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A coherent hybrid of states with different number of Cooper pairs can be built in a superconductor grain as a result of periodically repeated discrete encounters with bulk superconductor leads. As a direct manifestation of such states a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. Y. Gorelik , A. Isacsson , Y. M. Galperin , R. I. Shekhter , M. Jonson

We consider a long superconductor-ferromagnet-superconductor junction with one spin-active region. It is shown that an \textit{odd} number of Cooper pairs cannot have a long-range propagation when there is \textit{only one} spin-active…

Superconductivity · Physics 2015-03-18 Luka Trifunovic

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

It is generally believed that in a superconducor Cooper pairs are broken at above-critical current region, corresponding to the lost of superconductivity. We suggest that, under some circumstance, Cooper pairs could still exist above…

Superconductivity · Physics 2012-03-07 Yongle Yu

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 propose a scenario for superconductivity at strong electron-electron attractive interaction, in the case when the increase of the interaction strength promotes the nucleation of the local Cooper pairs and forms a state with a spatially…

Superconductivity · Physics 2025-08-27 A. A. Zyuzin , A. Yu. Zyuzin

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

The two electrons of a Cooper pair in a conventional superconductor form a singlet and therefore a maximally entangled state. Recently, it was demonstrated that the two particles can be extracted from the superconductor into two spatially…

Mesoscale and Nanoscale Physics · Physics 2012-10-10 J. Schindele , A. Baumgartner , C. Schönenberger

We study correlated transport in a Josephson junction array for small Josephson energies. In this regime transport is dominated by Cooper-pair hopping, although we observe that quasiparticles can not be neglected. We assume that the energy…

Mesoscale and Nanoscale Physics · Physics 2014-08-28 Jared H. Cole , Juha Leppäkangas , Michael Marthaler

We theoretically study tunneling of Cooper pairs from a superconductor spanning a two-dimensional topological insulator strip into its helical edge states. The coherent low-energy electron-pair tunneling sets off positive current cross…

Mesoscale and Nanoscale Physics · Physics 2010-12-06 Koji Sato , Daniel Loss , Yaroslav Tserkovnyak

We study a superconducting single-charge transistor, where the coherence of Cooper pair tunneling is destroyed by the coupling to a tunable dissipative environment. Sequential tunneling and cotunneling processes are analyzed to construct…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Frank K. Wilhelm , Gerd Schoen , Gergely T. Zimanyi

We consider a Josephson bijunction consisting of three superconducting reservoirs connected through two quantum dots. In equilibrium, the interdot coupling is sizable only for distances smaller than the superconducting coherence length.…

Mesoscale and Nanoscale Physics · Physics 2023-12-04 Andriani Keliri , Benoît Douçot

We discuss coherent transport of Cooper pairs through a Cooper pair shuttle. We analyze both the DC and AC Josephson effect in the two limiting cases where the charging energy $E_C$ is either much larger or much smaller than the Josephson…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alessandro Romito , Simone Montangero , Rosario Fazio

We study the critical Josephson current flowing through a double quantum dot weakly coupled to two superconducting leads. We use analytical as well as numerical methods to investigate this setup in the limit of small and large bandwidth…

Mesoscale and Nanoscale Physics · Physics 2016-11-02 B. Probst , F. Domínguez , A. Schroer , A. Levy Yeyati , P. Recher

Superconductivity can be understood in terms of a phase transition from an uncorrelated electron gas to a condensate of Cooper pairs in which the relative phases of the constituent electrons are coherent over macroscopic length scales. The…

Superconductivity · Physics 2018-01-03 Alberto Ronzani , Carles Altimiras , Sophie D'Ambrosio , Pauli Virtanen , Francesco Giazotto

Superconducting circuits present a promising platform with which to realize a quantum refrigerator. Motivated by this, we fabricate and perform spectroscopy of a gated Cooper-pair box, capacitively coupled to two superconducting coplanar…

We consider two chains of ultrasmall Josephson junctions, coupled capacitively with each other, and investigate the transport of particle-hole pairs and the quantum phase transitions at zero temperature. For appropriate parameter ranges,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mahn-Soo Choi , M. Y. Choi , Sung-Ik Lee

Superconducting diodes, devices that allow Cooper-pair currents to flow more easily in one direction than the other, are set to become key building blocks for dissipationless electronics. Existing realizations, however, rely on magnetic…

Mesoscale and Nanoscale Physics · Physics 2026-03-12 Jon Ortuzar , Stefano Trivini , Leonard Edens , F. Sebastian Bergeret , Jose Ignacio Pascual

We study the transport properties of a serial double quantum dot (DQD) coupled to two superconducting leads, focusing on the Josephson current through the DQD and the associated 0-$\pi$ transitions which result from the subtle interplay…

Mesoscale and Nanoscale Physics · Physics 2011-03-31 Rok Zitko , Minchul Lee , Rosa Lopez , Ramon Aguado , Mahn-Soo Choi

The electrons forming a Cooper pair in a superconductor can be spatially separated preserving their spin entanglement by means of quantum dots coupled to both the superconductor and independent normal leads. We investigate the…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Rafael Sánchez , Pablo Burset , Alfredo Levy Yeyati
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