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Quantum tunneling of an electron through a classically forbidden regime has no classical analogue and several aspects of it are still not well understood. In this work we analyze electronic currents under the barrier. For this we consider a…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 Sreemoyee Mukherjee , P. Singha Deo , A. M. Jayannavar

The Schrodinger formalism of quantum mechanics is used to demonstrate the existence of the Aharonov-Bohm effect in momentum space and set-ups for experimentally demonstrating it are proposed for either free or ballistic electrons.

Quantum Physics · Physics 2007-05-23 D. Dragoman , S. Bogdan

A detailed description of the tunneling processes within Aharonov-Bohm (AB) rings containing two-dimensional quantum dots is presented. We show that the electronic propagation through the interferometer is controlled by the spectral…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. Moldoveanu , M. Ţolea , A. Aldea , B. Tanatar

We study the effects of the RKKY interaction between magnetic impurities on the mesoscopic conductance fluctuations of a metal ring with dilute magnetic impurities. At sufficiently low temperatures and strong magnetic fields, the loss of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Victor Galitski , M. G. Vavilov , L. I. Glazman

We present a unified treatment of the Aharonov--Bohm (AB) effect for two-dimensional multiband electronic systems possessing isotropic band structures. We propose an integral representation of the AB scattering state of an electron…

Mesoscale and Nanoscale Physics · Physics 2023-02-17 Róbert Németh , József Cserti

In the present work we explore electron transport properties through a quantum interferometer attached symmetrically to two one-dimensional semi-infinite metallic electrodes, namely, source and drain. The interferometer is made up of two…

Mesoscale and Nanoscale Physics · Physics 2010-05-03 Santanu K. Maiti

Mechanical displacements of a nanoelectromechanical system (NEMS) shift the electron trajectories and hence perturb phase coherent charge transport through the device. We show theoretically that in the presence of a magnetic feld such…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. I. Shekhter , L. Y. Gorelik , L. I. Glazman , M. Jonson

A characterization of the two-terminal open-ring Aharonov-Bohm interferometer is made by analyzing the phase space plots in the complex transmission amplitude plane. Two types of plots are considered: type I plot which uses the magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. V. Amaresh Kumar , Debendranath Sahoo

The Aharonov-Bohm effect is a fundamental topological phenomenon with a wide range of applications. It consists of a charge encircling a region with a magnetic flux in a superposition of wave packets having their relative phase affected by…

Quantum Physics · Physics 2023-03-17 Ismael L. Paiva , Pedro R. Dieguez , Renato M. Angelo , Eliahu Cohen

We present an analysis of the Aharonov-Bohm oscillations for a mesoscopic ring with a quantum dot inserted in one of its arms. It is shown that microreversibility demands that the phase of the Aharonov-Bohm oscillations changes {\it…

Condensed Matter · Physics 2009-10-28 A. Levy Yeyati , M. Buttiker

The influence of high magnetic fields on coherent transport is investigated. A monolayer graphene quantum ring is fabricated and the Aharonov-Bohm effect is observed. For increased magnitude of the magnetic field higher harmonics appear.…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Dmitri Smirnov , Johannes C. Rode , Rolf J. Haug

We consider the magnetic flux in a quantum mechanical superposition of two values and find that the Aharonov-Bohm effect interference pattern contains information about the nature of the superposition, allowing information about the state…

Quantum Physics · Physics 2014-02-12 Kaća Bradonjić , John D. Swain

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

Electron transport in a two-terminal Aharonov-Bohm ring with a few short-range scatterers is investigated. An analytical expression for the conductance as a function of the electron Fermi energy and magnetic flux is obtained using the…

Mesoscale and Nanoscale Physics · Physics 2012-07-31 M. A. Kokoreva , V. A. Margulis , M. A. Pyataev

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

We study the persistent currents induced by the Aharonov-Bohm effect in a closed ring which either embeds or is directly side coupled to a quantum dot at Kondo resonance. We predict that in both cases, the persistent current is very…

Strongly Correlated Electrons · Physics 2009-11-07 P. Simon , I. Affleck

The quantum density of states of the H\'enon-Heiles potential displays a pronounced beating pattern. This has been explained by the interference of three isolated classical periodic orbits with nearby actions and periods. A singular…

chao-dyn · Physics 2008-02-03 M. Brack , R. K. Bhaduri , J. Law , Ch. Maier , M. V. N. Murthy

The consequences of microreversibility for the linear and nonlinear transport properties of systems subjected to external magnetic fields are systematically investigated in Aharonov-Bohm rings connected to two, three, and four terminals.…

Statistical Mechanics · Physics 2020-09-09 M. Barbier , P. Gaspard

A quantum antidot, a submicron depletion region in a two-dimensional electron system, has been actively studied in the past two decades, providing a powerful tool for understanding quantum Hall systems. In a perpendicular magnetic field,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. -S. Sim , M. Kataoka , C. J. B. Ford

Electronic states and the Aharonov-Bohm effect in ZnO quantum dot-ring nanostructures containing few interacting electrons reveal several unique features. We have shown here that in contrast to the dot-rings made of conventional…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Tapash Chakraborty , Aram Manaselyan , Manuk Barseghyan