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A thought experiment is proposed to demonstrate the existence of a gravitational, vector Aharonov-Bohm effect. A connection is made between the gravitational, vector Aharonov-Bohm effect and the principle of local gauge invariance for…

Aharonov-Bohm effect in a ferromagnetic thin ring in diffusive regime is theoretically studied by calculating the Cooperon and Diffuson. In addition to the spin-orbit interaction, we include the spin-wave excitation and the spin splitting,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gen Tatara , Hiroshi Kohno , edgar Bonet , Bernard Barbara

Aharonov-Bohm (AB) effect, the well-known archetype of electron-wave interference phenomena, has been explored extensively through transport measurements. However, these techniques lack spatial resolution that would be indispensable for…

Mesoscale and Nanoscale Physics · Physics 2021-02-02 Yi-Wen Liu , Ya-Ning Ren , Chen-Yue Hao , Lin He

We analyse the conductance of the Aharonov-Bohm one-dimensional quantum ring touching a quantum wire. It is shown that in accordance with experimental data the period of the AB oscillations strongly depends on the chemical potential and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 I. A. Shelykh , N. G. Galkin , N. T. Bagraev

We study electron transport through multiply-connected mesoscopic geometries containing interacting quantum dots. Our formulation covers both equilibrium and non-equilibrium physics. We discuss the relation of coherent transport channels…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jürgen König , Yuval Gefen

Tunneling conductance of an Aharonov-Bohm circuit including two quantum dots is calculated based on the general expression of the conductance in the linear response regime of the bias voltage. The calculation is performed in a wide…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Wataru Izumida , Osamu Sakai , Yukihiro Shimizu

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

Investigation of real two-dimensional systems with Dirac-like electronic behavior under the influence of magnetic field is challenging and leads to many interesting physical results. In this paper we study 2D graphene model with a…

Mesoscale and Nanoscale Physics · Physics 2016-10-11 E. A. Stepanov , V. Ch. Zhukovsky

We define two laterally gated small quantum dots (~ 15 electrons) in an Aharonov-Bohm geometry in which the coupling between the two dots can be broadly changed. For weakly coupled quantum dots we find Aharonov-Bohm oscillations. In an…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. W. Holleitner , C. R. Decker , K. Eberl , R. H. Blick

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 role of Aharonov-Bohm effect in quantum tunneling is examined when a potential is defined on the $S^1$ and has $N$-fold symmetry. We show that the low-lying energy levels split from the $N$-fold degenerate ground state oscillate as a…

Quantum Physics · Physics 2015-06-26 ChangSoo Park , D. K. Park

We address the question of how the Aharonov-Bohm flux $\Phi_{AB}$ can affect the energy levels of graphene magnetic quantum dots (GMQDs) of radius $R$. To answer this question, we consider GMQDs induced by a magnetic field $B$ and subjected…

Mesoscale and Nanoscale Physics · Physics 2024-05-31 Fatima Belokda , Ahmed Bouhlal , Ahmed Siari , Ahmed Jellal

We study electron decoherence by measuring the temperature dependence of Aharonov-Bohm (AB) oscillations in quasi-1D rings, etched in a high-mobility GaAs/GaAlAs heterostructure. The oscillation amplitude is influenced both by…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. E. Hansen , A. Kristensen , S. Pedersen , C. B. Sorensen , P. E. Lindelof

We investigate the properties of strongly correlated electronic models on a flux-threaded ring connected to semi-infinite free-electron leads. The interference pattern of such an Aharonov-Bohm ring shows sharp dips at certain flux values,…

Strongly Correlated Electrons · Physics 2009-11-10 K. Hallberg , A. A. Aligia , A. P. Kampf , B. Normand

Ever since its discovery, the electron spin has only been measured or manipulated through the application of an electromagnetic force acting on the associated magnetic moment. In this work, we propose a spin Aharonov-Bohm effect in which…

Mesoscale and Nanoscale Physics · Physics 2010-11-05 Joseph Maciejko , Eun-Ah Kim , Xiao-Liang Qi

We consider the Aharonov-Bohm (AB) effect on a confined electron ground state in a quantum ring defined electrostatically within the phosphorene monolayer. The strong anisotropy of effective masses in phosphorene quenches ground-state…

Mesoscale and Nanoscale Physics · Physics 2022-04-25 Tanmay Thakur , Bartlomiej Szafran

An experiment to observe the Aharonov-Bohm effect is discussed. A solenoid which consists of a large number of point magnetic dipoles is considered as the source of a vector potential, which acts on a charged particle, and such potential…

Quantum Physics · Physics 2021-10-19 V. Rubaev , L. Fedichkin

We show that an Aharonov-Bohm (AB) ring with asymmetric electron injection can act as a coherent detector of electron dephasing. The presence of a dephasing source in one of the two arms of a moderately-to-highly asymmetric ring changes the…

Mesoscale and Nanoscale Physics · Physics 2010-05-24 E. Strambini , L. Chirolli , V. Giovannetti , F. Taddei , R. Fazio , V. Piazza , F. Beltram

Taking into account the spin precession caused by the spin-orbit splitting of the conduction band in semiconductor quantum wells, we have calculated the Fourier spectra of conductance and state-density correlators in a 2D ring, in order to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. G. Mal'shukov , V. V. Shlyapin , K. A. Chao