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The persistent current in three-dimensional mesoscopic rings is investigated numerically. The model is tight-binding one with random site-energies and interaction between electrons. The self-consistent Hartree-Fock approximation is adopted…

Condensed Matter · Physics 2016-08-31 D. Yoshioka , H. Kato

Effects of Coulomb interaction on persistent currents in disordered one-dimensional rings are numerically investigated. First of all effectiveness of the Hartree-Fock approximation is established on small systems. Then the calculations are…

Condensed Matter · Physics 2009-10-22 H. Kato , D. Yoshioka

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

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

Persistent currents of disordered multichannel mesoscopic rings of spinless interacting fermions threaded by a magnetic flux are calculated using exact diagonalizations and self-consistent Hartree-Fock methods. The validity of the…

Condensed Matter · Physics 2009-10-22 Georges BOUZERAR , Didier POILBLANC

For a system of spinless fermions in a disordered mesoscopic ring, interactions can give rise to an enhancement of the persistent current by orders of magnitude. The increase in the current is associated with a charge reorganization of the…

Strongly Correlated Electrons · Physics 2009-10-31 A. Kambili , C. J. Lambert , J. H. Jefferson

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

We analyzed the Hartree-Fock approximation for an electron system. The interaction between particles is modeled by a non-Coulombian potential. We analyzed both the three-dimensional and two-dimensional systems. We obtained accurate…

Quantum Gases · Physics 2024-08-28 Vlad-Mihai Ene , Ilinca Lianu , Ioan Grosu

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.

Persistent currents in mesoscopic metallic rings induced by static magnetic fields are investigated by means of a Hamiltonian which incorporates diagonal disorder and the electron-electron interaction through a Hubbard term ($U$).…

Condensed Matter · Physics 2016-08-15 G. Chiappe , J. A. Vergés , E. Louis

The behavior of persistent current in a mesoscopic cylinder threaded by an Aharonov-Bohm flux $\phi$ is carefully investigated within a Hartree-Fock mean field approach. We examine the combined effect of second-neighbor hopping integral and…

Mesoscale and Nanoscale Physics · Physics 2011-07-26 Santanu K. Maiti

We develop a Luttinger liquid theory of the Coulomb drag of persistent currents flowing in concentric mesoscopic rings, by incorporating non-linear corrections to the electron dispersion relation. We demonstrate that at low temperatures,…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 T. V. Shahbazyan , S. E. Ulloa

We study the effect of strong electron-electron interactions on the persistent current in a multichannel ring with the aid of Bosonization and the Bethe ansatz equation discussed by Sutherland and Tsvelik. The interaction acts differently…

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

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

The currents at the terminals of a mesoscopic conductor are evaluated in the presence of slowly oscillating potentials applied to the contacts of the sample. The need to find a charge and current conserving solution to this dynamic current…

Condensed Matter · Physics 2009-10-22 M. Buttiker

Recent precision measurements of mesoscopic persistent currents in normal-metal rings rely on the interaction between the magnetic moment generated by the current and a large applied magnetic field. Motivated by this technique, we extend…

We have computed persistent currents in a disordered mesoscopic ring in the presence of small electron-electron interactions, treated in first order perturbation theory. We have investigated both a contact (Hubbard) and a nearest neighbour…

Condensed Matter · Physics 2009-10-22 Michel Ramin , Bertrand Reulet , Helene Bouchiat

The average persistent current <I> of diffusive electrons in the Hartree-Fock approximation is derived in a simple non-diagrammatic picture. The Fourier expansion directly reflects the winding number decomposition of the diffusive motion…

Condensed Matter · Physics 2009-10-28 Gilles Montambaux

We calculate energy spectra of a two-dimensional electron system in a perpendicular magnetic field and periodic potentials of short periods. The Coulomb interaction is included within a screened Hartree-Fock approximation. The electrostatic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Andrei Manolescu , Vidar Gudmundsson

We reanalyze the condition for metallic ferromagnetism in the framework of the tight-binding approximation and investigate the consequences of the inter-site Coulomb interactions using the Hartree-Fock approximation. We first consider a…

Materials Science · Physics 2009-11-10 Cyrille Barreteau , Daniel Spanjaard , Marie-Catherine Desjonqueres , Andrzej Oles
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