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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 study the persistent current in a system of SU($N$) fermions with repulsive interaction confined in a ring-shaped potential and pierced by an effective magnetic flux. By applying a combination of Bethe ansatz and numerical analysis, we…

Quantum Gases · Physics 2022-01-26 Wayne J. Chetcuti , Tobias Haug , Leong-Chuan Kwek , Luigi Amico

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 investigate the properties of persistent charge current driven by magnetic flux in a quasi-periodic mesoscopic Fibonacci ring with Rashba and Dresselhaus spin-orbit interactions. Within a tight-binding framework we work out individual…

Mesoscale and Nanoscale Physics · Physics 2016-04-11 Moumita Patra , Santanu K. Maiti

In this paper, we investigate the ground state of two-dimensional disordered cylinders which contain spinless, interacting electrons using the Hartree-Fock approximation. Calculations of the deviation of the polarization from uniformity…

Condensed Matter · Physics 2007-05-23 A. Kambili , H. Fehrmann , C. J. Lambert , J. H. Jefferson

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

We consider a disordered system of gapless fermions interacting with a singular transverse (2+1)-dimensional gauge-field. We study quantum corrections to fermion conductivity and show that they are very different from those in a Fermi…

Strongly Correlated Electrons · Physics 2009-11-11 Victor Galitski

We put forward a new approach based on Green's function formalism to evaluate precisely persistent charge and spin currents in an Aharonov-Bohm ring subjected to Rashba and Dresselhaus spin-orbit interactions. Unlike conventional methods…

Mesoscale and Nanoscale Physics · Physics 2014-08-19 Santanu K. Maiti , Moumita Dey , S. N. Karmakar

In this work we explore magnetic response of interacting electrons in a spatially non-uniform disordered system, where impurities are introduced in one sector of the geometry keeping the other one free. The interaction among the electrons…

Mesoscale and Nanoscale Physics · Physics 2021-12-02 Arpita Koley , Santanu K. Maiti

We investigate currents in a quantum ring threaded by a magnetic flux which can be varied in an arbitrary way from an initial value $\phi_i$ at time $t_i$ to a final value $\phi_f$ at time $t_f$. Dynamics of electrons in the ring is…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 M. Mierzejewski , J. Dajka , J. Łuczka

Using the self--consistent Hartree-Fock approximation for electrons with spin at zero temperature, we study the effect of the electronic interactions on the charge distribution in a one-dimensional continuous ring containing a single…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Avraham Cohen , Klaus Richter , Richard Berkovits

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

We have studied the Aharonov-Bohm flux-induced magnetic response of a disordered non-Hermitian ring. The disorder is introduced through an on-site quasiperiodic potential described by the Aubry-Andr\'{e}-Harper (AAH) model, incorporating a…

Mesoscale and Nanoscale Physics · Physics 2025-07-16 Suparna Sarkar , Soumya Satpathi , Swapan K. Pati

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

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

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

The persistent currents driven by the pure Aharonov-Bohm type magnetic field in mesoscopic normal metal or semiconducting cylinders are studied. A two-dimensional (2D) Fermi surfaces are characterized by four parameters. Several conditions…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Stebelski , M. Szopa , E. Zipper

We consider the consequences for circulating-current states of a cyclic, four-spin, ``ring-exchange'' interaction of the type shown recently to be significant in cuprate systems. The real-space Hartree-Fock approach is used to establish the…

Strongly Correlated Electrons · Physics 2009-11-10 B. Normand , Andrzej M. Oles

In the presence of quenched disorder, the interplay between local magnetic-moment formation and Anderson localization for electrons at a zero-temperature, metal-insulator transition (MIT) remains a long unresolved problem. Here, we study…

Disordered Systems and Neural Networks · Physics 2024-10-17 Xinghai Zhang , Matthew S. Foster

The ground state persistent current and electron addition spectrum in two-dimensional quantum dot arrays and one-dimensional quantum dot rings, pierced by an external magnetic flux, are investigated using the extended Hubbard model. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. Kotlyar , C. A. Stafford , S. Das Sarma