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We theoretically study the Shapiro steps in a hetero Josephson junction made of a single-gap superconductor and a two-gap one. We find that an anomalous DC Josephson current is induced by tuning the frequency of an applied microwave to the…

Superconductivity · Physics 2010-10-28 Yukihiro Ota , Masahiko Machida , Tomio Koyama

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…

We investigate ac Josephson effect in the resonant tunneling through mesoscopic superconducting junctions. In the presence of microwave irradiation, we show that the trajectory of multiple Andreev reflections can be closed by emitting or…

Mesoscale and Nanoscale Physics · Physics 2010-08-03 Yu Zhu , Qing-feng Sun , Wei Li , Zhong-shui Ma , Tsung-han Lin

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

It is widely believed that superconducting junctions involving topological insulators and hosting Majorana-like bound states may exhibit unusual "fractional" ($4\pi$-periodic) ac Josephson effect. Accordingly, "fractional" Shapiro steps on…

Superconductivity · Physics 2021-09-08 Artem V. Galaktionov , Andrei D. Zaikin

We propose the use of a laser beam tightly focused on a superconducting strip to create a Josephson junction by photothermal effect. The critical current of this junction can be easily controlled by the laser intensity. We show that a…

Superconductivity · Physics 2019-05-30 W. Magrini , S. Mironov , A. Rochet , P. Tamarat , Alexandre I. Buzdin , B. Lounis

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

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

We theoretically discuss the emergence of fractional Shapiro steps in a Josephson junction created by confining a two-dimensional electron gas at an oxide interface. This phenomenon is induced by an alternating current of proper amplitude…

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

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

Superconducting topological systems formed by a strong 3D topological insulator (TI) in proximity to a conventional $s$-wave superconductor (SC) have been intensely studied as they may host Majorana zero modes. However, there are limited…

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

High$-$quality Josephson junctions made of twisted cuprate superconductors offer unprecedented opportunities in addressing fundamental problems and realizing next$-$generation superconducting devices at relatively high temperatures. Whether…

Superconductivity · Physics 2025-12-02 Yuying Zhu , Heng Wang , Ding Zhang , Qi-Kun Xue

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 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).…

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

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 theoretically study the superconducting diode effect in a three-terminal Josephson junction. The diode effect in superconducting systems is typically related to the presence of a difference in the critical currents for currents flowing…

Superconductivity · Physics 2024-08-07 Jorge Huamani Correa , Michal P. Nowak

Topological superconductors which support Majorana fermions are thought to be realized in one-dimensional semiconducting wires coupled to a superconductor. Such excitations are expected to exhibit non-Abelian statistics and can be used to…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Leonid P. Rokhinson , Xinyu Liu , Jacek K. Furdyna
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