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We investigate the quantum transport dynamics of electrons in a multi-path Aharonov-Bohm interferometer comprising several parallel graphene nanoribbons. At low magnetic field strengths, the conductance displays a complex oscillatory…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 Cynthia I. Osuala , Zitao Tang , Stefan Strauf , Eui-Hyeok Yang , Chunlei Qu

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

Interferometry is a vital tool for studying fundamental features in the quantum Hall effect (QHE). For instance, Aharonov-Bohm (AB) interference in a quantum Hall interferometer can probe the wave-particle duality of electrons and…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 Sourav Biswas , Hemanta Kumar Kundu , Rajarshi Bhattacharyya , Vladimir Umansky , Moty Heiblum

A novel version of the electric Aharonov-Bohm effect is proposed where the quantum system which picks up the Aharonov-Bohm phase is confined to a Faraday cage with a time varying, spatially uniform scalar potential. The electric and…

Quantum Physics · Physics 2023-09-14 RY Chiao , H Hart , NA Inan , M Scheibner , J Sharping , DA Singleton , ME Tobar

We review recent theoretical developments about the role of spins, electron-electron interactions, and spin-orbit coupling in metal nanoparticles and semiconductor quantum dots. For a closed system, in the absence of spin-orbit coupling or…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Oreg , P. W. Brouwer , X. Waintal , Bertrand I. Halperin

We study the magnetic orbital response of a system of N interacting electrons confined in a two-dimensional geometry and subjected to a perpendicular magnetic field in the finite temperature Hartree-Fock approximation. The electron-electron…

Mesoscale and Nanoscale Physics · Physics 2009-01-23 L. G. G. V. Dias da Silva , Caio H. Lewenkopf , Nelson Studart

Properties of the "electron gas" - in which conduction electrons interact by means of Coulomb forces but ionic potentials are neglected - change dramatically depending on the balance between kinetic energy and Coulomb repulsion. The limits…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Amit Ghosal , A. D. Guclu , C. J. Umrigar , Denis Ullmo , Harold U. Baranger

We study the amplitude of mesoscopic Aharonov-Bohm oscillations in quasi-one-dimensional (Q1D) diffusive rings. We consider first the low-temperature limit of a fully coherent sample. The variance of oscillation harmonics is calculated as a…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 T. Ludwig , A. D. Mirlin

We give a direct proof of the magnetic Aharonov-Bohm effects without using the scattering theory and the theory of inverse boundary value problems. This proof can serve as a framework for a physical experiment to confirm the magnetic AB…

Mathematical Physics · Physics 2011-09-20 Gregory Eskin

The back-action exerted by the moving electron on the magnetic flux in the A-B effect is analyzed. It is emphasized that a reasonable interpretation on the A-B effect should be consistent with the uncertain principle. If the back-action on…

Quantum Physics · Physics 2013-12-24 Wang Rui-Feng

The low-energy eigenstates of two interacting electrons in a square quantum dot in a magnetic field are determined by numerical diagonalization. In the strong correlation regime, the low-energy eigenstates show Aharonov-Bohm type…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. E. Creffield , J. H. Jefferson , S. Sarkar , D. L. Tipton

Coherent motion of electrons in a twisted quantum ring is considered to explore the effect of torsion inherent to the ring. Internal torsion of the ring composed of helical atomic configuration yields a non-trivial quantum phase shift in…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Hisao Taira , Hiroyuki Shima

A solvable molecular collision model that predicts Aharonov-Bohm (AB) like scattering in the adiabatic approximation is introduced. For it, we propagate coupled channel wave packets without resorting to a Born-Oppenheimer (BO)…

Quantum Physics · Physics 2017-02-01 B. Zygelman

We study the influence of electron-electron interactions on the electronic properties of disordered materials. In particular, we consider the insulating side of a metal-insulator transition where screening breaks down and the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Frank Epperlein , Michael Schreiber , Thomas Vojta

We report the observation of Coulomb blockade in a quantum dot contacted by two quantum point contacts each with a single fully-transmitting mode, a system previously thought to be well described without invoking Coulomb interactions. At…

Mesoscale and Nanoscale Physics · Physics 2012-04-06 S. Amasha , I. G. Rau , M. Grobis , R. M. Potok , H. Shtrikman , D. Goldhaber-Gordon

The Aharonov-Bohm (AB) effect highlights the fundamental role of electromagnetic potentials in quantum mechanics, manifesting as a phase shift for a charged particle in field-free regions. While well-established for static magnetic fluxes,…

Quantum Physics · Physics 2026-01-27 Shan Gao

We analyze a Hanbury Brown Twiss geometry in which particles are injected from two independent sources into a mesoscopic electrical conductor. The set-up has the property that all partial waves end in different reservoirs without generating…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. Samuelsson , E. V. Sukhorukov , M. Buttiker

The separate and combined influences of the spin-orbit and electron-electron interactions on the electron magnetization in quantum rings have been studied theoretically on the basis of the spin-density-functional theory and the Kohn-Sham…

Mesoscale and Nanoscale Physics · Physics 2013-09-23 O. S. Bauzha

Recent experiments involving semiconducting quantum dots embedded in Aharonov-Bohm interferometry setups suggest that information concerning the phase of electron wavefunctions can be obtained from transport measurements. Here we review the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Gefen

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