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A single Josephson junction in the phase-slip regime exhibits Bloch oscillations in the voltage when biased with a DC current $I_\text{DC}$. The frequency of the oscillation is given by $\pi I_\text{DC}/e$, with $e$ the elementary charge,…

Mesoscale and Nanoscale Physics · Physics 2023-11-20 David Scheer , Fabian Hassler

The $\varphi_0$ superconductor-ferromagnet-superconductor Josephson junction exhibits unique locking phenomena under the external periodic signal when the magnetic component is taken into account. Contrary to the well-known Shapiro steps…

Superconductivity · Physics 2025-05-14 K. Kulikov , J. Tekić , E. Kovalenko , M. Nashaat , T. A. Belgibayev , Yu. M. Shukrinov

We investigate theoretical aspects of the detection of Majorana bound states in Josephson junctions using the semiclassical RCSJ model of junction dynamics. The influence of a 4$\pi$-periodic supercurrent contribution can be detected…

Mesoscale and Nanoscale Physics · Physics 2017-10-06 Jordi Picó-Cortés , Fernando Domínguez , Gloria Platero

The unique resonance and locking phenomena in the superconductor-ferromagnet-superconductor $\varphi_0$ Josephson junction under external electromagnetic radiation are demonstrated when not just the electric but also the magnetic component…

Superconductivity · Physics 2024-01-19 Yu. M. Shukrinov , E. Kovalenko , J. Tekic , K. Kulikov , M. Nashaat

Majorana zero modes are predicted in several solid state systems such as hybrid superconductor-semiconductor structures and topological insulators coupled to superconductors. One of the expected signatures of Majorana modes is the…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 S. R. Mudi , S. M. Frolov

In driven nonlinear systems, phase locking is an intriguing effect leading to robust stationary states that are stable over extended ranges of control parameters. Recent experiments allow for exploring microscopic mechanisms underlying such…

Statistical Mechanics · Physics 2025-03-14 Seemant Mishra , Artem Ryabov , Philipp Maass

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

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

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

We experimentally investigate the dynamics of exciton polariton Josephson junctions when the coupling between condensates is periodically modulated through self-induced mechanical oscillations. The condensates energy detuning, the analog of…

For an overdamped particle moving over a two-dimensional periodic substrate under combined dc and ac drives, a series of steps can appear in the velocity force curves that are known as Shapiro steps. Here we show that for skyrmions driven…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 N. P. Vizarim , C. Reichhardt , P. A. Venegas , C. J. O. Reichhardt

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 $I_{2\pi}$…

Josephson junctions with weak-links of exotic materials allow the elucidation of the Josephson effect in previously unexplored regimes. Further, such devices offer a direct probe of novel material properties, for example in the search for…

Mesoscale and Nanoscale Physics · Physics 2020-05-06 S. S. Kalantre , F. Yu , M. T. Wei , K. Watanabe , T. Taniguchi , M. Hernandez-Rivera , F. Amet , J. R. Williams

The Majorana zero-energy modes (MZMs) residing at the boundary of topological superconductors have attracted a great deal of interest recently, as they provide a platform to explore fundamental physics such as non-Abelian statistics, as…

Superconductivity · Physics 2021-06-30 Jinho Park , Yong-Bin Choi , Gil-Ho Lee , Hu-Jong Lee

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

The magnetic analogue of the Josephson effect can be exploited to develop a new class of nano-spin oscillators that we denote as spin superfluid Josephson oscillators. Such a device, consisting of two exchange coupled easy-plane metallic…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Yizhou Liu , Igor Barsukov , Ilya Krivorotov , Yafis Barlas , Roger K. Lake

We propose a model describing the formation of both dual (quantum) and classical Shapiro steps in small Josephson junctions. According to this model, the dual Shapiro steps are formed at relatively low frequency of the microwave signal and…

In DC transport through mesoscopic S-N-S junctions, it is known that the Josephson coupling decreases exponentially with increasing temperature, but the phase dependence of the conductance persists to much higher temperatures and decreases…

Superconductivity · Physics 2009-10-30 J. G. E. Harris , N. Argaman , S. J. Allen

Multi-gap superconductors can exhibit qualitatively new phenomena due to existence of multiple order parameters. Repulsive electronic interactions may give rise to a phase difference of $\pi$ between the phases of the order parameters.…

Superconductivity · Physics 2009-11-07 D. F. Agterberg , Eugene Demler , B. Janko

Topological superconductivity is expected to spur Majorana zero modes -- exotic states that are also considered a quantum technology asset. Fractional Josephson effect is their manifestation in electronic transport measurements, often under…