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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 analyze interference phenomena in the quantum-Hall analog of the Fabry-Perot interferometer, exploring the roles of the Aharonov-Bohm effect, Coulomb interactions, and fractional statistics on the oscillations of the resistance as one…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Bertrand I. Halperin , Ady Stern , Izhar Neder , Bernd Rosenow

We show how the Aharonov-Bohm flux (AB) $\phi_i$ and the dual gaps $(\Delta_1, \Delta_2)$ can affect the electron scattering in graphene quantum dots (GQDs) of radius $r_0$ in the presence of an electrostatic potential $V$. After obtaining…

Mesoscale and Nanoscale Physics · Physics 2024-09-23 Fatima Belokda , Ahmed Bouhlal , Ahmed Jellal

We consider the magnetic flux in a quantum mechanical superposition of two values and find that the Aharonov-Bohm effect interference pattern contains information about the nature of the superposition, allowing information about the state…

Quantum Physics · Physics 2014-02-12 Kaća Bradonjić , John D. Swain

The Aharonov--Bohm effect is considered as a scattering event with nonrelativistic charged particles of the wavelength which is less than the transverse size of an impenetrable magnetic vortex. The quasiclassical WKB method is shown to be…

Quantum Physics · Physics 2016-10-04 Yu. A. Sitenko , N. D. Vlasii

We use spin-density-functional theory within an envelope function approach to calculate electronic states in a GaAs/InAs core-shell nanowire pierced by an axial magnetic field. Our fully 3D quantum modeling includes explicitly the…

Mesoscale and Nanoscale Physics · Physics 2015-03-31 Miquel Royo , Carlos Segarra , Andrea Bertoni , Guido Goldoni , Josep Planelles

We consider the non-equilibrium dynamics of a molecular level interacting with local phonon modes in the case of a strong polaronic shift which prevents a perturbative treatment of the problem. Instead, we find that in an adiabatic regime…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Mozyrsky , M. B. Hastings , I. Martin

We show theoretically that the strong coupling of circularly polarized photons to an exciton in ring-like semiconductor nanostructures results in physical nonequivalence of clockwise and counterclockwise exciton rotations in the ring. As a…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 O. V. Kibis , H. Sigurdsson , I. A. Shelykh

We study a multi-functional device for cold atoms consisting of a three-terminal ring circuit pierced by a synthetic magnetic flux, where the ring can be continuous or discretized. The flux controls the atomic current through the ring via…

In the Aharonov-Bohm (AB) effect, interference fringes are observed for a charged particle in the absence of the local overlap with the external electromagnetic field. This notion of the apparent nonlocality of the interaction or the…

Quantum Physics · Physics 2025-06-11 Kicheon Kang

The quantum nature of matter lies in the wave function phases that accumulate while particles move along their trajectories. A prominent example is the Aharonov-Bohm phase, which has been studied in connection with the conductance of…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 A. O. Govorov , S. E. Ulloa , K. Karrai , R. J. Warburton

We consider a single spin in a constant magnetic field or an anisotropy field. We show that additional external time-periodic fields with zero mean may generate nonzero time-averaged spin components which are vanishing for the time-averaged…

Statistical Mechanics · Physics 2014-09-11 S. Flach , A. A. Ovchinnikov

Whether the time-dependent Aharonov-Bohm (AB) effect even exists or not has been the subject of long-standing debate. There are two factors complicating the problem. First, in the closed spacetime line integral of the vector potential that…

Quantum Physics · Physics 2025-11-12 Masashi Wakamatsu

In disordered metals, electron-electron interactions are the origin of a small correction to the conductivity, the "Altshuler-Aronov correction". Here we investigate the Altshuler-Aronov correction of a conductor in which the electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Piet W. Brouwer , Joern N. Kupferschmidt

In this work, we use the thin-layer quantization procedure to study the physical implications due to curvature effects on a quantum dot in the presence of an external magnetic field. Among the various physical implications due to the…

Mesoscale and Nanoscale Physics · Physics 2019-11-25 Luis Fernando C. Pereira , Fabiano M. Andrade , Cleverson Filgueiras , Edilberto O. Silva

It is proved that the phase shift of a polarized neutron interacting with a spatially uniform time-dependent magnetic field, demonstrates the same physical principles as the magnetic Aharonov-Bohm effect. The crucial role of inert objects…

Quantum Physics · Physics 2009-10-31 E. Comay

The gauge invariance of the Aharonov-Bohm (AB) effect with a quantum treatment for the electromagnetic field is demonstrated. We provide an exact solution for the electromagnetic ground energy due to the interaction of the quantum…

Quantum Physics · Physics 2024-06-12 Pablo L. Saldanha

The Aharonov-Bohm effect is a genuine quantum effect typically characterized by a measurable phase shift in the wave function for a charged particle that encircles an electromagnetic field located in a region inaccessible to the mentioned…

Quantum Physics · Physics 2024-02-14 Jose A. R. Cembranos , David García-López , Zoe G. del Toro

We study transport of non-interacting electrons through two quantum dot molecules embedded in an Aharonov-Bohm interferometer. The system in equilibrium exhibits bound states in the continuum (BIC) and total suppression of transmission. It…

Mesoscale and Nanoscale Physics · Physics 2009-01-20 M. L. Ladrón de Guevara , Gustavo A. Lara , P. A. Orellana

In this paper we investigate the scalar Aharonov-Bohm (AB) effect in two of its forms, i.e., its electric form and its gravitational form. The standard form of the electric AB effect involves having particles (such as electrons) move in…