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The effect of time-varying electromagnetic fields on electron coherence is investigated. A sinusoidal electromagnetic field produces a time varying Aharonov-Bohm phase. In a measurement of the interference pattern which averages over this…

Quantum Physics · Physics 2009-11-10 Jen-Tsung Hsiang , L. H. Ford

We study a simple model of dephasing of Aharonov-Bohm oscillations in the transmission of an electron across a mesoscopic ring. A magnetic impurity in one of the arms of the ring couples to the electron spin via an exchange interaction.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sandeep K. Joshi , Debendranath Sahoo , A. M. Jayannavar

The shift in Aharanov-Bohm electron-interference fringe positions has been previously derived as resulting from phase differences induced by the magnetic vector potential, without being clear on the physical mechanism behind it. In this…

Quantum Physics · Physics 2019-12-05 Keith J. Kasunic

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 that transport and thermodynamic properties of \emph{singly-connected} disordered conductors exhibit quantum Aharonov - Bohm oscillations with the total magnetic flux through the system. The oscillations are associated with the…

Mesoscale and Nanoscale Physics · Physics 2015-03-05 I. L. Aleiner , A. V. Andreev , V. Vinokur

When a magnetic field pierces a multiple-connected quantum system, the corresponding wavefunction is altered although no net Lorentz force acts upon its carriers. This is the so called Aharonov-Bohm effect. The most simple…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Planelles , J. I. Climente , J. L. Movilla

We compute the magnetic response of hollow semimetal cylinders and rings to the presence of an axial Aharonov-Bohm magnetic flux, in the absence of interactions. We predict nullification of the Aharonov-Bohm effect for a class of dispersion…

Mesoscale and Nanoscale Physics · Physics 2025-03-03 Eugene B. Kolomeisky , Joseph P. Straley

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

Quasi-particles in fractional quantum Hall states are collective excitations that carry fractional charge and anyonic statistics. While the fractional charge affects semi-classical characteristics such as shot noise and charging energies,…

The Aharonov-Bohm (AB) effect is a pure quantum effect that implies a measurable phase shift in the wave function for a charged particle that encircles a magnetic flux located in a region \textit{inaccessible} to the particle. Classically,…

Quantum Physics · Physics 2022-09-23 Xiang Li , Thors Hans Hansson , Wei Ku

We present a microscopic picture of quantum transport in quantum antidots in the quantum Hall regime taking electron interactions into account. We discuss the edge state structure, energy level evolution, charge quantization and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. Ihnatsenka , I. V. Zozoulenko , G. Kirczenow

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 study the Aharonov-Bohm-Coulomb problem in a graphene ring. We investigate, in particular, the effects of a Coulomb type potential of the form $\xi/r$ on the energy spectrum of Dirac electrons in the graphene ring in two different ways:…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Eylee Jung , Mi-Ra Hwang , ChangSoo Park , DaeKil Park

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…

Mesoscale and Nanoscale Physics · Physics 2012-04-17 Bin Li , F. M. Peeters

We investigate the effects of impurities and changing ring geometry on the energetics of quantum rings under different magnetic field strengths. We show that as the magnetic field and/or the electron number are/is increased, both the…

Strongly Correlated Electrons · Physics 2007-05-23 M. Aichinger , S. A. Chin , E. Krotscheck , E. Rasanen

As a consequence of the Aharonov-Bohm effect, there is a quantum-induced attraction between a charged particle and a rigid, impenetrable hoop made from an arbitrarily thin tube containing a superconductor quantum of magnetic flux. This is…

Quantum Physics · Physics 2007-05-23 Alfred Scharff Goldhaber , Ryan Requist

Inverted-band $pn$ junctions in two-dimensional materials offer a promising platform for electron optics in condensed matter, as they allow to manipulate and guide electron beams without the need for spatial confinement. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Yuhao Zhao , Oded Zilberberg , Antonio Štrkalj

The Aharonov-Bohm effect in a one-dimensional (1D) ring containing a gas of fractionally charged excitations is considered. It is shown that the low temperature behavior of the system is identical to that of free electrons with (integer)…

Condensed Matter · Physics 2016-08-15 I. V. Krive , P. Sandström , R. I. Shekhter , M. Jonson

Phase relaxation of electrons transferring through an electromechanical transistor is studied using the Aharonov-Bohm interferometer. With the approach of quantum master equation, the phase properties of an electron are numerically analyzed…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Wenxi Lai , Yunhui Xing , Zhongshui Ma

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
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