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In this work, persistent currents in rings made of band insulators are analyzed theoretically. We first formulate a recipe which determines the Bloch states of a one-dimensional (1D) ring from the Bloch states of an infinite 1D crystal…

Mesoscale and Nanoscale Physics · Physics 2011-09-28 A. Mošková , M. Moško , J. Tóbik

An interacting quantum dot inserted in a mesoscopic ring is investigated. A variational ansatz is employed to describe the ground state of the system in the presence of the Aharonov-Bohm flux. It is shown that, for even number of electrons…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kicheon Kang , Sung-Chul Shin

We study the energy spectrum and the persistent current in an ideal one-dimensional mesoscopic ring coupled to a fermionic reservoir. We find that the tunnel coupling in general leads to the suppression of the persistent current. However,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Bernhard Wunsch , Alexander Chudnovskiy

We consider the effect of an oscillating potential on the single-particle spectrum and the time-averaged persistent current of a one-dimensional phase-coherent mesoscopic ring with a magnetic flux. We show that in a ring with an even number…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Moskalets , M. Buttiker

The persistent current in a clean mesoscopic ring with ballistic electron motion is calculated. The particle dynamics inside a ring is assumed to be chaotic due to scattering at the surface irregularities of atomic size. This allows one to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. V. Samokhin

A tight-binding model of electron dynamics in mesoscopic normal rings is studied using boundary conformal field theory. The partition function is calculated in the low energy limit and the persistent current generated as a function of an…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Jaimungal , M. H. S. Amin , G. Rose

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

The persistent current through a quantum dot inserted in a mesoscopic ring of length L is studied. A cluster representing the dot and its vicinity is exactly diagonalized and embedded into the rest of the ring. The Kondo resonance provides…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Valeria Ferrari , Guillermo Chiappe , Enrique V. Anda , Maria A. Davidovich

We consider a one-dimensional bosonic gas on a ring lattice, in the presence of a localized barrier, and under the effect of an artificial gauge field. By means of exact diagonalization we study the persistent currents at varying…

Quantum Gases · Physics 2017-12-22 Geva Arwas , Doron Cohen , Frank Hekking , Anna Minguzzi

Persistent current is a small but perpetual electric current that flows in metallic rings in the absence of any applied source. We compute the persistent currents of one-dimensional disordered metallic rings of interacting electrons in the…

Mesoscale and Nanoscale Physics · Physics 2021-07-06 R. O. Okanigbuan , K. N. Onaiwu , S. Ehika

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…

We thoroughly study the persistent current of noninteracting electrons in one, two, and three dimensional thin rings. We find that the results for noninteracting electrons are more relevant for individual mesoscopic rings than hitherto…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Hamutal Bary-Soroker , Ora Entin-Wohlman , Yoseph Imry

We calculate the average persistent current in a mesoscopic metal ring threaded by a magnetic flux in the diffusive regime. It is shown that the classical electromagnetic energy leads to a {\it{universal}} average current of the order of $…

Condensed Matter · Physics 2009-01-23 Peter Kopietz

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

We investigate a polyacetylene ring in an axially symmetric, static electric field with a modified SSH Hamiltonian of a polyacetylene chain. An effective gauge potential of the single electron Hamiltonian due to spin-field interaction is…

Condensed Matter · Physics 2009-11-07 Zhijian Li , J. Q. Liang , F. -C. Pu

The persistent current, i.e. the equilibrium direct electric current circulating in realistic rings, some authors interpreted as dissipationless in spite of non-zero resistance of the rings, whereas the other one suppose that this current…

Superconductivity · Physics 2010-06-29 V. L. Gurtovoi , A. I. Ilin , A. V. Nikulov , V. A. Tulin

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 a detailed study of persistent current and low-field magnetic susceptibility in single isolated normal metal mesoscopic rings and cylinders in the tight-binding model with higher order hopping integral in the Hamiltonian. Our…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 Santanu K. Maiti , J. Chowdhury , S. N. Karmakar

We calculate the magnetic moment (`persistent current') in a strongly correlated electron system --- a Wigner crystal --- in a one-dimensional ballistic ring. The flux and temperature dependence of the persistent current in a perfect ring…

Condensed Matter · Physics 2009-10-22 I. V. Krive , R. I. Shekhter , S. M. Girvin , M. Jonson

The remarkably large persistent currents that are observed in disordered micron-scale gold rings at low temperatures have recently been explained in a theory of non-interacting electrons scattered by crystal grain boundaries. The present…

Condensed Matter · Physics 2016-08-31 George Kirczenow
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