytical study of magnetic fields effects on the conductance, the shot noise power, and the third charge-transfer cumulant for Aharonov-Bohm rings and Corbino disks in graphene. The two distinct physical mechanisms lead to very…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Adam Rycerz

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

The Aharonov-Bohm effect allows one to demonstrate the physical meaningfulness of magnetic vector potential by passing the current in zero magnetic field regions. In the standard (a {\em two-slit-like}) setup a conducting ring is pierced by…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 Adam Rycerz , Dominik Suszalski

We study a field--theoretical analogue of the Aharonov--Bohm effect in the Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the Abrikosov--Nielsen--Olesen string world sheets and the…

High Energy Physics - Theory · Physics 2008-02-03 M. N. Chernodub , M. I. Polikarpov

We study the dependence of the entanglement entropy with a magnetic flux, and show that the former quantity witnesses an Aharonov Bohm-like effect. In particular, we consider free charged scalar and Dirac fields living on a two dimensional…

High Energy Physics - Theory · Physics 2015-03-23 Raúl E. Arias , David D. Blanco , Horacio Casini

This paper has been heavily revised, the final results now being contained in hep-ph/9311202 and hep-ph/9311203.

High Energy Physics - Theory · Physics 2008-02-03 A. C. Davis , A. P. Martin

This work analyzes the effects of shielding on the Aharonov-Bohm scattering of electrons endowed with spin. The interaction of polarized electrons with bare and shielded magnetic strings is studied with the aid of the Dirac equation. It is…

Quantum Physics · Physics 2007-05-23 Silviu Olariu

One intriguing fingerprint of surface states in topological insulators is the Aharonov-Bohm effect in magnetoconductivity of nanowires. We show that surface states in nanowires of Dirac materials (bismuth, bismuth antimony, and lead tin…

Mesoscale and Nanoscale Physics · Physics 2017-03-10 V. V. Enaldiev , V. A. Volkov

The Dirac quantization procedure of a magnetic monopole can be used to derive the coefficient of the D=3 Chern-Simons term through a self-consistency argument, which can be readily generalized to any odd D. This yields consistent and…

High Energy Physics - Theory · Physics 2009-07-14 Christopher T. Hill

The perturbation theory expansion of the Aharonov-Bohm scattering amplitude has previously been studied in the context of quantum mechanics for spin zero and spin-1/2 particles as well in Galilean covariant field theory. This problem is…

High Energy Physics - Theory · Physics 2016-09-06 C. R. Hagen

Recent works showed that the Aharonov-Bohm (AB) phase difference for a quantum charged particle can be written in terms of electric and magnetic fluxes in a spacetime surface whose boundaries are the possible particle worldlines in the…

Quantum Physics · Physics 2025-12-18 Hiram S. M. Rodrigues , Katson W. O. Arévola , Pablo L. Saldanha

The paper contains a review on the general connection theory on differentiable fibre bundles. Particular attention is paid to (linear) connections on vector bundles. The (local) representations of connections in frames adapted to holonomic…

Mathematical Physics · Physics 2007-05-23 Bozhidar Z. Iliev

Aharonov-Bohm oscillations are studied in the magnetoconductance of a micron-sized open quantum ring coupled capacitively to a Coulomb-blockaded quantum dot. As the plunger gate of the dot is modulated and tuned through a conductance…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 L. Meier , A. Fuhrer , T. Ihn , K. Ensslin , W. Wegscheider , M. Bichler

We study the problem of a Dirac field in the background of an Aharonov-Bohm flux string. We exclude the origin by imposing spectral boundary conditions at a finite radius then shrinked to zero. Thus, we obtain a behaviour of eigenfunctions…

High Energy Physics - Theory · Physics 2009-10-31 C. G. Beneventano , M. De Francia , E. M. Santangelo

We investigate on the plane the axial anomaly for euclidean Dirac fermions in the presence of a background Aharonov--Bohm gauge potential. The non perturbative analysis depends on the self--adjoint extensions of the Dirac operator and the…

High Energy Physics - Theory · Physics 2009-10-28 P. Giacconi , S. Ouvry , R. Soldati

We study the analogy between propagation of light rays in a stationary curved spacetime and in a toroidal (meta-)material. After introducing a novel gravitational analog of the index of refraction of a magneto-electric medium, it is argued…

General Relativity and Quantum Cosmology · Physics 2020-05-08 A. Besharat , M. Miri , M. Nouri-Zonoz