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The Aharonov-Bohm effect is a quantum mechanical phenomenon that demonstrates how potentials can have observable effects even when the classical fields associated with those potentials are absent. Initially proposed for electromagnetic…

Quantum Physics · Physics 2024-09-05 Michael E Tobar , Michael T Hatzon , Graeme R Flower , Maxim Goryachev

We study the effect of an electric charge in the middle of a ring of electrons in a magnetic field such as $\nu = 1/2$. In the absence of the central charge, a residual current should appear due to an Aharanov-Bohm effect. As the charge…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 R. Mélin , B. Doucot

We theoretically analyze the effect of electron-electron interactions on Aharonov-Bohm (AB) current oscillations in ring-shaped systems with metallic quantum dots pierced by external magnetic field. We demonstrate that electron-electron…

Mesoscale and Nanoscale Physics · Physics 2009-04-21 Andrew G. Semenov , Dmitri S. Golubev , Andrei D. Zaikin

The scattering of electrons with inhomogeneities produces modulations in the local density of states of a metal. We show that electron interference contributions to these modulations are affected by the magnetic field via the Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 A. Cano , I. Paul

Optical rectification of intense, circularly polarized light penetrating a material generates a static magnetic field aligned with the light's direction and proportional to its intensity. Recent experiments have unveiled a substantial,…

Optics · Physics 2023-10-16 R. Merlin

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

We investigate the persistent currents and magnetization of a mesoscopic system consisting of two clean metallic rings sharing a single contact point in a magnetic field. Many novel features with respect to the single-ring geometry are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Y. Avishai , J. M. Luck

We investigate experimentally transport through ring-shaped devices etched in graphene and observe clear Aharonov-Bohm conductance oscillations. The temperature dependence of the oscillation amplitude indicates that below 1 K the phase…

This is a numerical study of the conductance of an Aharonov-Bohm interferometer in a tight-binding model of graphene. Two single-mode ballistic point contacts with zigzag edges are connected by two arms of a hexagonal ring enclosing a…

Mesoscale and Nanoscale Physics · Physics 2007-09-24 A. Rycerz , C. W. J. Beenakker

The magnetic Aharonov-Bohm effect shows that charged particles may be affected by the vector potential in regions without any electric or magnetic fields [1]. The Aharonov-Bohm effect was experimentally confirmed [2-3] and has been found in…

Classical Physics · Physics 2022-01-31 Gaobiao Xiao

The Aharonov-Bohm effect is a physical phenomenon in which the quantum state of a charged particle acquires a phase shift that is directly proportional to the magnetic flux, $\Phi$, due to a (classical) magnetic field, ${\mathbf B}$, which…

Quantum Physics · Physics 2026-04-09 Manvendra Somvanshi , D. Jaffino Stargen

Using extensive tight-binding calculations, we investigate (including the spin) the Aharonov-Bohm (AB) effect in monolayer and bilayer trigonal and hexagonal graphene rings with zigzag boundary conditions. Unlike the previous literature, we…

Mesoscale and Nanoscale Physics · Physics 2012-04-19 Igor Romanovsky , Constantine Yannouleas , Uzi Landman

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

We study the spin-dependent magneto conductance in mesoscopic rings subject to an inhomogeneous in-plane magnetic field. We show that the polarization direction of transmitted spin-polarized electrons can be controlled via an additional…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Diego Frustaglia , Martina Hentschel , Klaus Richter

Electron transport through mesoscopic, one-dimensional rings with asymmetric injection into the arms of the ring is studied, in the presence of a Aharonov-Bohm flux, by means of an appropriate $\boldsymbol{S}$ matrix. This matrix is…

Mesoscale and Nanoscale Physics · Physics 2015-11-23 P. Vasilopoulos , O. Kálmán , F. M. Peeters , M. G. Benedict

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

The time dependent Schr\"odinger equation for an electron passing through a semiconductor quantum ring of nonzero width is solved in the presence of a perpendicular homogenous magnetic field. We study the effects of the Lorentz force on the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Szafran , F. M. Peeters

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…

The Aharonov-Bohm (AB) effect is a pure quantum effect that implies a measurable phase shift in the wave function for a charged particle that encircles a magnetic flux located in a region \textit{inaccessible} to the particle. Classically,…

Quantum Physics · Physics 2022-09-23 Xiang Li , Thors Hans Hansson , Wei Ku

We analytically calculate the spin-dependent electronic conductance through a one-dimensional ballistic ring in the presence of an inhomogeneous magnetic field and identify signatures of geometric and Berry phases in the general…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Martina Hentschel , Henning Schomerus , Diego Frustaglia , Klaus Richter