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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

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

We consider a one-dimensional mesoscopic Hubbard ring with and without disorder and compute charge and spin stiffness as a measure of the permanent currents. For finite disorder we identify critical disorder strength beyond which the charge…

Condensed Matter · Physics 2009-10-28 Rudolf A. Römer , Alexander Punnoose

We present a detailed study of persistent current and low-field magnetic susceptibility in single isolated normal metal mesoscopic rings and cylinders in the tight-binding model with higher order hopping integral in the Hamiltonian. Our…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 Santanu K. Maiti , J. Chowdhury , S. N. Karmakar

Persistent current in one-dimensional non-superconducting mesoscopic rings threaded by a slowly varying magnetic flux $\phi$ is studied based on the tight-binding model. The behavior of the persistent current is discussed in three aspects:…

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

Recently, new strongly interacting phases have been uncovered in mesoscopic systems with chaotic scattering at the boundaries by two of the present authors and R. Shankar. This analysis is reliable when the dimensionless conductance of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Damir Herman , Harsh Mathur , Ganpathy Murthy

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

A tight-binding model of electron dynamics in mesoscopic normal rings is studied using boundary conformal field theory. The partition function is calculated in the low energy limit and the persistent current generated as a function of an…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Jaimungal , M. H. S. Amin , G. Rose

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

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

In this work, we study persistent current in a mesoscopic cylinder subjected to both longitudinal and transverse magnetic fluxes. A simple tight-binding model is used to describe the system, where all the calculations are performed exactly…

Mesoscale and Nanoscale Physics · Physics 2009-06-29 Santanu K. Maiti , F. Aeenehvand

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 ensemble averaged persistent current on disordered mesoscopic rings with an embedded quantum dot. We model the quantum dot as a single resonance and use Random Matrix Theory to model the impurities in the ring. Using…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. H. Martins Ferreira , M. C. Nemes , H. A. Weidenmueller

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…

Persistent current and low-field magnetic susceptibility in single-channel normal metal rings threaded by a magnetic flux $\phi$ are investigated within the tight-binding framework considering long-range hopping of electrons in the {\em…

Mesoscale and Nanoscale Physics · Physics 2009-09-15 Santanu K. Maiti

The set of moments and the distribution function of the one-electron current in a one-dimensional disordered ring with arbitrary magnetic flux are calculated.

Condensed Matter · Physics 2009-10-22 A. S. Cattaneo , A. Gamba , I. V. Kolokolov

We report a class of {\it integrable} one-dimensional interacting electronic sy$ with {\it off-diagonal disorder}. For these systems, the disorder can be ``gauged away,''and the spectrum can be mapped completely onto the spectrum of the…

Condensed Matter · Physics 2016-08-31 A. H. Castro Neto , D. K. Campbell , Philip Phillips

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

The persistent current in a clean mesoscopic ring with ballistic electron motion is calculated. The particle dynamics inside a ring is assumed to be chaotic due to scattering at the surface irregularities of atomic size. This allows one to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. V. Samokhin

We investigate one dimensional tight binding model in the presence of a correlated binary disorder. The disorder is due to the interaction of particles with heavy immobile other species. Off-diagonal disorder is created by means of a fast…

Disordered Systems and Neural Networks · Physics 2016-10-25 Arkadiusz Kosior , Jan Major , Marcin Płodzień , Jakub Zakrzewski
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