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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

Topological Josephson junctions (JJs), which contain Majorana bound states, are expected to exhibit 4$\pi$-periodic current-phase relation, thereby resulting in doubled Shapiro steps under microwave irradiation. We performed numerical…

Superconductivity · Physics 2020-12-30 Yeongmin Jang , Yong-Joo Doh

Simultaneous breaking of inversion- and time-reversal symmetry in Josephson junction leads to a possible violation of the $I(\varphi)=-I(-\varphi)$ equality for the current-phase relation. This is known as anomalous Josephson effect and it…

Superconductivity derives its most salient features from the coherence of its macroscopic wave function. The associated physical phenomena have now moved from exotic subjects to fundamental building blocks for quantum circuits such as…

Mesoscale and Nanoscale Physics · Physics 2015-07-10 Benoit Gaury , Joseph Weston , Xavier Waintal

We calculate the current-voltage (I-V) characteristic of a Josephson junction containing a resonant level in the weakly coupled regime (resonance width small compared to the superconducting gap). The phase $\phi$ across the junction becomes…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 D. O. Oriekhov , Y. Cheipesh , C. W. J. Beenakker

The first evidence of anomalous Josephson effect is reported in mesoscopic superconductor-normal metal-superconductor (SNS) junctions forming a crosslike Andreev Interferometer in the absence of magnetic and spin-orbit interactions normally…

Superconductivity · Physics 2023-06-02 D. Margineda , J. S. Claydon , F. Qejvanaj , C. Checkley

For certain orientations of Josephson junctions between two p_x-wave or two d-wave superconductors, the subgap Andreev bound states produce a 4pi-periodic relation between the Josephson current I and the phase difference phi: I sin(phi/2).…

Superconductivity · Physics 2016-08-31 Hyok-Jon Kwon , K. Sengupta , Victor M. Yakovenko

We study a Josephson junction involving an inversion-asymmetric Weyl semimetal in presence of time-reversal symmetric (TRS) or time-reversal symmetry broken tilt in the Weyl spectra. We reveal that both types of tilts in the Weyl nodes lead…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Debabrata Sinha

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

Topological superconductors admit zero-energy Majorana bound states at their boundaries. In this review article, we discuss how to probe these Majorana bound states in Josephson junctions between two topological superconductors. In the…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Driss M. Badiane , Leonid I. Glazman , Manuel Houzet , Julia S. Meyer

We calculate the Andreev bound states and the corresponding Josephson current for an asymmetric 2-dimensional Josephson junction by solving Bogoliubov-de-Gennes equations. The junction consists of a non-centrosymmetric superconductor (NCS)…

Superconductivity · Physics 2014-05-13 Ludwig Klam , Anthony Epp , Wei Chen , Manfred Sigrist , Dirk Manske

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

We present a non-equilibrium quasiclassical formalism suitable for studying linear response ac properties of Josephson junctions. The non-equilibrium self-consistency equations are satisfied, to very good accuracy, already in zeroth…

Superconductivity · Physics 2009-11-07 M. H. S. Amin

We derive the AC Josephson frequency using the gauge invariant equations of motion with including the battery-contact effect. The frequency is given as a sum of a contribution from an Aharonov-Bohm phase that arises when charged-partices…

Superconductivity · Physics 2009-12-25 Hiroyasu Koizumi

We study the Josephson junction mediated by the quantum spin Hall edge states and show that electron-electron interactions lead to a dissipationless fractional Josephson effect in the presence of time-reversal symmetry. Surprisingly, the…

Superconductivity · Physics 2014-07-17 Fan Zhang , C. L. Kane

We investigate the current-phase relation of S/F/S junctions near the crossover between the 0 and the pi ground states. We use Nb/CuNi/Nb junctions where this crossover is driven both by thickness and temperature. For a certain thickness a…

Superconductivity · Physics 2007-05-23 H. Sellier , C. Baraduc , F. Lefloch , R. Calemczuk

We consider phase-locked dynamics of a Josephson junction driven by finite-spectral-linewidth ac current. By means of a transformation, the effect of frequency fluctuations is reduced to an effective additive noise, the corresponding…

Pattern Formation and Solitons · Physics 2009-11-07 Giovanni Filatrella , Boris A. Malomed , Sergio Pagano

New resonance steps are found in the experimental current-voltage characteristics of long, discrete, one-dimensional Josephson junction arrays with open boundaries and in an external magnetic field. The junctions are underdamped, connected…

Superconductivity · Physics 2009-10-30 A. E. Duwel , S. Watanabe , E. Trias , T. P. Orlando , H. S. J. van der Zant , S. H. Strogatz

As a novel quantum phenomenon with nonreciprocal supercurrent, the Josephson diode effect was intensively studied in recent years. Here, we construct a generalized resistively capacitance shunted junction (RCSJ) model as a low-energy…

Superconductivity · Physics 2025-07-01 Da Wang , Qiang-Hua Wang , Congjun Wu

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