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Measurements performed on superconductive networks shaped in the form of planar graphs display anomalously large currents when specific branches are biased. The temperature dependencies of these currents evidence that their origin is due to…

Measurements indicating that planar networks of superconductive islands connected by Josephson junctions display long range quantum coherence are reported. The networks consist of superconducting islands connected by Josephson junctions and…

We show how to induce pairing of Cooper pairs (and, thus, $4e$ superconductivity) as a result of local embedding of a quantum impurity in a Josephson network fabricable with conventional junctions. We find that a boundary double Sine-Gordon…

Strongly Correlated Electrons · Physics 2015-05-13 D. Giuliano , P. Sodano

We analyze tunneling of Cooper pairs across voltage biased asymmetric single-Cooper-pair transistors. Also tunneling of Cooper pairs across two capacitively coupled Cooper-pair boxes is considered, when the capacitive coupling and Cooper…

Superconductivity · Physics 2007-05-23 J. Leppäkangas , E. Thuneberg , R. Lindell , P. Hakonen

We study a time-reversal-invariant topological superconductor island hosting spatially separated Majorana Kramers pairs, with weak tunnel couplings to two s-wave superconducting leads. When the topological superconductor island is in the…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Constantin Schrade , Liang Fu

We consider a finite-size topological Josephson junction formed at the edge of a two-dimensional topological insulator in proximity to conventional superconductors and study the impact of Cooper pair symmetries on the electron transport. We…

Superconductivity · Physics 2022-09-13 Jorge Cayao , Paramita Dutta , Pablo Burset , Annica M. Black-Schaffer

Transportation of Cooper-pairs by a movable single Cooper-pair-box placed between two remote superconductors is shown to establish coherent coupling between them. This coupling is due to entanglement of the movable box with the leads and is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Isacsson , L. Y. Gorelik , R. I. Shekhter , Y. M. Galperin , M. Jonson

We investigate the properties of Josephson junction networks with inhomogeneous architecture. The networks are shaped as "quare comb" planar lattices on which Josephson junctions link superconducting islands arranged in the plane to…

In this paper, we consider a system consisting of two capacitively coupled superconducting islands via Josephson junctions. We show that it can be reduced to two coupling harmonic oscillators under certain conditions, and solved exactly in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mou Yang , Le-Man Kuang

We report on phenomena observed in planar integrated networks obtained connecting superconducting island by Josephson tunnel junctions. These networks, identifiable as tree-like graphs, have branches consisting of series arrays of Josephson…

Superconductivity · Physics 2020-03-24 M. Lucci , D. Cassi , V. Merlo , R. Russo , G. Salina , M. Cirillo

The most profound effect of disorder on electronic systems is the localization of the electrons transforming an otherwise metallic system into an insulator. If the metal is also a superconductor then, at low temperatures, disorder can…

Superconductivity · Physics 2011-03-07 B. Sacepe , T. Dubouchet , C. Chapelier , M. Sanquer , M. Ovadia , D. Shahar , M. Feigel'man , L. Ioffe

Thin layers of topological insulator materials are quasi-two-dimensional systems featuring a complex interplay between quantum confinement and topological band structure. To understand the role of the spatial distribution of carriers in…

Materials Science · Physics 2020-03-02 Martin P. Stehno , Prosper Ngabonziza , Hiroaki Myoren , Alexander Brinkman

It is well established that superconductivity is based on a coherent quantum state of Cooper pairs with charge 2e, and this is equally true of the Josephson effect. In contrast, Kadin recently presented an alternative real-space model of…

Superconductivity · Physics 2010-08-02 Alan M. Kadin

Advances in materials and fabrication of superconducting devices allows the exploration of novel quantum effects in synthetic superconducting systems beyond conventional Josephson junction arrays. As an example, we introduce a new circuit…

Superconductivity · Physics 2025-10-08 Guilherme Delfino , Dmitry Green , Saulius Vaitiekėnas , Charles M. Marcus , Claudio Chamon

We generalize the Cooper problem to the case of many interacting particles in the vicinity of the Fermi level in the presence of disorder. On the basis of this approach we study numerically the variation of the pair coupling energy in small…

Condensed Matter · Physics 2009-11-07 J. Lages , G. Benenti , D. L. Shepelyansky

We introduce a new approach to the Josephson effect in SIS tunnel junctions. The Josephson coupling energy is calculated from the overlap of real space Cooper pair wavefunctions in two superconductors through an insulating barrier. It is…

Superconductivity · Physics 2007-05-23 Yong-Jihn Kim

Josephson junctions are the most prominent nondissipative and at the same time nonlinear elements in superconducting circuits allowing Cooper pairs to tunnel coherently between two superconductors separated by a tunneling barrier. Due to…

Mesoscale and Nanoscale Physics · Physics 2016-09-07 Daniel Otten , Sebastian Rubbert , Jascha Ulrich , Fabian Hassler

Remarkably, complex assemblies of superconducting wires, electrodes, and Josephson junctions are compactly described by a handful of collective phase degrees of freedom that behave like quantum particles in a potential. The inductive wires…

We present a particle-number conserving theory for many-body effects in mesoscopic superconducting islands connected to normal electrodes, which explicitly includes quantum fluctuations of Cooper pairs in the condensate. Beyond previous BCS…

Strongly Correlated Electrons · Physics 2025-09-05 Tie-Feng Fang , Ai-Min Guo , Qing-Feng Sun

The coupling of Josephson oscillations in layered superconductors is studied with help of a tunneling Hamiltonian formalism. The general form of the current density across the barriers between the superconducting layers is derived. The…

Superconductivity · Physics 2015-06-25 Ch. Preis , Ch. Helm , J. Keller , A. Sergeev , R. Kleiner
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