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The Aharonov-Bohm effect is a physical phenomenon in which the quantum state of a charged particle acquires a phase shift that is directly proportional to the magnetic flux, $\Phi$, due to a (classical) magnetic field, ${\mathbf B}$, which…

Quantum Physics · Physics 2026-04-09 Manvendra Somvanshi , D. Jaffino Stargen

Few-electron systems confined in a quantum dot laterally coupled to a surrounding quantum ring in the presence of an external magnetic field are studied by exact diagonalization. The distribution of electrons between the dot and the ring is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Szafran , F. M. Peeters , S. Bednarek

We have extended the circuit theory of Andreev conductance [Phys.~Rev.~Lett. {\bf 73}, 1420 (1994)] to diffusive superconducting hybrid structures that contain an Aharonov-Bohm ring. The electrostatic potential distribution in the system is…

Condensed Matter · Physics 2009-10-28 T. H. Stoof , Yu. V. Nazarov

We investigate the persistent current influenced by the spin fluctuations in a mesoscopic ring weakly coupled to a quantum dot. It is shown that the Kondo effect gives rise to some unusual features of the persistent current in the limit…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Sam Young Cho , Kicheon Kang , Chul Koo Kim , Chang-Mo Ryu

We use a covariant formalism that is capable of describing the electric and magnetic versions of the Aharonov-Bohm effect, as well as the Aharonov-Casher effect, through local interactions of charges and currents with the quantum…

Quantum Physics · Physics 2021-09-29 Pablo L. Saldanha

We discuss two possible covariant generalizations of the Aharonov-Bohm effect - one expression in terms of the space-time line integral of the four-vector potential and the other expression in terms of the space-time "area" integral of the…

High Energy Physics - Theory · Physics 2013-05-27 Douglas Singleton , Elias C. Vagenas

We theoretically study the single electron transfer through two-terminal quantum ring capacitively coupled to charged dot placed in its center. For this purpose we solve time-dependent Schrodinger equation for fully correlated two-particle…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 T. Chwiej , K. Kutorasinski

The Kondo effect is investigated in a many-electron quantum ring as a function of magnetic field. For fields applied perpendicular to the plane of the ring a modulation of the Kondo effect with the Aharonov-Bohm period is observed. This…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Fuhrer , T. Ihn , K. Ensslin , W. Wegscheider , M. Bichler

Circuit quantization links a physical circuit to its corresponding quantum Hamiltonian. The standard quantization procedure generally assumes any external magnetic flux to be static. Time dependence naturally arises, however, when flux is…

Quantum Physics · Physics 2019-05-23 Xinyuan You , J. A. Sauls , Jens Koch

We investigate the persistent currents and magnetization of a mesoscopic system consisting of two clean metallic rings sharing a single contact point in a magnetic field. Many novel features with respect to the single-ring geometry are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Y. Avishai , J. M. Luck

It has been suggested that the magnetic Aharonov-Bohm effect can be interpreted equally well as being due to a phase shift associated with an electron in an interferometer enclosing a magnetic flux, or as a phase shift associated with the…

Quantum Physics · Physics 2025-10-14 J. D. Franson

We consider the currents flowing in a solid-state interferometer under the effect of both an Aharonov-Bohm phase and a bias potential. Expressions are obtained for these currents, allowing for electronic or electron-boson interactions,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 O. Entin-Wohlman , Y. Imry , A. Aharony

Following semiclassical arguments by Vaidman we show, for the first time in a fully quantum mechanical way, that the phase shifts arising in the Aharonov Bohm (A-B) magnetic or electric effects can be treated as due to the electric force of…

Quantum Physics · Physics 2017-05-31 Philip Pearle , Anthony Rizzi

Anholonomies in eigenstates are studied through time-dependent variations of a magnetic flux in an Aharonov-Bohm ring. The anholonomies in the eigenenergy and the expectation values of eigenstates are shown to persist beyond the adiabatic…

Quantum Physics · Physics 2014-11-21 Atushi Tanaka , Taksu Cheon

We consider the loop quantization of Maxwell theory. A quantization of this type leads to a quantum theory in which the fundamental excitations are loop-like rather than particle-like. Each such loop plays the role of a quantized Faraday's…

High Energy Physics - Theory · Physics 2009-10-30 Alejandro Corichi , Kirill Krasnov

The magnetic flux periodicity of superconducting loops as well as flux quantization itself are a manifestation of macroscopic quantum phenomena with far reaching implications. They provide the key to the understanding of many fundamental…

Superconductivity · Physics 2008-02-11 F. Loder , A. P. Kampf , T. Kopp , J. Mannhart , C. W. Schneider , Yu. S. Barash

A single-mode microcavity with an embedded Aharonov-Bohm quantum ring, which is pierced by a magnetic flux and subjected to a lateral electric field, is studied theoretically. It is shown that external electric and magnetic fields provide…

Mesoscale and Nanoscale Physics · Physics 2014-09-02 A. M. Alexeev , I. A. Shelykh , M. E. Portnoi

We have investigated experimentally resonant tunnelling through single-particle states formed around an antidot by a magnetic field, in the fractional quantum Hall regime. For 1/3 filling factor around the antidot, Aharonov-Bohm…

The Aharonov-Bohm effect is investigated in two-dimensional, single-terminal quantum rings in magnetic fields by using time-dependent density-functional theory. We find multiple transport loops leading to the oscillation periods of h/(en),…

Strongly Correlated Electrons · Physics 2010-06-22 V. Kotimaki , E. Rasanen

For a believer in locality of Nature, the Aharonov-Bohm effect and the Aharonov-Casher effect are paradoxes. I discuss these and other Aharonov's paradoxes and propose a local explanation of these effects. If the solenoid in the…

Quantum Physics · Physics 2015-06-12 Lev Vaidman