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The persistent current in small isolated rings enclosing magnetic flux is the current circulating in equilibrium in the absence of an external excitation. While initially studied in superconducting and normal metals, recently, atomic…

Quantum Gases · Physics 2022-03-08 Ovidiu I. Patu , Dmitri V. Averin

We extend previous theoretical studies of the contribution of fluctuating Cooper pairs to the persistent current in superconducting rings subjected to a magnetic field. For sufficiently small rings, in which the coherence length $\xi$…

Mesoscale and Nanoscale Physics · Physics 2013-11-07 Georg Schwiete , Yuval Oreg

Using the properties of the transfer matrix of one-dimensional quantum mechanical systems, we derive a technique to exactly compute the persistent current across a hybrid normal-superconducting-mesoscopic ring pierced by a magnetic flux Phi…

Strongly Correlated Electrons · Physics 2016-11-16 Andrea Nava , Rosa Giuliano , Gabriele Campagnano , Domenico Giuliano

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 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

Equilibrium persistent current carried by a small ferromagnet-metal loop is considered. This current is shown to be quasi periodic in temperature at low temperatures. The quasi period is determined mainly by the temperature dependence of…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 R. G. Mints

We explore the behavior of persistent current and low-field magnetic response in mesoscopic one-channel rings and multi-channel cylinders within the tight-binding framework. We show that the characteristic properties of persistent current…

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

In this paper, we study the zero temperature persistent current in a ferromagnetic Kondo lattice model in the strong coupling limit. In this model, there are spontaneous spin textures at some values of the external magnetic flux. These spin…

Strongly Correlated Electrons · Physics 2009-10-30 Jun Zang , S. A. Trugman , A. R. Bishop , H. Röder

The magnetic properties and nature of the persistent current in small flux-penetrated $t-t'-U$ rings are investigated. An effective rigid-rotator description is formulated for this system, which coincides with a transition to a…

Strongly Correlated Electrons · Physics 2009-11-13 Y. Hancock , J. Suorsa , E. Tölö , A. Harju

We propose four different mechanisms responsible for paramagnetic or diamagnetic persistent currents in normal metal rings and determine the circumstances for change of the current from paramagnetic to diamagnetic ones and {\it vice versa}.…

Mesoscale and Nanoscale Physics · Physics 2010-10-19 Lukasz Machura , Szymon Rogozinski , Jerzy Luczka

Persistant current in isolated mesoscopic rings is studied using the continium and tight-binding models of independent electrons. The calculation is performed with disorder and also at finite temperature. In the absence of disorder and at…

Condensed Matter · Physics 2009-10-22 J. F. Weisz , R. Kishore , Feodor V. Kusmartsev

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 a mesoscopic metallic ring threaded by a magnetic flux which varies linearly in time PhiM(t)=Phi t with a formalism based in Baym-Kadanoff-Keldysh non-equilibrium Green functions. We propose a method to calculate the Green…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 L. Arrachea

We explore electron transport in a thin cylinder, attached to two semi-infinite one-dimensional metallic electrodes, in the presence of both longitudinal and transverse magnetic fluxes. A simple tight-binding model is used to describe the…

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

We report the first calculation of persistent current in two coupled rings which form a character ``8'' genus g=2 structure. We obtain an exact solution for the persistent current and investigated the exact solution numerically. For two…

Mesoscale and Nanoscale Physics · Physics 2007-12-24 D. Schmeltzer

The periodic response of a metallic or a superconducting ring to an external magnetic flux is one of the most evident manifestations of quantum mechanics. It is generally understood that the oscillation period hc/2e in the superconducting…

Superconductivity · Physics 2012-06-11 Florian Loder , Arno P. Kampf , Thilo Kopp

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 ground state of a phase-coherent mesoscopic system is sensitive to its environment. We investigate the persistent current of a ring with a quantum dot which is capacitively coupled to an external circuit with a dissipative impedance. At…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Pascal Cedraschi , Vadim V. Ponomarenko , Markus 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 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