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We have developed a quantitative theory of Cooper pair pumping in gated one-dimensional arrays of Josephson junctions. The pumping accuracy is limited by quantum tunneling of Cooper pairs out of the propagating potential well and by direct…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. P. Pekola , J. J. Toppari , M. Aunola , M. T. Savolainen , D. V. Averin

As the size of a Josephson junction is reduced, charging effects become important and the superconducting phase across the link turns into a periodic quantum variable. Isolated Josephson junction arrays are described in terms of such…

Superconductivity · Physics 2009-11-07 D. A. Ivanov , L. B. Ioffe , V. B. Geshkenbein , G. Blatter

The properties of the tunnelling-charging Hamiltonian of a Cooper pair pump are well understood in the regime of weak and intermediate Josephson coupling, i.e. E_J\lesssim E_C. Instead of perturbative treatment of charging effects, the…

Superconductivity · Physics 2007-05-23 M. Aunola

Single-charge tunneling in ultrasmall voltage biased SIS junctions in a high-impedance electromagnetic environment is considered. The Cooper pair current is calculated at T=0 on the basis of the elementary tunnel Hamiltonian for…

Condensed Matter · Physics 2016-08-15 A. Hädicke , W. Krech

We study large arrays of mesoscopic junctions between gapless superconductors where the tunneling processes of both, particle-hole and Cooper, pairs give rise to a strongly retarded effective action which, contrary to the standard case, can…

Superconductivity · Physics 2015-05-28 D. V. Khveshchenko , R. Crooks

We study a quantum Hamiltonian that models an two--dimensional array of Josephson junctions with short range Josephson couplings, (given by the Josephson energy E_J and charging energiey E_C due to the small capacitance of the junctions. We…

Superconductivity · Physics 2009-11-10 T. K. Kopec , T. P. Polak

We study the capacitance-coupled Josephson junction array beyond the small-coupling limit. We find that, when the scale of the system is large, its Hamiltonian can be obtained without the small-coupling approximation and the system can be…

Quantum Physics · Physics 2015-06-12 Liang-Hui Du , Xingxiang Zhou , Yong-Jian Han , Guang-Can Guo , Zheng-Wei Zhou

Superconducting quantum circuits derive their nonlinearity from the Josephson energy-phase relation. Besides the fundamental $\cos\phi$ term, this relation can also contain higher Fourier harmonics $\cos(k\phi)$ corresponding to correlated…

In the Josephson effect, coherent Cooper pair tunneling is driven by the phase difference between the superconducting order parameters on opposite sides of the junction. By analogy, differences in order parameters across a junction should…

Strongly Correlated Electrons · Physics 2008-11-20 D. Chassé , A. -M. S. Tremblay

Within the tunneling Hamiltonian formulation for the eight-component spinors,the Josephson critical super-current has been calculated in a planar superconductor-normal graphene-superconductor junction. Coupling between superconductor…

Superconductivity · Physics 2012-05-30 E. Sarvestani , S. A. Jafari

We discuss correlated lattice models with a time-dependent potential across a barrier and show how to implement a Josephson-junction-like behavior. The pairing occurs by a correlation effect enhanced by the symmetry of the system. In order…

Superconductivity · Physics 2009-11-11 Stefano Bellucci , Michele Cini , Pasquale Onorato , Enrico Perfetto

We study experimentally and numerically the zero-voltage supercurrent vs. magnetic field of non-uniform arrays of Josephson junctions parallel-connected by a superconducting stripline. The measured curves are complex, unique and in…

Superconductivity · Physics 2007-05-23 F. Boussaha , J. G. Caputo , L. Loukitch , M. Salez

We present a theory describing parametric amplification in a Josephson junction embedded transmission line. We will focus on the process of four-wave mixing under the assumption of an undepleted pump. However, the approach taken is quite…

Quantum Physics · Physics 2025-05-21 T. H. A. van der Reep

Superconducting circuits incorporating Josephson tunnel junctions are widely used for fundamental research as well as for applications in fields such as quantum information and magnetometry. The quantum coherent nature of Josephson…

Mesoscale and Nanoscale Physics · Physics 2021-11-04 L. Peyruchat , J. Griesmar , J. -D. Pillet , Ç. Ö. Girit

In this work we investigate the supercurrent in a hybrid topological Josephson junction consisting of two planes of topological insulator (TI) in a specific configuration, which allows both local (LAR) and crossed (CAR) Andreev processes at…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Gianmichele Blasi , Fabio Taddei , Vittorio Giovannetti , Alessandro Braggio

We extend the scattering theory of the Josephson effect to include a coupling of the Josephson junction to a gapless electron reservoir in the normal state. By opening up the system with a quasiparticle escape rate $1/\tau$, the…

Superconductivity · Physics 2024-09-17 C. W. J. Beenakker

In this paper we extend our earlier analysis of the novel Josephson effect in triplet superconductor--ferromagnet--triplet superconductor (TFT) junctions [B. Kastening \emph{et al.}, Phys. Rev. Lett. {\bf{96}}, 047009 (2006)]. In our more…

Superconductivity · Physics 2009-01-26 P. M. R. Brydon , Boris Kastening , Dirk K. Morr , Dirk Manske

Fluctuations of the current through a tunnel junction are measured using a Josephson junction. The current noise adds to the bias current of the Josephson junction and affects its switching out of the supercurrent branch. The experiment is…

Mesoscale and Nanoscale Physics · Physics 2009-02-17 Q. Le Masne , H. Pothier , Norman O. Birge , C. Urbina , D. Esteve

We propose novel model system for the studies of superconductor-insulator transitions, which is a regular lattice, whose each link consists of Josephson-junction chain of $N \gg 1$ junctions in sequence. The theory of such an array is…

Superconductivity · Physics 2022-06-01 I. V. Protopopov , M. V. Feigel'man

We study the Josephson effect in a triplet superconductor--ferromagnet--singlet superconductor junction. We show that the interaction of tunneling Cooper pairs with the interface magnetization can permit a Josephson current at the lowest…

Superconductivity · Physics 2013-08-22 P. M. R. Brydon , Wei Chen , Yasuhiro Asano , Dirk Manske
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