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For every conserved quantity written as a sum of local terms, there exists a corresponding current operator that satisfies the continuity equation. The expectation values of current operators at equilibrium define the persistent currents…

Strongly Correlated Electrons · Physics 2022-10-25 Hirokazu Kobayashi , Haruki Watanabe

Persistent currents flowing in spatially closed tracks define one of the most iconic concepts in mesoscopic physics. They have been studied in solid-state platforms such as superfluids, superconductors and metals. Cold atoms trapped in…

Quantum Gases · Physics 2025-07-25 Juan Polo , Wayne Jordan Chetcuti , Tobias Haug , Anna Minguzzi , Kevin Wright , Luigi Amico

It is demonstrated using three-dimensional computer simulations that some simple non-interacting electron models that include electron scattering by grain boundaries, exhibit coexistence of large persistent currents and small conductances,…

Condensed Matter · Physics 2016-08-31 George Kirczenow

We study the current magnification effect and associated circulating currents in mesoscopic systems at equilibrium. Earlier studies have revealed that in the presence of transport current(non-equilibrium situation), circulating currents can…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Colin Benjamin , A. M. Jayannavar

We analyze fluctuations of persistent current (PC) produced by a charged quantum particle moving in a ring and interacting with a dissipative environment formed by diffusive electron gas. We demonstrate that in the presence of interactions…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Andrew G. Semenov , Andrei D. Zaikin

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

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

An expression for the conductance of interacting electrons in the diffusive regime as a function of the ensemble averaged persistent current and the compressibility of the system is presented. This expression involves only ground-state…

Condensed Matter · Physics 2009-10-28 Richard Berkovits , Yshai Avishai

The standard definition of a spin current, applied to the conductors lacking inversion symmetry, results in nonzero spin currents. I demonstrate that the spin currents do not vanish even in the thermodynamic equilibrium, in the absence of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Emmanuel I. Rashba

The quantum dynamics of a two state system coupled to a bosonic reservoir with sub-Ohmic spectral density is investigated for strong friction. Numerically exact path integral Monte Carlo methods reveal that in contrast to conventional…

Statistical Mechanics · Physics 2015-06-04 Denis Kast , Joachim Ankerhold

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

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 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

Persistent currents circulate continuously without requiring external power sources. Here, we extend their theory to include dissipation within the framework of non-Hermitian quantum Hamiltonians. Using Green's function formalism, we…

Quantum Physics · Physics 2024-08-27 Pei-Xin Shen , Zhide Lu , Jose L. Lado , Mircea Trif

Recent discovery of mesoscopic electronic structures, in particular the carbon nanotubes, made necessary an investigation of what effect may helical symmetry of the conductor (metal or semiconductor) have on the persistent current…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Iskin , I. O. Kulik

The ability to carry electric current with zero dissipation is the hallmark of superconductivity. It is this very property which is used in applications from MRI machines to LHC magnets. But, is it indeed the case that superconducting order…

Superconductivity · Physics 2016-10-05 Yu Chen , Yen-Hsiang Lin , Stephen Snyder , Allen Goldman , Alex Kamenev

The persistent current in two vertically coupled quantum rings containing few electrons is studied. We find that the Coulomb interaction between the rings in the absence of tunneling affects the persistent current in each ring and the…

Mesoscale and Nanoscale Physics · Physics 2008-11-30 L. K. Castelano , G. -Q. Hai , B. Partoens , F. M. Peeters

Persistent current is a hallmark of quantum phase coherence. We study the fate of the persistent current in a non-equilibrium setting, where a tight-binding ring is subjected to stochastic disorder as well as a fermionic reservoir attached…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Samudra Sur , Thierry Giamarchi

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

In this work, the current stability is discussed for cosmic strings with the bosonic superconductivity. A non-vanishing curvature of string generally induce the quantum instability of the current-carrying particle. Its decay rates are…

High Energy Physics - Phenomenology · Physics 2023-02-15 Yoshihiko Abe , Yu Hamada , Kota Saji , Koichi Yoshioka