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We propose a simple situation in which the magnetic Aharonov-Bohm potential influences the values of the deficiency indices of the initial Schr\"odinger operator, so determining whether the particle interacts with the solenoid or not. Even…

Mathematical Physics · Physics 2020-02-12 Cesar R. de Oliveira , Renan G. Romano

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…

Quantum Physics · Physics 2014-11-18 Yurii A. Sitenko

We calculate the persistent current of 1D rings of spinless fermions with short-range interactions on a lattice with up to 20 sites, and in the presence of disorder, for various band fillings. We find that {\it both} disorder and…

Condensed Matter · Physics 2009-10-22 G. Bouzerar , D. Poilblanc , G. Montambaux

We give a universal description of the mesoscopic effects occurring in fractional quantum Hall disks due to the Aharonov-Bohm flux threading the system. The analysis is based on the exact treatment of the flux within the conformal field…

High Energy Physics - Theory · Physics 2007-05-23 Lachezar S. Georgiev

Persistant current in isolated mesoscopic rings is studied using the continium and tight-binding models of independent electrons. The calculation is performed with disorder and also at finite temperature. In the absence of disorder and at…

Condensed Matter · Physics 2009-10-22 J. F. Weisz , R. Kishore , Feodor V. Kusmartsev

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

We consider the Aharonov-Bohm effect on entanglement entropy for one interval in (1+1) dimensional conformal field theory on a one dimensional ring. The magnetic field is confined inside the ring, i.e. there is a Wilson loop on the ring.…

High Energy Physics - Theory · Physics 2017-09-27 Noburo Shiba

We put forward a new approach based on Green's function formalism to evaluate precisely persistent charge and spin currents in an Aharonov-Bohm ring subjected to Rashba and Dresselhaus spin-orbit interactions. Unlike conventional methods…

Mesoscale and Nanoscale Physics · Physics 2014-08-19 Santanu K. Maiti , Moumita Dey , S. N. Karmakar

The persistent current in small isolated rings enclosing magnetic flux is the current circulating in equilibrium in the absence of an external excitation. While initially studied in superconducting and normal metals, recently, atomic…

Quantum Gases · Physics 2022-03-08 Ovidiu I. Patu , Dmitri V. Averin

We study a mesoscopic metallic ring threaded by a magnetic flux which varies linearly in time PhiM(t)=Phi t with a formalism based in Baym-Kadanoff-Keldysh non-equilibrium Green functions. We propose a method to calculate the Green…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 L. Arrachea

The Aharonov-Bohm (AB) effect has been highly influential in fundamental and applied physics. Its topological nature commonly implies that an electron encircling a magnetic flux source in a field-free region must close the loop in order to…

We study the Kondo effect in a quantum dot embedded in a mesoscopic ring taking into account intradot spin-flip scattering $R$. Based on the finite-$U$ slave-boson mean-field approach, we find that the Kondo peak in the density of states is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Bing Dong , G. H. Ding , H. L. Cui , X. L. Lei

We study Aharonov-Bohm effect in a two-terminal helical ring with long-range hopping in presence of Rashba spin-orbit interaction. We explore how the spin polarization behavior changes depending on the applied magnetic flux and the incoming…

Mesoscale and Nanoscale Physics · Physics 2016-11-11 Paramita Dutta , Arijit Saha , A. M. Jayannavar

We study the amplitude of mesoscopic Aharonov-Bohm oscillations in quasi-one-dimensional (Q1D) diffusive rings. We consider first the low-temperature limit of a fully coherent sample. The variance of oscillation harmonics is calculated as a…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 T. Ludwig , A. D. Mirlin

We have studied the Aharonov-Bohm flux-induced magnetic response of a disordered non-Hermitian ring. The disorder is introduced through an on-site quasiperiodic potential described by the Aubry-Andr\'{e}-Harper (AAH) model, incorporating a…

Mesoscale and Nanoscale Physics · Physics 2025-07-16 Suparna Sarkar , Soumya Satpathi , Swapan K. Pati

We study the influence of a magnetic impurity or ultrasmall quantum dot on the charge persistent current of a mesoscopic ring. The system consists of electrons in a one-dimensional ring threaded by spin-dependent Aharonov-Bohm/Casher…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. -P. Eckle , H. Johannesson , C. A. Stafford

We study the persistent current circulating along a mesoscopic ring with a dot side-coupled to it when threaded by a magnetic field. A cluster including the dot and its vicinity is diagonalized and embedded into the rest of the system. The…

Strongly Correlated Electrons · Physics 2009-11-07 E. V. Anda , C. Busser , G. Chiappe , M. A. Davidovich

Electron transport through mesoscopic, one-dimensional rings with asymmetric injection into the arms of the ring is studied, in the presence of a Aharonov-Bohm flux, by means of an appropriate $\boldsymbol{S}$ matrix. This matrix is…

Mesoscale and Nanoscale Physics · Physics 2015-11-23 P. Vasilopoulos , O. Kálmán , F. M. Peeters , M. G. Benedict

We have analysed the nature of persistent currents in open coupled mesoscopic rings. Our system is comprised of two ideal loops connected to an electron reservoir. We have obtained analytical expressions for the persistent current densities…

Condensed Matter · Physics 2009-10-28 T. P. Pareek , A. M. Jayannavar

In order to investigate the effect of electronic phase coherence on screening we have measured the flux dependent polarizability of isolated mesoscopic rings at 350 MHz. At low temperature (below 100 mK) both non-dissipative and dissipative…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. Deblock , Y. Noat , H. Bouchiat , B. Reulet , D. Mailly
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