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We have investigated the Aharonov-Bohm effect in a one-dimensional GaAs/GaAlAs ring at low magnetic fields. The oscillatory magnetoconductance of these systems are for the first time systematically studied as a function of density. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Pedersen , A. E. Hansen , A. Kristensen , C. B. Soerensen , P. E. Lindelof

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…

We report on a magneto-photoluminescence study of isotopically pure 70Ge/Si self-assembled type-II quantum dots. Oscillatory behaviors attributed to the Aharonov-Bohm effect are simultaneously observed for the emission energy and intensity…

We consider the currents flowing in a solid-state interferometer under the effect of both an Aharonov-Bohm phase and a bias potential. Expressions are obtained for these currents, allowing for electronic or electron-boson interactions,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 O. Entin-Wohlman , Y. Imry , A. Aharony

Although there is no force on the electron in Aharonov-Bohm solenoid effect, the electron exerts a force on the solenoid related to the inequality of action and reaction forces of two subsystems in three-system configuration. The AB phase…

Quantum Physics · Physics 2009-11-30 Y. Ben-Aryeh

Materials with the mesoscopic scales have provided an excellent platform for quantum-mechanical studies. Among them, the periodic oscillations of the electrical resistivity against the direct and the inverse of the magnetic fields, such as…

Mesoscale and Nanoscale Physics · Physics 2023-07-31 Toshihiro Taen , Andhika Kiswandhi , Toshihito Osada

We have investigated the Aharonov-Bohm effect in mesoscopic semiconductor GaAs/GaAlAs rings in low magnetic fields. The oscillatory magnetoconductance of these systems is systematically studied as a function of electron density. We observe…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. E. Hansen , S. Pedersen , A. Kristensen , C. B. Sorensen , P. E. Lindelof

We discuss the Aharonov-Bohm effect in the presence of hidden photons kinetically mixed with the ordinary electromagnetic photons. The hidden photon field causes a slight phase shift in the observable interference pattern. It is then shown…

High Energy Physics - Phenomenology · Physics 2016-07-20 Paola Arias , Christian Diaz , Marco Aurelio Diaz , Joerg Jaeckel , Benjamin Koch , Javier Redondo

Aharonov-Bohm effect is a quantum mechanical phenomenon that attracted the attention of many physicists and mathematicians since the publication of the seminal paper of Aharonov and Bohm [1] in 1959. We consider different types of…

Mathematical Physics · Physics 2015-06-24 Gregory Eskin

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

We present a simple model of transmission across a metallic mesoscopic ring. In one of its arm an electron interacts with a single magnetic impurity via an exchange coupling. We show that entanglement between electron and spin impurity…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. M. Jayannavar

The Aharonov-Bohm effect including spin-noncommutative effects is considered. At linear order in $\theta$, the magnetic field is gauge invariant although spatially strongly anisotropic. Despite this anisotropy, the Schr\"odinger-Pauli…

High Energy Physics - Theory · Physics 2011-08-12 A. Das , H. Falomir , J. Gamboa , F. Mendez , M. Nieto

A novel conductance oscillation in a twisted quantum ring composed of a helical atomic configuration is theoretically predicted. Internal torsion of the ring is found to cause a quantum phase shift in the wavefunction that describes the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Hisao Taira , Hiroyuki Shima

We investigate a Hamiltonian with radial potential wells and an Aharonov-Bohm vector potential with two poles. Assuming that the potential wells are symmetric, we derive the semi-classical asymptotics of the splitting between the ground and…

Spectral Theory · Mathematics 2024-07-24 Bernard Helffer , Ayman Kachmar

We investigate the gravitational Aharonov-Bohm effect, by placing a quantum system in free-fall around a gravitating body {\it e.g.} a satellite orbiting the Earth. Since the system is in free-fall, by the equivalence principle, the quantum…

General Relativity and Quantum Cosmology · Physics 2024-03-27 RY Chiao , NA Inan , M Scheibner , J Sharping , DA Singleton , ME Tobar

We consider observation of Aharonov-Bohm oscillations in clean systems based on the flow of topologically protected currents in silicene and bilayer graphene. The chiral channels in these materials are defined by the flips of the vertical…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Bartłomiej Rzeszotarski , Alina Mreńca-Kolasińska , Bartłomiej Szafran

Gaussian linking of a semiclassical path of a charged particle with a magnetic flux tube is responsible for the Aharonov-Bohm effect, where one observes interference proportional to the magnitude of the enclosed flux. We construct quantum…

High Energy Physics - Theory · Physics 2008-11-26 Roman V. Buniy , Thomas W. Kephart

Orbital diamagnetism requires closed orbits according to the Liftshiftz-Kosevich theory. Therefore, one might expect that open Fermi surfaces do not have a diamagnetic response. Contrary to this expectation, we show that open orbits in…

Mesoscale and Nanoscale Physics · Physics 2023-03-09 Kostas Vilkelis , Ady Stern , Anton Akhmerov

A quantum particle interacting with a thin solenoid and a magnetic flux is described by a five-parameter family of Hamilton operators, obtained via the method of self-adjoint extensions. One of the parameters, the value of the flux,…

Mathematical Physics · Physics 2015-06-26 L. Dabrowski , P. Stovicek

In this Comment it is shown that it cannot be argued that in the magnetic AB effect there is no force acting on the particle, i.e., that the observed phase shift is entirely due to nonzero vector potential. In stationary resistive…

Quantum Physics · Physics 2014-07-21 Tomislav Ivezic