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We investigate manipulation with Andreev bound states in Josephson quantum point contacts with magnetic scattering. Rabi oscillations in the two-level Andreev subsystems are excited by resonant driving the direction of magnetic moment of…

Superconductivity · Physics 2009-11-13 J. Michelsen , V. S. Shumeiko , G. Wendin

We study a Josephson junction ladder in a magnetic field in the absence of charging effects via a transfer matrix formalism. The eigenvalues of the transfer matrix are found numerically, giving a determination of the different phases of the…

Statistical Mechanics · Physics 2007-05-23 Colin Denniston , Chao Tang

Andreev bound states (ABS) occur in Josephson junctions when the total phase of the Andreev and normal reflections is a multiple of $2\pi$. In ballistic junctions with an applied voltage bias, a quasi-particle undergoes multiple Andreev…

We study the spectrum of Andreev bound states and Josephson currents across a junction of $N$ superconducting wires which may have $s$- or $p$-wave pairing symmetries and develop a scattering matrix based formalism which allows us to…

Superconductivity · Physics 2018-05-30 Oindrila Deb , K. Sengupta , Diptiman Sen

Gate-tunable semiconductor nanowires with superconducting leads have great potential for quantum computation and as model systems for mesoscopic Josephson junctions. The supercurrent, $I$, versus the phase, $\phi$, across the junction is…

Mesoscale and Nanoscale Physics · Physics 2025-01-08 Eric M. Spanton , Mingtang Deng , Saulius Vaitiekėnas , Peter Krogstrup , Jesper Nygård , Charles M. Marcus , Kathryn A. Moler

We present a theoretical and experimental study of the Fiske resonances in the current-voltage characteristics of "small" Josephson junctions with randomly distributed misaligned Abrikosov vortices. We obtained that in the presence of…

Superconductivity · Physics 2015-05-18 M. P. Lisitskiy , M. V. Fistul

The peculiarities of the phase dynamics of stacks of coupled Josephson junctions with topologically trivial and nontrivial barriers have been investigated numerically and their comparative analysis is carried out. The effect of coupling and…

Superconductivity · Physics 2018-01-25 I. R. Rahmonov , Yu. M. Shukrinov

We proposed a scheme to demonstrate macroscopic quantum jumps in a superconducting phase qubit coupled to a microscopic two-level system in the Josephson tunnel junction. Irradiated with suitable microwaves, the Rabi oscillations of the…

Quantum Physics · Physics 2015-05-13 Xueda Wen , Shi-Liang Zhu , Yang Yu

The current-voltage characteristic of a driven superconducting Josephson junction displays discrete steps. This phenomenon, called the Shapiro steps, forms today's voltage standard! Here, we report the observation of Shapiro steps in a…

Quantum Gases · Physics 2026-01-07 Erik Bernhart , Marvin Röhrle , Vijay Pal Singh , Ludwig Mathey , Luigi Amico , Herwig Ott

Josephson junctions fabricated on the surface of three-dimensional topological insulators (TI) show a few unusual properties distinct from conventional Josephson junctions. In these devices, the Josephson coupling and the supercurrent are…

Superconductivity · Physics 2013-01-18 Christopher T. Olund , Erhai Zhao

We study Josephson effect of $d$-wave superconductor (DS)/ferromagnet insulator(FI)/DS junctions on a surface of topological insulator (TI). We calculate Josephson current $I\left(\varphi \right) $ for various orientations of the junctions…

Superconductivity · Physics 2016-07-07 Bo Lu , Keiji Yada , A. A. Golubov , Yukio Tanaka

In the presence of a 4$\pi$-periodic contribution to the current phase relation, for example in topological Josephson junctions, odd Shapiro steps are expected to be missing. While missing odd Shapiro steps have been observed in several…

Starting from the quasiclassical equations for non-equilibrium Green's functions we derive a simple kinetic equation that governs ac Josephson effect in a superconducting quantum point contact at small bias voltages. In contrast to existing…

Condensed Matter · Physics 2009-10-28 D. Averin , A. Bardas

The dynamics of overdamped Josephson junctions under varying microwave-driving conditions have been studied through numerical simulations using the resistively-shunted junction (RSJ) model, with a focus on primary voltage metrology…

Superconductivity · Physics 2025-08-19 Paolo Durandetto

We study a planar Josephson junction under an applied DC voltage bias in the presence of an in-plane magnetic field. Upon tuning the bias voltage across the junction, $V_{{\rm J}}$, the two ends of the junction are shown to simultaneously…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Changnan Peng , Arbel Haim , Torsten Karzig , Yang Peng , Gil Refael

Phase- and voltage bias-sensitive quasiparticle transport at a double $NIS_1IS_2$ interface is considered. The barriers $I$ range from tunnel to transparent, and the intermediate region $S_1$ has a width comparable to the superconducting…

Mesoscale and Nanoscale Physics · Physics 2014-04-16 David Gosselin , Gaston Hornecker , Régis Mélin , Denis Feinberg

We show analytically and by numerical simulations that the conductance through $\pi$-biased chaotic Josephson junctions is enhanced by several orders of magnitude in the short-wavelength regime. We identify the mechanism behind this effect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. C. Goorden , Ph. Jacquod , J. Weiss

A three-terminal Josephson junction biased at opposite voltages can sustain a phase-sensitive dc-current carrying three-body static phase coherence, known as the "quartet current". We calculate the zero-frequency current noise…

Mesoscale and Nanoscale Physics · Physics 2016-04-12 Régis Mélin , Moïse Sotto , Denis Feinberg , Jean-Guy Caputo , Benoît Douçot

We study the behavior of a topological Josephson junction in which two topological superconductors are coupled through a quantum dot. We focus on the case with the bulk superconducting gap being the largest energy scale. Two parameter…

Superconductivity · Physics 2016-05-11 Yu-Li Lee , Yu-Wen Lee

We develop a microscopic theory of ac Josephson effect in superconducting junctions described by an arbitrary scattering matrix that may include magnetic effects. In the limit of constant in time bias voltage $V$ applied to the junction we…

Superconductivity · Physics 2024-10-22 Mikhail S. Kalenkov , Andrei D. Zaikin
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