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A quantum dot proposal for the implementation of topological quantum computation is presented. The coupling of the electron charge to an external magnetic field via the Aharonov-Bohm effect, combined with the control dynamics of a double…

Quantum Physics · Physics 2007-05-23 Roberta Rodriquez , Jiannis K. Pachos

We investigate the behavior of the quantized Hall conductivity in a two-dimensional quantum system under rotating effects, a uniform magnetic field, and an Aharonov-Bohm (AB) flux tube. By varying the angular velocity and the AB flux, we…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Carlos Magno O. Pereira , Luís Fernando C. Pereira , Denise Assafrão , Edilberto O. Silva

We study the influence of spin polarization on the degree of coherence of electron transport through interacting quantum dots. To this end, we identify transport regimes in which the degree of coherence can be related to the visibility of…

Mesoscale and Nanoscale Physics · Physics 2010-11-04 Bastian Hiltscher , Michele Governale , Jürgen König

We have performed time-dependent wave packet simulations of realistic Aharonov-Bohm (AB) devices with a quantum dot embedded in one of the arms of the interferometer. The AB ring can function as a measurement device for the intrinsic…

Mesoscale and Nanoscale Physics · Physics 2017-02-23 Christoph Kreisbeck , Tobias Kramer , Rafael A. Molina

The persistent currents driven by the pure Aharonov-Bohm type magnetic field in mesoscopic normal metal or semiconducting cylinders are studied. A two-dimensional (2D) Fermi surfaces are characterized by four parameters. Several conditions…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Stebelski , M. Szopa , E. Zipper

We have measured the flux dependence of both real and imaginary conductance of $GaAs/GaAlAs$ isolated mesoscopic rings at 310 MHz. The rings are coupled to a highly sensitive electromagnetic superconducting micro-resonator and lead to a…

Condensed Matter · Physics 2009-10-28 Bertrand Reulet , Michel Ramin , Helene Bouchiat , Dominique Mailly

We demonstrate quite generally how a conserved current can have an anomalous dimension. We show here that if the current in the normal state of the cuprates has an anomalous dimension, then the Aharonov-Bohm flux through a ring does not…

Strongly Correlated Electrons · Physics 2018-03-28 Kridsanaphong Limtragool , Philip W. Phillips

We study the Aharonov-Bohm (AB) effect in two-dimensional mesoscopic frame in hole systems. We show that differing from the AB effect in electron systems, due to the presence of both the heavy hole and the light hole, the conductances not…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Zhou , M. W. Wu , M. Q. Weng

The spectral properties of the Dirac Hamiltonian in the the Aharonov-Bohm potential are discussed. By using the Krein-Friedel formula, the density of states (DOS) for different self-adjoint extensions is calculated. As in the…

High Energy Physics - Theory · Physics 2009-10-28 Alexander Moroz

An apparent h/fe Aharonov-Bohm flux period, where f is an integer, has been reported in coherent quantum Hall devices. Such sub-period is not expected for non-interacting electrons and thus is thought to result from interelectron Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-09-19 Ping V. Lin , F. E. Camino , V. J. Goldman

In this paper we study the Macroscopic Quantum Oscillation (MQO) effect in ferromagnetic single domain magnets with a magnetic field applied along the hard anistropy axis. The level splitting for the ground state, derived with the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. P. Kou , J. Q. Liang , Y. B. Zhang , F. C. Pu

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 briefly review the theoretical formulations and applications of the Aharonov--Bohm effect and the Aharonov--Casher effect with emphasis on mesoscopic physics. Topics relating to the Aharonov--Bohm effect include: locality, periodicity,…

Mesoscale and Nanoscale Physics · Physics 2023-02-21 Y. Avishai , Y. B. Band

We use spin-density-functional theory within an envelope function approach to calculate electronic states in a GaAs/InAs core-shell nanowire pierced by an axial magnetic field. Our fully 3D quantum modeling includes explicitly the…

Mesoscale and Nanoscale Physics · Physics 2015-03-31 Miquel Royo , Carlos Segarra , Andrea Bertoni , Guido Goldoni , Josep Planelles

The Aharonov-Bohm scattering of charged particles by the magnetic field of an infinitely long and infinitely thin solenoid (magnetic string) in an absorbing medium is studied. We discuss the partial-wave approach to this problem and show…

Quantum Physics · Physics 2009-10-31 Juergen Audretsch , Vladimir Skarzhinsky

One of the key features of the Majorana bound states emerging in topological superconducting (SC) wires is increasing oscillations of their energy under the growth of magnetic field or chemical potential due to concomitant enhancement of…

Mesoscale and Nanoscale Physics · Physics 2022-04-25 S. V. Aksenov

We consider a charged quantum particle immersed in an axial magnetic field, comprising a local Aharonov-Bohm singularity and a regular perturbation. Quadratic form techniques are used to characterize different self-adjoint realizations of…

Mathematical Physics · Physics 2024-10-15 Davide Fermi

The interplay of geometrical and Andreev quantization in mesoscopic superconductors leads to giant mesoscopic oscillations of energy levels as functions of the Fermi momentum and/or sample size. Quantization rules are formulated for closed…

We have measured transport through mesoscopic Aharonov-Bohm (AB) rings with two different four-terminal configurations. While the amplitude and the phase of the AB oscillations are well explained within the framework of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kensuke Kobayashi , Hisashi Aikawa , Shingo Katsumoto , Yasuhiro Iye

A voltage bias applied to a conductor induces a change of the current noise with respect to the equilibrium noise known as excess noise. We analyze the excess noise of the electronic current flowing through a mesoscopic Aharonov-Bohm ring…

Mesoscale and Nanoscale Physics · Physics 2010-10-19 Fabrizio Dolcini , Hermann Grabert
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