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Josephson junctions are typically characterized by a single phase difference across two superconductors. This conventional two-terminal Josephson junction can be generalized to a multi-terminal device where the Josephson energy contains…

In a Josephson junction (JJ), Cooper pairs are transported via Andreev bound states (ABSs) between superconductors. The ABSs in the weak link of multi-terminal (MT) JJs can coherently hybridize two Cooper pairs among different…

Mesoscale and Nanoscale Physics · Physics 2022-06-20 Ko-Fan Huang , Yuval Ronen , Régis Mélin , Denis Feinberg , Kenji Watanabe , Takashi Taniguchi , Philip Kim

Multiterminal Josephson junctions have aroused considerable theoretical interest recently and numerous works aim at putting the predictions of correlations among Coopers (i.e. the so-called quartets) and simulation of topological matter to…

Mesoscale and Nanoscale Physics · Physics 2023-01-09 Régis Mélin

We study the Josephson effect in the multiterminal junction of topological superconductors. We use the symmetry-constrained scattering matrix approach to derive band dispersions of emergent sub-gap Andreev bound states in a multidimensional…

Superconductivity · Physics 2019-04-03 Hong-Yi Xie , Alex Levchenko

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 study the Josephson effect between chiral p-wave superconductor / diffusive normal metal (DN) / chiral p-wave superconductor (CP/DN/CP) junctions using quasiclassical Green's function formalism with proper boundary conditions. The…

Superconductivity · Physics 2009-11-11 Y. Sawa , T. Yokoyama , Y. Tanaka , A. A. Golubov

Multiterminal superconducting junctions have revitalized the investigation of the Josephson effect. One of the most interesting aspects of these hybrid systems is the occurrence of multi-Cooper pair tunneling processes that have no analog…

Superconductivity · Physics 2025-08-01 Miriam Rike Ebert , David Christian Ohnmacht , Wolfgang Belzig , Juan Carlos Cuevas

Josephson junctions with an intrinsic phase shift of pi, so-called pi Josephson junctions, can be realized by a weak link of a d-wave superconductor with an appropriate boundary geometry. A model for the pairing potential of an according…

Superconductivity · Physics 2015-05-13 A. Gumann , C. Iniotakis , N. Schopohl

In the presence of an external magnetic field Cooper pairs in noncentrosymmetric superconductors can acquire finite momentum. Recent theory predicts that such finite-momentum pairing can lead to an asymmetric critical current, where a…

We theoretically study coherent multiple Andreev reflections in a biased three-terminal Josephson junction. We demonstrate that the direct current flowing through the junction consists of supercurrent components when the bias voltages are…

Mesoscale and Nanoscale Physics · Physics 2019-02-22 M. P. Nowak , M. Wimmer , A. R. Akhmerov

Biasing a three-terminal Josephson junction (TTJ) with symmetrical voltages $0,V,-V$ leads to new kinds of DC currents, namely quartet Josephson currents and phase-dependent multiple Andreev reflection (MAR) currents. We study these…

Superconductivity · Physics 2023-07-14 T. Jonckheere , J. Rech , C. Padurariu , L. Raymond , T. Martin , D. Feinberg

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

The supercurrent of a Josephson junction is reduced by phase diffusion. For ultrasmall capacitance junctions the current may be further decreased by Coulomb blockade effects. We calculate the Cooper pair current by means of time-dependent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hermann Grabert , Gert-Ludwig Ingold , Benjamin Paul

On the basis of the Usadel equation we study a multi-terminal Josephson junction. This junction is composed by "magnetic" superconductors S$_{\text{m}}$ which have singlet pairing and are separated from the normal n~wire by spin filters so…

Superconductivity · Physics 2016-04-07 Andreas Moor , Anatoly F. Volkov , Konstantin B. Efetov

The critical current modulation and the spontaneous flux of the vortex states in corner Josephson junctions between Sr$_2$RuO$_4$ and a conventional s-wave superconductor are calculated as a function of the crystal orientation, and the…

Superconductivity · Physics 2009-11-07 N. Stefanakis

The $4\pi$ Josephson Effect is a distinguishing feature of a topological Josephson junction. However, stringent conditions make it hard to observe in experiments. Here we numerically study the transient transport properties in a topological…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Dihao Sun , Jie Liu

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 ~…

Superconductivity · Physics 2007-05-23 Hyok-Jon Kwon , K. Sengupta , Victor M. Yakovenko

The $4\pi$-periodic Josephson effect is an indicator of Majorana zero modes and a ground-state degeneracy which are central to topological quantum computation. However, the observability of a $4\pi$-periodic Josephson current-phase relation…

Mesoscale and Nanoscale Physics · Physics 2019-07-04 G. Tkachov

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and applications to metrology, precision sensing,…

We study the Josephson effect in a triplet superconductor--ferromagnet--singlet superconductor junction. We show that the interaction of tunneling Cooper pairs with the interface magnetization can permit a Josephson current at the lowest…

Superconductivity · Physics 2013-08-22 P. M. R. Brydon , Wei Chen , Yasuhiro Asano , Dirk Manske
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