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We have measured the persistent current in individual normal metal rings over a wide range of magnetic fields. From this data, we extract the first six cumulants of the single-ring persistent current distribution. Our results are consistent…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 M. A. Castellanos-Beltran , D. Q. Ngo , W. E. Shanks , A. B. Jayich , J. G. E. Harris

Typical persistent current ($I_{typ}$) in a mesoscopic normal metal ring with disorder due to rough edges and random grain boundaries is calculated by a scattering matrix method. In addition, resistance of a corresponding metallic wire is…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 J. Feilhauer , M. Mosko

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

Recently it has been observed that the conductance fluctuations of atomic size gold contacts are suppressed when the conductance is equal to an integer multiple of the conductance quantum. The fact that these contacts tend to consist…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. Ludoph , J. M. van Ruitenbeek

In this work, I present measurements of persistent currents in normal metal rings performed with cantilever torsional magnetometry. With this technique, the typical persistent current (the component that varies randomly from ring to ring)…

Mesoscale and Nanoscale Physics · Physics 2011-12-16 William E. Shanks

We assess the viability of topological semimetals for application in advanced interconnect technology, where conductor size is on the order of a few nanometers and grain boundaries are expected to be prevalent. We investigate the electron…

Materials Science · Physics 2022-09-23 Nicholas A. Lanzillo , Utkarsh Bajpai , Ion Garate , Ching-Tzu Chen

A mesoscopic conducting ring pierced by magnetic flux is known to support the persistent electron current. Here we propose possibility of the persistent current in the ring made of the perfect crystalline insulator. We consider a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Antonia Moskova , Martin Mosko , Andrej Gendiar

The ground state of a phase-coherent mesoscopic system is sensitive to its environment. We investigate the persistent current of a ring with a quantum dot which is capacitively coupled to an external circuit with a dissipative impedance. At…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Pascal Cedraschi , Vadim V. Ponomarenko , Markus Buttiker

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 have developed a multi-scale self-consistent method to study the charge conductivity of a porous system or a metallic matrix alloyed by randomly distributed nonmetallic grains and vacancies by incorporating Schr\"{o}dinger's equation and…

Materials Science · Physics 2023-02-16 Elham Sharafedini , Hossein Hamzehpour , Mohammad Alidoust

Others have solved the Schr\"odinger equation to estimate the tunneling current between two electrodes at specified potentials, or the transmission through a potential barrier, assuming that an incident wave causes one reflected wave and…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 Mark J. Hagmann

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

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

The general expression for the persistent current of 1D noninteracting electrons in a disorder potential with smooth scattering data is derived for zero temperature. On the basis of this expression the parity effects are discussed. It is…

Condensed Matter · Physics 2009-10-22 Alexander O. Gogolin , Nikolai V. Prokof'ev

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

Notwithstanding the discreteness of metallic constrictions, it is shown that the finite elasticity of stable, single-atom gold constrictions allows for a continuous and reversible change in conductance, thereby enabling observation of…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Jason N. Armstrong , R. M. Schaub , Susan Z. Hua , Harsh Deep Chopra

We explore the behavior of persistent current and low-field magnetic response in mesoscopic one-channel rings and multi-channel cylinders within the tight-binding framework. We show that the characteristic properties of persistent current…

Mesoscale and Nanoscale Physics · Physics 2009-05-20 Santanu K. Maiti

We study the persistent currents induced by the Aharonov-Bohm effect in a closed ring which either embeds or is directly side coupled to a quantum dot at Kondo resonance. We predict that in both cases, the persistent current is very…

Strongly Correlated Electrons · Physics 2009-11-07 P. Simon , I. Affleck

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

Electron tunneling through mesoscopic metallic grains can be treated perturbatively only provided the tunnel junction conductances are sufficiently small. If it is not the case, fluctuations of the grain charge become strong. As a result…

Condensed Matter · Physics 2009-10-28 D. S. Golubev , A. D. Zaikin