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We experimentally study electron transport between two superconducting indium leads, coupled to a single WTe$_2$ crystal, which is a three-dimensional Weyl semimetal. We demonstrate Josephson current in long 5~$\mu$m In-WTe$_2$-In…

Mesoscale and Nanoscale Physics · Physics 2019-01-21 O. O. Shvetsov , A. Kononov , A. V. Timonina , N. N. Kolesnikov , E. V. Deviatov

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

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…

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

Critical current was recently measured near the transition from 0 to $\pi$-contact in superconductor/ferromagnet/superconductor Josephson junctions. Contrary to expectations, it does not vanish at the transition point. It shows instead a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Houzet , V. Vinokur , F. Pistolesi

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…

Josephson junctions hosting Majorana fermions have been predicted to exhibit a 4$\pi$ periodic current phase relation. The experimental consequence of this periodicity is the disappearance of odd steps in Shapiro steps experiments.…

It is well established that superconductivity is based on a coherent quantum state of Cooper pairs with charge 2e, and this is equally true of the Josephson effect. In contrast, Kadin recently presented an alternative real-space model of…

Superconductivity · Physics 2010-08-02 Alan M. Kadin

The AC Josephson effect manifests itself in the form of "Shapiro steps" of quantized voltage in Josephson junctions subject to RF radiation. This effect presents an early example of a driven-dissipative quantum phenomenon and is presently…

Mesoscale and Nanoscale Physics · Physics 2020-10-16 T. F. Q. Larson , L. Zhao , E. G. Arnault , M. T. Wei , A. Seredinski , H. Li , K. Watanabe , T. Taniguchi , F. Amet , G. Finkelstein

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

A lateral Josephson junction in which the surface of a 3D topological insulator serves as the weak link should support topologically protected excitations related to Majorana fermions. The resulting $4\pi$-periodic current-phase…

We investigate theoretically the dynamics of a Josephson junction in the framework of the RSJ model. We consider a junction that hosts two supercurrrent contributions: a $2\pi$- and a $4\pi$-periodic in phase, with intensities $I_{2\pi}$…

Synchronization between the internal dynamics of the superconducting phase in a Josephson junction (JJ) and an external ac signal is a fundamental physical phenomenon, manifesting as constant-voltage Shapiro steps in the current-voltage…

Superconductivity · Physics 2025-12-23 Pavel N. Tsarev , Yakov V. Fominov

We present a Josephson junction based on a Ge-Si core-shell nanowire with transparent superconducting Al contacts, a building block which could be of considerable interest for investigating Majorana bound states, superconducting qubits and…

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 absence of odd-order Shapiro steps is a predicted signature of topological superconductors. Experimentally, the missing first-order Shapiro step has been reported in both putative topological superconducting systems and topologically…

Superconductivity · Physics 2025-11-17 Xingjun Wu , Haitian Su , Chuanchang Zeng , Ji-Yin Wang , Shili Yan , Dong Pan , Jianhua Zhao , Po Zhang , H. Q. Xu

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

The recent discovery of intrinsic supercurrent diode effect, and its prompt observation in a rich variety of systems, has shown that nonreciprocal supercurrents naturally emerge when both space- and time-inversion symmetries are broken. In…

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

We discuss an experiment in which two magnetic insulators that both show a field-induced magnetic-ordering transition are weakly coupled to one another and are placed into an ex- ternal magnetic field. If the respective magnetic states can…

Strongly Correlated Electrons · Physics 2012-12-18 Andreas Schilling , Henrik Grundmann