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Relation between the geometry of a two-dimensional sample and its equilibrium physical properties is exemplified here for a system of non-interacting electrons on a Moebius strip. Dispersion relation for a clean sample is derived and its…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kousuke Yakubo , Yshai Avishai , Doron Cohen

We investigate fluctuations of persistent current (PC) in nanorings both with and without dissipation and decoherence. We demonstrate that such PC fluctuations may persist down to zero temperature provided there exists either interaction…

Mesoscale and Nanoscale Physics · Physics 2012-12-04 Andrew G. Semenov , Andrei D. Zaikin

We explore a novel mechanism for control of periodicity in persistent current in a twisted normal metal loop threaded by a magnetic flux $\phi$. A simple tight-binding model is used to describe the system. Quite interestingly we see that,…

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

We present some model calculations of persistent currents in disordered one- and two-dimensional mesoscopic systems. We use the tight-binding model and calculate numerically the currents in small systems for several values of disorder. Next…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Lisowski , E. Zipper

We report measurements of the low temperature magnetic response of a line of 16 GaAs/GaAlAs \emph{connected} mesoscopic rings whose total length is much larger than $l_{\phi}$. Using an on-chip micro-\textsc{squid} technology, we have…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 W. Rabaud , L. Saminadayar , D. Mailly , K. Hasselbach , A. Benoit , B. Etienne

We study theoretically the contribution of fluctuating Cooper pairs to the persistent current in superconducting rings threaded by a magnetic flux. For sufficiently small rings, in which the coherence length $\xi$ exceeds the radius $R$,…

Superconductivity · Physics 2013-11-07 G. Schwiete , Y. Oreg

We re-examine the effect of electron-electron interactions on the persistent current in mesoscopic metal rings threaded by an Aharonov-Bohm flux. The exchange contribution to the current is shown to be determined by the weak localization…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Peter Kopietz , Axel Voelker

In this paper we analyze the possibility of persistent currents of a two-species bosonic mixture in the one-dimensional ring geometry. We extend the arguments used by Bloch to obtain a criterion for the stability of persistent currents for…

Quantum Gases · Physics 2014-03-14 K. Anoshkin , Z. Wu , E. Zaremba

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

Persistent current is a hallmark of quantum phase coherence. We study the fate of the persistent current in a non-equilibrium setting, where a tight-binding ring is subjected to stochastic disorder as well as a fermionic reservoir attached…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Samudra Sur , Thierry Giamarchi

The properties of one-dimensional superconductors are strongly influenced by topological fluctuations of the order parameter, known as phase slips, which cause the decay of persistent current in superconducting rings and the appearance of…

Superconductivity · Physics 2016-11-30 I. Petkovic , A. Lollo , L. I. Glazman , J. G. E. Harris

The persistent current is here studied in one-dimensional disordered rings that contain interacting electrons. We used the density matrix renormalization group algorithms in order to compute the stiffness, a measure that gives the magnitude…

Strongly Correlated Electrons · Physics 2009-11-11 E. Gambetti

A mesoscopic conducting ring pierced by magnetic flux is known to support the persistent electron current. Here we propose possibility of the persistent current in the ring made of the perfect crystalline insulator. We consider a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Antonia Moskova , Martin Mosko , Andrej Gendiar

A novel quantum interference effect in disordered quasi-one-dimensional rings in the inhomogeneous magnetic field is reported. We calculate the canonical disorder averaged persistent current using the diagrammatic perturbation theory. It is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Shiro Kawabata

We have done a study with small, imperfect Hubbard rings with exact diagonalization. The results for few-electron rings show, that the imperfection, whether localized or not, nearly always decrease, but can also \emph{increase} the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. Koskinen , M. Manninen

We analyze fluctuations of persistent current (PC) produced by a charged quantum particle moving in a ring and interacting with a dissipative environment formed by diffusive electron gas. We demonstrate that in the presence of interactions…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Andrew G. Semenov , Andrei D. Zaikin

Persistent currents in a Moebius ladder are shown to be very sensitive to the effects of intrachain interactions on the hopping of electrons between chains. Their periodicity as a function of flux is doubled for strong enough repulsive…

Strongly Correlated Electrons · Physics 2008-02-03 Frederic Mila , Charles Stafford , Sylvain Capponi

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

In this paper, a new mesoscopic polygon which possesses smooth transition at its corners is proposed. Because of the particularity of structure, this kind of mesoscopic polygon can also be a geometrical supperlattice. The geometrical…

Mesoscale and Nanoscale Physics · Physics 2009-03-03 Shengli Zhang , Qi Wang , Erhu Zhang

We consider classical hard-core particles moving on two parallel chains in the same direction. An interaction between the channels is included via the hopping rates. For a ring, the stationary state has a product form. For the case of…

Statistical Mechanics · Physics 2011-07-13 Vladislav Popkov , Ingo Peschel
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