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We treat theoretically Shapiro steps in tunnel Josephson junctions with spatially alternating critical current density. Explicit analytical formulas for the width of the first integer (normal) and half-integer (anomalous) Shapiro steps are…

Superconductivity · Physics 2009-11-13 M. Moshe , R. G. Mints

We present direct measurements of the current-phase relation for lateral Josephson junctions with a graphene barrier, obtained by a phase-sensitive SQUID interferometry technique. We find that the current-phase relation is forward skewed…

Mesoscale and Nanoscale Physics · Physics 2016-09-01 Christopher English , David Hamilton , Cesar Chialvo , Ion Moraru , Nadya Mason , Dale Van Harlingen

In addition to the usual superconducting current, Josephson junctions (JJs) support a phase-dependent conductance related to the retardation effect of tunneling quasi-particles. This introduces a dissipative current with a memory-resistive…

Mesoscale and Nanoscale Physics · Physics 2018-04-10 Forrest Sheldon , Sebastiano Peotta , Massimiliano Di Ventra

We consider the modulated harmonic wave in the discrete series connected Josephson transmission line (JTL). We formulate the approach to the modulation problems for discrete wave equations based on discrete calculus. We check up the…

Pattern Formation and Solitons · Physics 2024-07-01 Eugene Kogan

We have investigated how the Coulomb blockade of a mesoscopic Josephson junction in a high-impedance environment is suppressed by shot noise from an adjacent junction. The presented theoretical analysis is an extension of the phase…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 E. B. Sonin

We compute the critical Josephson current through a single-molecule junction. As a model for a molecule with a bistable conformational degree of freedom, we study an interacting single-level quantum dot coupled to a two-level system and…

Superconductivity · Physics 2015-05-13 Andreas Schulz , Alex Zazunov , Reinhold Egger

We present fully self-consistent calculations of the thermodynamic properties of three-dimensional clean SNS Josephson junctions, where S is an s-wave short-coherence-length superconductor and N is a clean normal metal. The junction is…

Superconductivity · Physics 2016-08-31 Branislav K. Nikolic , J. K. Freericks , P. Miller

We critically review the fast algorithms for the numerical study of two--dimensional Josephson junction arrays and develop the analogy of such systems with electrostatics. We extend these procedures to arrays with bus--bars and defects in…

Condensed Matter · Physics 2009-10-28 Sujay Datta , Shantilal Das , Deshdeep Sahdev , Ravi Mehrotra , Subodh R. Shenoy

Amplifiers based on Josephson junctions allow for a fast and noninvasive readout of superconducting qubits. Motivated by the ongoing progress toward the realization of fault-tolerant qubits based on Majorana bound states, we investigate the…

Superconductivity · Physics 2021-07-19 Samuel Boutin , Pedro L. S. Lopes , Anqi Mu , Udson C. Mendes , Ion Garate

We present a theoretical study of resonant frequencies and spatial correlations of Josephson phases in frustrated arrays of Josephson junctions. Two types of one-dimensional arrays, namely, the diamond and sawtooth chains, are discussed.…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 A. Andreanov , M. V. Fistul

We present the theory of the Josephson effect in nanotube dots where an SU(4) symmetry can be realized. We find a remarkably rich phase diagram that significantly differs from the SU(2) case. In particular, \pi-junction behavior is largely…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 A. Zazunov , A. Levy Yeyati , R. Egger

The tunnelling quantum dynamics of bimodal BJJ system is modified through introducing an equilibrium condition, which is based on the assumption that the BJJ is tend to keep on its ground state (with a lowest energy) during the oscillation.…

Soft Condensed Matter · Physics 2007-05-23 Yu-ping Huang , Zhen-sheng Yuan , Lin-fan Zhu , Lin-jiao Luo , Xiao-jing Liu , Ke-zun Xu

We consider an asymmetric 0-pi Josephson junction consisting of 0 and pi regions of different lengths L_0 and L_pi. As predicted earlier this system can be described by an effective sine-Gordon equation for the spatially averaged phase psi…

Superconductivity · Physics 2012-01-24 E. Goldobin , D. Koelle , R. Kleiner , R. G. Mints

Peculiar features of the Josephson effect in graphene were described theoretically by Titov and Beenakker [Phys. Rev. B 74, 041401(R) (2006)], who solved the Dirac-Bogoliubov-de-Gennes equation for a superconductor-graphene-superconductor…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Adam Rycerz

Multi-terminal Josephson junctions were recently proposed as a versatile and tunable platform to emulate topological Bloch-like Hamiltonians in arbitrary dimensions. In this perspective article, we will give a brief overview of the subject…

Mesoscale and Nanoscale Physics · Physics 2023-03-31 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

We investigate one-dimensional Josephson junction arrays with generalized unit cells as a circuit approach to engineer microwave band gaps. An array described by a lattice with a basis can be designed to have a gap in the electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Carsten Hutter , Erik A. Tholén , Kai Stannigel , Jack Lidmar , David Haviland

We investigate the occurrence of direct and dual Shapiro steps for a Josephson junction coupled to a finite-size transmission line resonator. We treat both problems through a circuit QED approach with a large, but finite number of photon…

Mesoscale and Nanoscale Physics · Physics 2024-12-09 Federico Borletto , Luca Giacomelli , Cristiano Ciuti

We show a perturbation theory of the Josephson transport through ferromagnetic insulators (FIs). Recently we have found that the appearance of the atomic scale 0-pi transition in such junctions based on numerical calculations. In order to…

Mesoscale and Nanoscale Physics · Physics 2013-11-13 Shiro Kawabata , Yukio Tanaka , Alexander A. Golubov , Andrey S. Vasenko , Satoshi Kashiwaya , Yasuhiro Asano

We study theoretically the Josephson effect in junctions based on unconventional superconductors with diffusive barriers, using the quasiclassical Green's function formalism. Generalized boundary conditions at junction interfaces applicable…

Superconductivity · Physics 2009-11-11 T. Yokoyama , Y. Tanaka , A. A. Golubov

We study Superconductor-Ferromagnet-Superconductor (Nb-Cu0.47 Ni0.53-Nb) Josephson junctions with spatial variations in the barrier thickness. Critical current vs. magnetic flux diffraction patterns indicate that the critical current…

Superconductivity · Physics 2007-05-23 S. M. Frolov , D. J. Van Harlingen , V. V. Bolginov , V. A. Oboznov , V. V. Ryazanov