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Theoretical approaches to one-dimensional and quasi-one-dimensional quantum rings with a few electrons are reviewed. Discrete Hubbard-type models and continuum models are shown to give similar results governed by the special features of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Viefers , P. Koskinen , P. Singha Deo , M. Manninen

We calculate the average persistent current in a normal conducting, mesoscopic ring in the diffusive regime. In the presence of magnetic impurities, a contribution to the persistent current is identified, which is related to fluctuations in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 P. Schwab , U. Eckern

We use Density Functional Theory to study interacting spinless electrons on a one-dimensional quantum ring in the density range where the system undergoes Wigner crystallization. The Wigner transition leads to a drastic ``collective''…

Mesoscale and Nanoscale Physics · Physics 2007-11-20 Marc Siegmund , Markus Hofmann , Oleg Pankratov

It is shown that in a structure consisting of a superconducting ring-shaped electrode overlapped by a normal metal contact through a thin oxide barrier, measurements of the tunnel current in magnetic field can probe persistent currents in…

Superconductivity · Physics 2009-04-07 K. Yu. Arutyunov , T. T. Hongisto , D. Y. Vodolazov

The persistent current for a one-dimensional ring with two tunnel barriers is considered in the limit of weakly interacting electrons. In addition to a small off-resonance current, there are two kinds of resonant behavior; (i) a current…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 I. V. Krive , P. Sandström

We investigate the transport properties of neutral, fermionic atoms passing through a one-dimensional quantum wire containing a mesoscopic lattice. The lattice is realized by projecting individually controlled, thin optical barriers on top…

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 is shown to be…

Condensed Matter · Physics 2007-05-23 I. V. Krive , R. I. Shekhter , S. M. Girvin , M. Jonson

We investigate the properties of persistent charge current driven by magnetic flux in a quasi-periodic mesoscopic Fibonacci ring with Rashba and Dresselhaus spin-orbit interactions. Within a tight-binding framework we work out individual…

Mesoscale and Nanoscale Physics · Physics 2016-04-11 Moumita Patra , Santanu K. Maiti

This work studies the interference of electrons in the presence of a line of magnetic flux surrounded by a normal-conducting mesoscopic cylinder at low temperature. It is found that, while there is a supplementary phase contribution from…

Quantum Physics · Physics 2009-10-30 Silviu Olariu

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

Using the Anderson model in the Kondo regime, we calculate the persistent current j in a ring with an embedded quantum dot (QD) as a function of the Aharonov-Bohm flux Phi for different ring length L, temperature T and broadening of the…

Strongly Correlated Electrons · Physics 2009-11-07 A. A. Aligia

Superconductors are famously capable of supporting persistent electrical currents, that is, currents that flow without any measurable decay as long as the material is kept in the superconducting state. We introduce here a class of materials…

Superconductivity · Physics 2025-07-31 Kyle Monkman , Joan Weng , Niclas Heinsdorf , Alberto Nocera , Marcel Franz

We study persistent currents in semiconductor ballistic rings with spin-orbit Rashba interaction. We use as a working model the multicomponent Tomonaga-Luttinger liquid which arises due to the nonparabolic dispersion relations of electrons…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Pletyukhov , V. Gritsev

This work considers the confining and scattering phenomena of electrons in a Lieb lattice subjected to the influence of a rectangular electrostatic barrier. In this setup, hopping amplitudes between nearest neighbors in orthogonal…

Mesoscale and Nanoscale Physics · Physics 2023-05-24 Vít Jakubský , Kevin Zelaya

Persistent current, or "flow without friction", as well as quantum vortices are the hallmarks of superfluidity. Recently a very long-lived persistent flow of atoms has been experimentally observed in Bose-Einstein condensates trapped in a…

We investigate the persistent spin currents in one- and two-dimensional electron systems with spin-orbit interaction in thermodynamics equilibrium at absolute zero temperature. The persistent spin current is the intrinsic one which is…

Mesoscale and Nanoscale Physics · Physics 2008-03-18 Xiang Zhou , Cheng-Zheng Hu , Zhenyu Zhang , Ling Miao , Xia Wang

Quenching an ultracold bosonic gas in a ring across the Bose-Einstein condensation phase transition is known, and has been experimentally observed, to lead to the spontaneous emergence of persistent currents. The present work examines how…

Quantum Gases · Physics 2020-05-13 Thomas Bland , Quentin Marolleau , Paolo Comaron , Boris Malomed , Nick Proukakis

Motivated by a recent experiment [S. Beattie, S. Moulder, R. J. Fletcher, and Z. Hadzibabic, PRL 110, 025301 (2013)] we study the superflow of atomic spinor Bose-Einstein condensates optically trapped in a ring-shaped geometry. Within a…

Quantum Gases · Physics 2015-06-17 A. I. Yakimenko , K. O. Isaieva , S. I. Vilchinskii , M. Weyrauch

The transfer of charge between different regions of a phase-coherent mesoscopic sample is investigated. Charge transfer from a side branch quantum dot into a ring changes the persistent current through a sequence of plateaus of diamagnetic…

Condensed Matter · Physics 2007-05-23 M. Büttiker , C. A. Stafford

The presence of spin-orbit coupling affects the spontaneously flowing persistent currents in mesoscopic conducting rings. Here we analyze their dependence on magnetic flux with emphasis on identifying possibilities to prove the presence and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Janine Splettstoesser , Michele Governale , Ulrich Zuelicke