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In normal mesoscopic metals of a ring topology persistent currents can be induced by threading the center of the ring with a magnetic flux. This phenomenon is an example of the famous Aharonov-Bohm effect. In the paper we study the current…

Mesoscale and Nanoscale Physics · Physics 2010-10-19 Szymon Rogozinski , Lukasz Machura , Jerzy Luczka

This is a numerical study of the conductance of an Aharonov-Bohm interferometer in a tight-binding model of graphene. Two single-mode ballistic point contacts with zigzag edges are connected by two arms of a hexagonal ring enclosing a…

Mesoscale and Nanoscale Physics · Physics 2007-09-24 A. Rycerz , C. W. J. Beenakker

Aharonov-Bohm effect in a ferromagnetic thin ring in diffusive regime is theoretically studied by calculating the Cooperon and Diffuson. In addition to the spin-orbit interaction, we include the spin-wave excitation and the spin splitting,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gen Tatara , Hiroshi Kohno , edgar Bonet , Bernard Barbara

Using extensive tight-binding calculations, we investigate (including the spin) the Aharonov-Bohm (AB) effect in monolayer and bilayer trigonal and hexagonal graphene rings with zigzag boundary conditions. Unlike the previous literature, we…

Mesoscale and Nanoscale Physics · Physics 2012-04-19 Igor Romanovsky , Constantine Yannouleas , Uzi Landman

A quantum theory is developed for the scattering of a nonrelativistic particle in the field of a cosmic string regarded as a combination of a magnetic and gravitational strings. Allowance is made for the effects due to the finite transverse…

High Energy Physics - Theory · Physics 2007-05-23 Yurii Sitenko , Alexei Mishchenko

We study the effect of weak disorder on tunneling conductance of a single-channel quantum ring threaded by magnetic flux. We assume that temperature is higher than the level spacing in the ring and smaller than the Fermi energy. In the…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 P. M. Shmakov , A. P. Dmitriev , V. Yu. Kachorovskii

We propose a quantum system in which the winding number of rotations of a particle around a ring can be monitored and emerges as a physical observable. We explicitly analyze the situation when, as a result of the monitoring of the winding…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 Dmitri V. Averin , Christoph Bruder

We study the dependence of the entanglement entropy with a magnetic flux, and show that the former quantity witnesses an Aharonov Bohm-like effect. In particular, we consider free charged scalar and Dirac fields living on a two dimensional…

High Energy Physics - Theory · Physics 2015-03-23 Raúl E. Arias , David D. Blanco , Horacio Casini

Using the self-consistent Hartree-Fock approximation for spinless electrons at zero temperature, we study the persistent current of the interacting electron gas in a one-dimensional continuous ring containing a single $\delta$ barrier. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Radoslav Nemeth , Martin Mosko

Persistent and radiation-induced currents in distorted narrow quantum rings are theoretically investigated. We show that ring distorsions can be described using a geometrical potential term. We analyse the effect of this term on the current…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy V. Pershin , Carlo Piermarocchi

Recent precision measurements of mesoscopic persistent currents in normal-metal rings rely on the interaction between the magnetic moment generated by the current and a large applied magnetic field. Motivated by this technique, we extend…

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

We add a confining potential to the Aharonov-Bohm model resulting in no contact of the particle with the solenoid (border); this is characterized by a unique self-adjoint extension of the initial Hamiltonian operator. It is shown that the…

Mathematical Physics · Physics 2017-11-20 Cesar R. de Oliveira , Renan G. Romano

The lowest eigenenergies of few, strongly interacting electrons in a one--dimensional ring are studied in the presence of an impurity barrier. The persistent current $\:I\:$, periodic in an Aharonov--Bohm flux penetrating the ring, is…

Condensed Matter · Physics 2009-10-28 Wolfgang Häusler

We present a simple model of transmission across a metallic mesoscopic ring. In one of its arm an electron interacts with a single magnetic impurity via an exchange coupling. We show that entanglement between electron and spin impurity…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. M. Jayannavar

We have investigated the Aharonov-Bohm effect in a one-dimensional GaAs/GaAlAs ring at low magnetic fields. The oscillatory magnetoconductance of these systems are for the first time systematically studied as a function of density. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Pedersen , A. E. Hansen , A. Kristensen , C. B. Soerensen , P. E. Lindelof

We study the effects of the RKKY interaction between magnetic impurities on the mesoscopic conductance fluctuations of a metal ring with dilute magnetic impurities. At sufficiently low temperatures and strong magnetic fields, the loss of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Victor Galitski , M. G. Vavilov , L. I. Glazman

We consider a disordered system of gapless fermions interacting with a singular transverse (2+1)-dimensional gauge-field. We study quantum corrections to fermion conductivity and show that they are very different from those in a Fermi…

Strongly Correlated Electrons · Physics 2009-11-11 Victor Galitski

We study the persistent current in a system of SU($N$) fermions with repulsive interaction confined in a ring-shaped potential and pierced by an effective magnetic flux. By applying a combination of Bethe ansatz and numerical analysis, we…

Quantum Gases · Physics 2022-01-26 Wayne J. Chetcuti , Tobias Haug , Leong-Chuan Kwek , Luigi Amico

In a recent letter, Yi et al. PRL 78, 3523 (1997), have considered the stability of a Charge Density Wave in a one-dimensional ring, in the presence of an Aharonov-Bohm flux. This comment shows that, in one dimension, the stability of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Montambaux
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