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We study a field-theoretical analogue of the Aharonov-Bohm effect in two-, three- and four-dimensional Abelian Higgs models; the corresponding topological interaction is proportional to the linking number of the Abrikosov vortex and the…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov

The possibility of detecting noncommutive space relics is analyzed by using the Aharonov-Bohm effect. If space is non-commutative, it turns out that the holonomy receives kinematical corrections that tend to diffuse the fringe pattern. This…

High Energy Physics - Theory · Physics 2007-05-23 J. Gamboa , M. Loewe , J. C. Rojas

In this paper we review some aspects of the scattering Aharonov-Bohm effect and Berry's phase. Specifically, the problem of scattering of free 2d electrons on the system of an arbitrary number of parallel, infinitely thin and infinitely…

Quantum Physics · Physics 2019-05-01 Boris Ivetić

We study the effect of Aharonov-Bohm flux on the superconducting state in metallic cylinders. Although Byers and Yang attributed flux quantization to the flux-dependent minimum of kinetic energies of the Cooper pairs, it is shown that…

Superconductivity · Physics 2009-11-07 Mi-Ae Park , Yong-Jihn Kim

We study the effects of Kondo correlations on the transmission phase shift of a quantum dot in an Aharonov-Bohm ring. We predict in detail how the development of a Kondo resonance should affect the dependence of the phase shift on transport…

Strongly Correlated Electrons · Physics 2009-10-31 Ulrich Gerland , Jan von Delft , Theo Costi , Yuval Oreg

In this article we theoretically study the phase shift a single atom imprints onto a coherent state light beam in free space. The calculations are performed in a semiclassical framework. The key parameters governing the interaction and thus…

Quantum Physics · Physics 2013-10-03 Markus Sondermann , Gerd Leuchs

We consider a flux-threaded Aharonov-Bohm ring with an embedded quantum dot coupled to two normal leads. The local Rashba spin-orbit interaction acting on the dot electrons leads to a spin-dependent phase factor in addition to the…

Mesoscale and Nanoscale Physics · Physics 2015-03-14 Jong Soo Lim , Mircea Crisan , David Sanchez , Rosa Lopez , Ioan Grosu

In the present work, we investigated the quantum behavior of a charged particle that is under the effect of a uniform magnetic external field. We assumed that space-time has a space-like dislocation with an internal magnetic flux. We…

Quantum Physics · Physics 2020-11-05 B. C. Lütfüoğlu , J. Kříž , P. Sedaghatnia , H. Hassanabadi

After discussing the peculiarities of quantum systems on noncommutative (NC) spaces with non-trivial topology and the operator representation of the $\star$-product on them, we consider the Aharonov-Bohm and Casimir effects for such spaces.…

High Energy Physics - Theory · Physics 2008-11-26 M. Chaichian , A. Demichev , P. Presnajder , M. M. Sheikh-Jabbari , A. Tureanu

The effect of electron-phonon coupling on transport through a pair of strongly correlated quantum dots embedded in the Aharonov-Bohm ring is considered in the mean field slave boson Kotliar-Ruckenstein approach. It is shown that coupling…

Mesoscale and Nanoscale Physics · Physics 2020-10-06 P. P. Florków , D. Krychowski , S. Lipiński

The Kondo effect is the many-body screening of a local spin by a cloud of electrons at very low temperature. It has been proposed as an explanation of the zero-bias anomaly in quantum point contacts where interactions drive a spontaneous…

Mesoscale and Nanoscale Physics · Physics 2016-03-30 B. Brun , F. Martins , S. Faniel , B. Hackens , A. Cavanna , C. Ulysse , A. Ouerghi , U. Gennser , D. Mailly , P. Simon , S. Huant , V. Bayot , M. Sanquer , H. Sellier

This paper presents a hydrodynamical view of the Aharonov-Bohm effect, using Nelson's formulation of quantum mechanics. Our aim is to compare our results with other systems and gain a better understanding of the mysteries behind this…

Quantum Physics · Physics 2023-07-25 Charalampos Antonakos , Andreas F. Terzis

A quantum particle interacting with a thin solenoid and a magnetic flux is described by a five-parameter family of Hamilton operators, obtained via the method of self-adjoint extensions. One of the parameters, the value of the flux,…

Mathematical Physics · Physics 2015-06-26 L. Dabrowski , P. Stovicek

Phase effects on the conductance of a double-dot system in a ring structure threaded by a magnetic flux are studied. The Aharonov-Bohm effect combined with the dot many-body charging effects determine the phases of the currents going…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. M. Apel , Maria A. Davidovich , G. Chiappe , E. V. Anda

The Aharonov-Casher (AC) effect in non-commutative(NC) quantum mechanics is studied. Instead of using the star product method, we use a generalization of Bopp's shift method. After solving the Dirac equations both on noncommutative space…

High Energy Physics - Theory · Physics 2008-11-26 Kang Li , Jianhua Wang

We show that the linking of a semiclassical path of a charged particle with a knotted magnetic solenoid results in the Aharonov-Bohm effect. The phase shift in the wave function is proportional to the flux intersecting a certain connected…

High Energy Physics - Theory · Physics 2009-02-16 Roman V. Buniy , Thomas W. Kephart

The adiabatic Aharonov-Bohm (AB) effect is a manifestation of the Berry phase acquired when some slow variables take a planar spin around a loop. While the effect has been observed in molecular spectroscopy, direct measurement of the…

Quantum Physics · Physics 2015-11-16 Erik Sjöqvist , Martin Almquist , Ken Mattsson , Zeynep Nilhan Gürkan , Björn Hessmo

In this paper we consider external current QED in the Coulomb gauge and in axial gauges for various spatial directions of the axis. For a non-zero electric charge of the current, we demonstrate that any two different gauges from this class…

High Energy Physics - Theory · Physics 2021-04-23 Wojciech Dybalski , Benedikt Wegener

By using a generalized Bopp's shift formulation, instead of star product method, we investigate the Aharonov-Casher(AC) effect for a spin-1 neutral particle in non-commutative(NC) quantum mechanics. After solving the Kemmer equations both…

Mathematical Physics · Physics 2008-11-26 Sayipjamal Dulat , Kang Li

Inspired from Sutherland's work [Phys. Rev. Lett. {\bf 74}, 816 (1995)] on detecting bound spin waves, we propose that bound electron states can be detected from the dependence of interacting electron systems to the Aharonov-Bohm flux in…

Condensed Matter · Physics 2009-10-28 K. Kusakabe , H. Aoki
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