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The effect of the Coulomb-interaction on persistent currents in disordered mesoscopic metal rings threaded by a magnetic flux $\phi$ is studied numerically. We use the simplest form of ``self-consistent'' Hartree theory, where the spatial…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Axel Voelker , Peter Kopietz

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 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

To understand the role of electron correlation and disorder on persistent currents in isolated 1D rings threaded by magnetic flux $\phi$, we study the behavior of persistent currents in aperiodic and ordered binary alloy rings. These…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Santanu K. Maiti , J. Chowdhury , S. N. Karmakar

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

Using the persistent current I induced by an Aharonov-Bohm flux in square lattices with random potentials, we study the interplay between electronic correlations and disorder upon the ground state (GS) of a few polarized electrons (spinless…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Zoltan Adam Nemeth , Jean-Louis Pichard

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 study analytically the effect of a correlated random potential on the persistent current in a one-dimensional ring threaded by a magnetic flux $\phi$, using an Anderson tight-binding model. In our model, the system of $N=2M$ atomic sites…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Heinrichs

We study effects of local electron interactions on the persistent current of one dimensional disordered rings. For different realizations of disorder we compute the current as a function of Aharonov-Bohm flux to zeroth and first orders in…

Condensed Matter · Physics 2009-10-28 Michael Kamal , Ziad H. Musslimani , Assa Auerbach.

The persistent current of correlated electrons in a continuous one-dimensional ring with a single scatterer is calculated by solving the many-body Schrodinger equation for several tens of electrons interacting via the electron-electron…

Mesoscale and Nanoscale Physics · Physics 2008-03-31 Roman Krcmar , Andrej Gendiar , Martin Mosko , Radoslav Nemeth , Pavel Vagner , Lubos Mitas

We present numerical results for the zero temperature persistent currents carried by interacting spinless electrons in disordered one dimensional continuous rings. The disorder potential is described by a collection of delta-functions at…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 A. Cohen , R. Berkovits , A. Heinrich

We calculate the orbital linear magnetic response of disordered metallic rings to an Aharonov-Bohm flux using the BCS model for attractive electron-electron interaction. The contribution of all levels including those up to a high energy…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Schechter , Y. Oreg , Y. Imry , Y. Levinson

We present an extensive analytical study of persistent current in a weakly disordered two-chain cylindrical ring threaded by an Aharonov-Bohm flux $0 < \phi <\phi_0/2$ (with $\phi_0$ the flux quantum) and described by the Anderson model.…

Disordered Systems and Neural Networks · Physics 2015-05-27 Jean Heinrichs

We use the exact correlation function of the density of energy levels in the magnetic field to evaluate persistent currents in mesoscopic metals. We also analyze the perturbation theory limit of the correlation function vis-a-vis the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Sitotaw , R. A. Serota

We reconsider the study of persistent currents in a disordered one-dimensional ring threaded by a magnetic flux, using he one-band tight-binding model for a ring of N-sites with random site energies. The secular equation for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Heinrichs

This is a review of the properties of spectral fluctations in disordered metals, their relation with Random Matrix Theory and semiclassical picture. We also review the physics of persistent currents in mesoscopic isolated rings, the…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Gilles Montambaux

Persistent currents flowing through disordered mesoscopic rings threaded by a magnetic flux are investigated. Models of fermions with on-site interactions (Hubbard model) or models of spinless fermions with nearest neighbor interactions are…

Condensed Matter · Physics 2007-05-23 Georges Bouzerar , Didier Poilblanc

The pattern of branched electron flow revealed by scanning gate microscopy shows the distribution of ballistic electron trajectories. The details of the pattern are determined by the correlated potential of remote dopants with an amplitude…

Mesoscale and Nanoscale Physics · Physics 2018-07-12 B A Braem , C Gold , S Hennel , M Röösli , M Berl , W Dietsche , W Wegscheider , K. Ensslin , T Ihn

We have studied numerically several statistical properties of the spectra of disordered electronic systems under the influence of an Aharonov Bohm flux $\varphi$, which acts as a time--reversal symmetry breaking parameter. The distribution…

Condensed Matter · Physics 2009-10-22 Daniel Braun , Gilles Montambaux

The effect of point defects on persistent currents in mesoscopic systems is studied in a simple tight-binding model. Using an analogy with the treatment of the critical quantum Ising chain with defects, conformal invariance techniques are…

Statistical Mechanics · Physics 2009-10-31 Malte Henkel , Dragi Karevski
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