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We consider a bidimensional discrete annular cavity with surface roughness (SR) threaded by a magnetic flux. In the ballistic regime and at half filling, localized border-states show up. These border states contribute coherentely to the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. M. Apel , M. J. Sánchez , G. Chiappe

The persistent current is here studied in one-dimensional disordered rings that contain interacting electrons. We used the density matrix renormalization group algorithms in order to compute the stiffness, a measure that gives the magnitude…

Strongly Correlated Electrons · Physics 2009-11-11 E. Gambetti

Typical persistent current ($I_{typ}$) in a normal metal ring with disorder due to random grain boundaries and rough edges is calculated microscopically. If disorder is due to the rough edges, a ballistic current $I_{typ}\simeq e v_F/L$ is…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 J. Feilhauer , M. Mosko

The effect of disorder on confined metallic cavities with an Aharonov-Bohm flux line is addressed. We find that, even deep in the diffusive regime, large values of persistent currents may arise for a wide variety of geometries. We present…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 G. Chiappe , M. J. Sánchez

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

Persistent currents in mesoscopic normal metal rings represent, even a decade after their first experimental observation, a challenge to both, theorists and experimentalists. After giving a brief review of the existing -- experimental and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Eckern , P. Schwab

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

Confinement can significantly alter fluid properties, offering potential for specific technological applications. However, achieving precise control over the structural complexity of confined fluids and soft matter remains challenging, as…

Soft Condensed Matter · Physics 2024-11-20 Fabio Leoni , Erdal C. Oğuz , Giancarlo Franzese

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

Persistent currents in disordered mesoscopic rings threaded by a magnetic flux are calculated using exact diagonalization methods in the one-dimensional (1D) case and self-consistent Hartree-Fock treatments for two dimensional (2D) systems.…

Condensed Matter · Physics 2008-02-03 Georges Bouzerar , Didier Poilblanc

We consider two-dimensional (2D) Dirac quantum ring systems formed by the infinite mass constraint. When an Aharonov-Bohm magnetic flux is present, e.g., through the center of the ring domain, persistent currents, i.e., permanent currents…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Lei Ying , Ying-Cheng Lai

We study the influence of disorder strength on the interface roughening process in a phase-field model with locally conserved dynamics. We consider two cases where the mobility coefficient multiplying the locally conserved current is either…

Disordered Systems and Neural Networks · Physics 2009-11-13 T. Laurila , M. Pradas , A. Hernandez-Machado , T. Ala-Nissila

We study the effects of the confining conditions on the occurrence of stochastic resonance (SR) in continuous bistable systems. We model such systems by means of double-well potentials that diverge like the q-th power of |x| when |x| goes…

Statistical Mechanics · Physics 2015-05-13 Els Heinsalu , Marco Patriarca , Fabio Marchesoni

We describe a "train" effect which may exist in small metallic and semiconductor rings and might be associated with the long-standing problem of the persistent current enhancement. The current is associated with the cooperative motion of N…

Condensed Matter · Physics 2007-05-23 F. V. Kusmartsev

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 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

In this paper, we explore the persistent current in thin superconducting wires and accurately examine the effects of the phase slips on that current. The main result of the paper is the formula for persistent current in terms of the…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 Ilya Vilkoviskiy

The electronic transport in a system of two quantum rings side-coupled to a quantum wire is studied via a single-band tunneling tight-binding Hamiltonian. We derived analytical expressions for the conductance, density of states and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. A. Orellana , M. Pacheco

In this paper, we investigate the effect of boundary surface roughness on numerical simulations of incompressible fluid flow past a cylinder in two and three spatial dimensions furnished with slip boundary conditions. The governing…

Fluid Dynamics · Physics 2025-11-05 Matthias Maier , Peter Munch , Murtazo Nazarov

The persistent current $I$ in integrable models of multichannel rings with both short- and long-ranged interactions is investigated. $I$ is found to oscillate in sign and increase in magnitude with increasing interaction strength due to…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 C. A. Stafford , D. F. Wang
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