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The fractional Josephson effect has been observed in many instances as a signature of a topological superconducting state containing zero-energy Majorana modes. We present a nontopological scenario which can produce a fractional Josephson…

Mesoscale and Nanoscale Physics · Physics 2017-02-08 Jay D. Sau , F. Setiawan

When a Josephson junction is exposed to microwave radiation, it undergoes the inverse AC Josephson effect - the phase of the junction locks to the drive frequency. As a result, the I-V curves of the junction acquire "Shapiro steps" of…

Two-particle backscattering in time-reversal invariant interacting helical electron systems can lead to the formation of quasiparticles with charge $e/2$. We propose a way to detect such states by means of the Josephson effect in the…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Christopher J. Pedder , Tobias Meng , Rakesh Tiwari , Thomas L. Schmidt

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

The current-voltage I-V characteristics of a 1.2 \mum long Au nanowire contacted by superconducting electrodes were studied in details. Interestingly, the I-V curves over a wide range of temperatures display multiple steps at voltages V =…

Superconductivity · Physics 2011-07-04 Lin He , Jian Wang , Moses H. W. Chan

We investigate the Josephson diode effect in an asymmetric SQUID consisting of a sinusoidal Josephson junction formed by a Bi$_2$Te$_2$Se flake and a superconducting Nb nanobridge with a linear and multivalued current-phase relation (CPR).…

We study the transport properties of a superconductor-quantum spin Hall insulator-superconductor (S-QSHI-S) hybrid system in the presence of a microwave radiation. Instead of adiabatic analysis or using the resistively shunted junction…

Mesoscale and Nanoscale Physics · Physics 2018-03-01 Yu-Hang Li , Jie Liu , Juntao Song , Hua Jiang , Qing-Feng Sun , X. C. Xie

Topological superconductivity holds promise for fault-tolerant quantum computing. While planar Josephson junctions are attractive candidates to realize this exotic state, direct phase-measurements as the fingerprint of the topological…

We report the experimental observation of half-integer Shapiro steps in the strong ferromagnetic Josephson junction (Nb-NiFe-Nb) by investigating the current-phase relation under radiofrequency microwave excitation. The half-integer Shapiro…

We present measurements of microwave-induced Shapiro steps in a superconducting nanobridge weak link in the dissipative branch of a hysteretic current-voltage characteristic. We demonstrate that Shapiro steps can be used to infer a reduced…

Superconductivity · Physics 2020-03-04 Connor D. Shelly , Patrick See , Ivan Rungger , Jonathan M. Williams

The modern primary voltage standard is based on the AC Josephson effect and the ensuing Shapiro steps, where a microwave tone applied to a Josephson junction yields a constant voltage $hf/2e$ ($h$ is Planck's constant and $e$ the electron…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Nicolò Crescini , Samuel Cailleaux , Wiebke Guichard , Cécile Naud , Olivier Buisson , Kater Murch , Nicolas Roch

Ultra-small Josephson junctions are strongly influenced by noise and damping due to energy dissipation into the environment, which are expected to suppress phase coherence. Here, we investigate the coherence properties of atomic-scale…

Mesoscale and Nanoscale Physics · Physics 2025-10-01 Martina Trahms , Bharti Mahendru , Clemens B. Winkelmann , Katharina J. Franke

A junction between two topological superconductors containing a pair of Majorana fermions exhibits a `fractional' Josephson effect, $4\pi$ periodic in the superconductors' phase difference. An additional fractional Josephson effect,…

Superconductivity · Physics 2015-05-28 Liang Jiang , David Pekker , Jason Alicea , Gil Refael , Yuval Oreg , Felix von Oppen

Dark matter axions can generate peculiar effects in special types of Josephson junctions, so-called SNS junctions. One can show that the axion field equations in a Josephson environment allow for very small oscillating supercurrents, which…

High Energy Physics - Phenomenology · Physics 2017-10-13 Christian Beck

When a superconducting tunnel junction at a finite voltage is irradiated with microwaves, the interplay between the alternating Josephson current and the ac field gives rise to steps in the dc current known as Shapiro steps. In this work we…

Superconductivity · Physics 2009-11-13 J. C. Cuevas , H. Pothier

Physicists are searching for superconducting materials that can host Majoranas. New evidence for these elusive particles is provided by missing Shapiro steps in a Josephson effect mediated by an accidental Dirac semimetal.

Superconductivity · Physics 2018-12-31 Fan Zhang , Wei Pan

A model of a superconducting tunnel junction coupled to a mechanical oscillator is studied at zero temperature in the case of linear coupling between the oscillator and tunneling electrons. It is found that the Josephson current flowing…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jian-Xin Zhu , Z. Nussinov , A. V. Balatsky

A superconducting quantum interference device (SQUID) comprising 0- and $\pi$-Josephson junctions (JJs), called $\pi$-SQUID, is studied by the resistively shunted junction model. The $\pi$-SQUID shows half-integer Shapiro-steps (SS) under…

Superconductivity · Physics 2021-09-09 Michiyasu Mori , Sadamichi Maekawa

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 analyze the current in a superconducting point contact of arbitrary transmission in the presence of a microwave radiation. The interplay between the ac Josephson current and the microwave signal gives rise to Shapiro steps at voltages V…

Superconductivity · Physics 2009-11-07 J. C. Cuevas , J. Heurich , A. Martin-Rodero , A. Levy Yeyati , G. Schoen