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The Josephson junction (JJ) is an essential element of superconducting (SC) devices for both fundamental and applied physics. The short-range coherent coupling of two adjacent JJs forms the Andreev molecule states (AMSs), which will provide…

A three-terminal Josephson junction biased at opposite voltages can sustain a phase-sensitive dc-current carrying three-body static phase coherence, known as the "quartet current". We calculate the zero-frequency current noise…

Mesoscale and Nanoscale Physics · Physics 2016-04-12 Régis Mélin , Moïse Sotto , Denis Feinberg , Jean-Guy Caputo , Benoît Douçot

A Josephson junction (JJ) is a key device in the development of superconducting circuits, wherein a supercurrent in the JJ is controlled by the phase difference between the two superconducting electrodes. Recently, it has been shown that…

The realization and manipulation of Majorana zero modes is a key step in achieving topological quantum computation. In this paper, we demonstrate the existence of Majorana corner states in a superconductor-insulators-superconductor vertical…

Superconductivity · Physics 2025-09-17 Cheng-Ming Miao , Yu-Hao Wan , Ying-Tao Zhang , Qing-Feng Sun

Josephson junctions are key elements in superconducting electronics. The most common type is the overlap (sandwich-type) junction, formed by vertically stacking two superconducting layers. In contrast, planar junctions are fabricated…

Superconductivity · Physics 2026-05-14 Vladimir M. Krasnov

We study a multi-terminal Josephson junction consisting of a central spin-orbit-coupled (SOC) region with an in-plane Zeeman field connected to four superconducting terminals. This setup allows for the simultaneous measurement of both…

Superconductivity · Physics 2025-07-29 Bijay Kumar Sahoo , Abhiram Soori

Josephson tunneling across a planar junction generally depends on the relative twist angle, $\theta$, between the two layers. However, if under a discrete rotation, the order parameter in one layer is odd and the other is even (as, e.g.,…

Superconductivity · Physics 2024-11-27 Andrew C. Yuan , Steven A. Kivelson

We consider a model of a Josephson junction of two topological superconducting wires mediated by an interacting quantum dot. An additional normal electrode coupled to the dot from the top allows to probe its density of states. The Majorana…

Mesoscale and Nanoscale Physics · Physics 2019-03-07 Piotr Stefański

We study a 0-$\pi$ dc superconducting quantum interference device (SQUID) with asymmetric inductances and critical currents of the two Josephson junctions (JJs). By considering such a dc SQUID as a black box with two terminals, we calculate…

Superconductivity · Physics 2015-06-18 E. Goldobin , D. Koelle , R. Kleiner

We theoretically consider a Josephson junction formed by a ferromagnetic spacer with a strong spin-orbit interaction or a magnetic spin valve, i.e., a bilayer with one static and one free layer. Electron spin transport facilitates a…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Silas Hoffman , Ya. M. Blanter , Yaroslav Tserkovnyak

A single spin in a Josephson junction can reverse the flow of the supercurrent. At mesoscopic length scales, such $\pi$-junctions are employed in various instances from finding the pairing symmetry to quantum computing. In Yu-Shiba-Rusinov…

Three-dimensional topological insulators (TI's) in proximity with superconductors are expected to exhibit exotic phenomena such as topological superconductivity (TSC) and Majorana bound states (MBS), which may have applications in…

We present a full microscopic theory based on the SU(2) covariant formulation of the quasiclassical formalism to describe the Josephson current through an extended superconductor-normal metal- superconductor (SNS) diffusive junction with an…

Superconductivity · Physics 2014-09-17 F. S. Bergeret , I. V. Tokatly

We investigate the Josephson effects in the junction formed by \emph{DIII}-class topological and $s$-wave superconductors, by embedding a quantum dot in the junction. Three dot-superconductor coupling manners are considered, respectively.…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Zhen Gao , Wan-Fei Shan , Wei-Jiang Gong

An odd-occupied quantum dot in a Josephson junction can flip transmission phase, creating a {\pi}-junction. When the junction couples topological superconductors, no phase flip is expected. We investigate this and related effects in a…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 D. Razmadze , E. C. T. O'Farrell , P. Krogstrup , C. M. Marcus

Superconductor/ferromagnet/superconductor Josephson junctions with anomalous phase shift $\varphi_0$ ($\varphi_0$-S/F/S JJs) implement a coupling between the superconducting phase and the spin degrees of freedom. Here we investigate the…

Superconductivity · Physics 2024-10-31 G. A. Bobkov , A. M. Bobkov , I. V. Bobkova

Dynamic states offer extended possibilities to control the properties of quantum matter. Recent efforts are focused on studying the ordered states which appear exclusively under the time-dependent drives. Here we demonstrate a class of…

Superconductivity · Physics 2021-10-05 I. V. Bobkova , A. M. Bobkov , M. A. Silaev

We derive, via fourth order perturbation theory, an expression for the Josephson current through a gated interacting quantum dot. We analyze our expression for two different models of the superconductor-dot-superconductor (SDS) system. When…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Rozhkov , D. P. Arovas , F. Guinea

Control of the Josephson current by varying a gate current has recently been demonstrated in both 4-terminal and 3-terminal junctions. We show that, when the the gates are weakly coupled to the Josephson junction, the Josephson current…

Superconductivity · Physics 2007-05-23 H. Tolga Ilhan , Philip F. Bagwell

Transport is called nonreciprocal when not only the sign, but also the absolute value of the current, depends on the polarity of the applied voltage. It requires simultaneously broken inversion and time-reversal symmetries, e.g., by the…