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The gap oscillations caused by a magnetic flux penetrating a carbon nanotube represent one of the most spectacular observation of the Aharonov-Bohm effect at the nano--scale. Our understanding of this effect is, however, based on the…

Mesoscale and Nanoscale Physics · Physics 2012-06-04 Davide Sangalli , Andrea Marini

Gauge theories arise in physical systems displaying space-time local symmetries. They provide a powerful description of important realms of physics ranging from fundamental interactions, to statistical mechanics, condensed matter and more…

Quantum Gases · Physics 2025-11-04 Enrico C. Domanti , Paolo Castorina , Dario Zappalà , Luigi Amico

The canonical Aharonov-Bohm effect is usually studied with time-independent potentials. In this work, we investigate the Aharonov-Bohm phase acquired by a charged particle moving in {\it time-dependent} potentials . In particular, we focus…

High Energy Physics - Theory · Physics 2015-09-29 Max Bright , Douglas Singleton , Atsushi Yoshida

The ground states of few electrons confined in two vertically coupled quantum rings in the presence of an external magnetic field are studied systematically within the current spin-density functional theory. Electron-electron interactions…

Mesoscale and Nanoscale Physics · Physics 2009-10-05 L. K. Castelano , G. -Q. Hai , B. Partoens , F. M. Peeters

We predict the force-free scalar Aharonov-Bohm effect of a Cooper pair box in an electric field at a distance without forming a closed path of the interfering charges. The superposition of different charge states plays a major role in…

Mesoscale and Nanoscale Physics · Physics 2018-11-02 Young-Wan Kim , Kicheon Kang

This paper addresses the scattering of a beam of charged particles by an infinitely long magnetic string in the context of the hydrodynamical approach to quantum mechanics. The scattering is qualitatively analyzed by two approaches. In the…

Dynamical Systems · Mathematics 2007-05-23 Luis Fernando Mello , Yuri Cândido Ribeiro

In the Aharonov-Bohm setup, a double-slit experiment, when a long but thin solenoid of current is introduced between the two coherent beams of electrons behind the slits, an extra phase difference between the interfering beams appears, as…

Quantum Physics · Physics 2025-10-17 Ashok K. Singal

In this paper, we study the phenomenon of quantum interference in the presence of external gravitational fields described by alternative theories of gravity. We analyze both non-relativistic and relativistic effects induced by the…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Luca Buoninfante , Gaetano Lambiase , Luciano Petruzziello

We investigate Aharonov-Bohm-type oscillations of the thermopower of a quantum dot embedded in a ring for the case when the interaction between electrons can be neglected. The thermopower is shown to be strongly flux dependent, and…

Condensed Matter · Physics 2009-10-28 Ya. M. Blanter , C. Bruder , Rosario Fazio , Herbert Schoeller

Quantization of multiply-connected spaces requires tools which take these spaces' global properties into account. Applying these tools exposes additional degrees of freedom. This was first realized in the Aharonov-Bohm effect, where this…

Mathematical Physics · Physics 2015-01-16 Klil H. Neori , Philip Goyal

We study the Coulomb interaction-induced Aharonov-Bohm (AB) oscillations in the linear response transport through a remote quantum dot which has no tunnel coupling but has Coulomb coupling with the quantum dot embedded in an AB…

Mesoscale and Nanoscale Physics · Physics 2015-08-04 Toshihiro Kubo , Yasuhiro Tokura

Quantum interferometers are powerful tools for probing the wave-nature and exchange statistics of indistinguishable particles. Of particular interest are interferometers formed by the chiral, one-dimensional (1D) edge channels of the…

The effect of electron-electron interaction on the electronic structure of Aharonov-Bohm (AB) graphene quantum rings (GQRs) is explored theoretically using the single-band tight-binding Hamiltonian and the mean-field Hubbard model. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 R. Farghadan , A. Saffarzadeh , E. Heidari Semiromi

We obtain exact analytical expressions for the electronic transport through a multi-channel system, also with an applied magnetic field. The geometrical structure of the electrodes is found to cause a splitting of the conduction band into…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Yan Chen , Shi-Jie Xiong , S. N. Evangelou

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

We report a comprehensive discussion of quantum interference effects due to the finite structure of excitons in quantum rings and their first experimental corroboration observed in the optical recombinations. Anomalous features that appear…

The state space of Loop Quantum Gravity admits a decomposition into orthogonal subspaces associated to diffeomorphism equivalence classes of spin-network graphs. In this paper I investigate the possibility of obtaining this state space from…

General Relativity and Quantum Cosmology · Physics 2014-02-19 Eugenio Bianchi

We consider a quantum ring placed in a gyrotropic cavity characterized by the energy splitting between the left and right circularly polarized modes. We show that despite the absence of constant magnetic field penetrating through the ring,…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Loic Remolif , Ivan Iorsh

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

The magnetic Aharonov-Bohm (A-B) effect occurs when a point charge interacts with a line of magnetic flux, while its dual, the Aharonov-Casher (A-C) effect, occurs when a magnetic moment interacts with a line of charge. For the two…

Quantum Physics · Physics 2015-06-05 Scot McGregor , Ryan Hotovy , Adam Caprez , Herman Batelaan