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The existence of the Aharonov-Bohm phase shows that the magnetic field may produce nonlocal effects in quantum mechanics. It is generally believed that such a nonlocal behavior of the magnetic field is not possible in classical physics and…

经典物理 · 物理学 2019-11-22 Ricardo Heras

We study the effect of a time-varying solenoidal vector potential for a quantum particle confined to a ring. The setup appears to be a time-varying version of the Aharonov-Bohm effect, but since the particle moves in the presence of fields,…

量子物理 · 物理学 2025-12-19 Patrick Hinrichs , Douglas Singleton , Nader Inan

The experimental realization of a coupled spin pair has been reported by Heiko Webber et.al and its theoretical description has been previously discussed including the condition that local magnetization of the junction is required for the…

介观与纳米尺度物理 · 物理学 2019-10-23 Juan David Vasquez Jaramillo , Erik Sjoqvist , Jonas Fransson

Quantum-mechanical theory for scattering of nonrelativistic charged particles with spin by a penetrable magnetic vortex is elaborated. The scattering differential cross section is shown to consist of two terms, one describing diffraction on…

量子物理 · 物理学 2014-11-18 Yurii A. Sitenko

The Aharonov-Bohm effect is a quantum mechanical phenomenon that demonstrates how potentials can have observable effects even when the classical fields associated with those potentials are absent. Initially proposed for electromagnetic…

量子物理 · 物理学 2024-09-05 Michael E Tobar , Michael T Hatzon , Graeme R Flower , Maxim Goryachev

By applying an electric field perpendicular to a semiconductor quantum ring we show that it is possible to modify the single particle wave function between quantum dot (QD)-like to ring-like. The constraints on the geometrical parameters of…

介观与纳米尺度物理 · 物理学 2012-04-17 Bin Li , F. M. Peeters

Using time-dependent Ginzburg-Landau theory we demonstrate that the Aharonov-Bohm (AB) effect, resulting from a Berry phase shift of the (macroscopic) wavefunction, is revealed through the dynamics of topological phase defects present in…

超导电性 · 物理学 2012-11-15 V. N. Gladilin , J. Tempere , J. T. Devreese , V. V. Moshchalkov

The Aharonov-Bohm effect is a physical phenomenon where the vector potential induces a phase shift of electron wavepackets in regions with zero magnetic fields. It is often referred to as evidence for the physical reality of the vector…

介观与纳米尺度物理 · 物理学 2025-06-26 Francesco Di Colandrea , Nazanin Dehghan , Filippo Cardano , Alessio D'Errico , Ebrahim Karimi

In some textbooks on quantum mechanics, the description of flux quantization in a superconductor ring based on the Aharonov-Bohm effect may lead some readers to a (wrong) conclusion that flux quantization occurs as well for a long solenoid…

量子物理 · 物理学 2009-01-14 F. Darabi

The Aharonov-Bohm (AB) effect in non-commutative quantum mechanics (NCQM) is studied. First, by introducing a shift for the magnetic vector potential we give the Schr$\ddot{o}$dinger equations in the presence of a magnetic field on NC space…

高能物理 - 理论 · 物理学 2009-01-07 Kang Li , Sayipjamal Dulat

We discuss the Aharonov-Bohm effect in the presence of hidden photons kinetically mixed with the ordinary electromagnetic photons. The hidden photon field causes a slight phase shift in the observable interference pattern. It is then shown…

高能物理 - 唯象学 · 物理学 2016-07-20 Paola Arias , Christian Diaz , Marco Aurelio Diaz , Joerg Jaeckel , Benjamin Koch , Javier Redondo

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,…

介观与纳米尺度物理 · 物理学 2009-11-10 O. Entin-Wohlman , Y. Imry , A. Aharony

Stokes' theorem is investigated in the context of the time-dependent Aharonov-Bohm effect -- the two-slit quantum interference experiment with a time varying solenoid between the slits. The time varying solenoid produces an electric field…

高能物理 - 理论 · 物理学 2014-04-02 James Macdougall , Douglas Singleton

The Aharonov-Bohm (AB) phase is usually associated with a line integral of the electromagnetic vector potential generated by an external current source, such as a solenoid. According to this interpretation, the AB phase of a nonclosed path…

量子物理 · 物理学 2023-08-21 A. Hayashi

The point-particle-like Hamiltonian of a biaxial spin particle with external magnetic field along the hard axis is obtained in terms of the potential field description of spin systems with exact spin-coordinate correspondence. The Zeeman…

凝聚态物理 · 物理学 2016-08-15 J. -Q. Liang , H. J. W. Müller-Kirsten , D. K. Park , F. -C. Pu

Although the conductance of a closed Aharonov-Bohm interferometer, with a quantum dot on one branch, obeys the Onsager symmetry under magnetic field reversal, it needs not be a periodic function of this field: the conductance maxima move…

介观与纳米尺度物理 · 物理学 2009-11-11 Amnon Aharony , Ora Entin-Wohlman , Tomohiro Otsuka , Shingo Katsumoto , Hisashi Aikawa , Kensuke Kobayashi

The scattering of electrons with inhomogeneities produces modulations in the local density of states of a metal. We show that electron interference contributions to these modulations are affected by the magnetic field via the Aharonov-Bohm…

介观与纳米尺度物理 · 物理学 2015-05-14 A. Cano , I. Paul

Orbital diamagnetism requires closed orbits according to the Liftshiftz-Kosevich theory. Therefore, one might expect that open Fermi surfaces do not have a diamagnetic response. Contrary to this expectation, we show that open orbits in…

介观与纳米尺度物理 · 物理学 2023-03-09 Kostas Vilkelis , Ady Stern , Anton Akhmerov

We investigate the scattering of a charged quantum particle in a helically twisted background that induces an effective Coulomb-like interaction, in the presence of an Aharonov-Bohm (AB) flux. Starting from the nonrelativistic Schr\"odinger…

量子物理 · 物理学 2026-02-06 Augusto Tadeu P. de Araújo , Edilberto O. Silva

The Aharonov-Bohm (AB) effect is now largely considered to be a manifestation of geometric phase. However, by decomposing the vector-potential gradient tensor into divergence, curl, and shear components, we isolate a field/charged-particle…

量子物理 · 物理学 2023-02-07 Keith J. Kasunic