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The Josephson effect describes the flow of supercurrent in a weak link, such as a tunnel junction, nanowire, or molecule, between two superconductors. It is the basis for a variety of circuits and devices, with applications ranging from…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 L. Bretheau , Ç. Ö. Girit , Hugues Pothier , D. Esteve , C. Urbina

We have experimentally studied the energy levels of a mesoscopic SQUID using inelastic Cooper-pair tunneling. The tunneling in a small Josephson junction depends strongly on its electromagnetic environment. We use this fact to do energy…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 René Lindell , Jari Penttilä , Mika Sillanpää , Pertti Hakonen

We derive a generic phenomenological model of a Majorana Josephson junction that accounts for avoided crossing of Andreev states, and investigate its dynamics at constant bias voltage to reveal an unexpected pattern of any-\pi\ Josephson…

Superconductivity · Physics 2012-10-25 D. I. Pikulin , Yuli V. Nazarov

An atomic Josephson junction realized with dipolar bosons in a double-well potential can be described by an extended Bose-Hubbard model in which dipolar interactions generate an effective on-site interaction and nearest-neighbor pair…

Quantum Gases · Physics 2026-05-22 Cesare Vianello , Giovanni Mazzarella , Luca Salasnich

We consider the dynamics of a quantum phase-slip junction (QPSJ) -- a dual Josephson junction -- connected to a microwave source with frequency $\omega_\textrm{mw}$. With respect to an ordinary Josephson junction, a QPSJ can sustain dual…

Mesoscale and Nanoscale Physics · Physics 2015-05-21 Angelo Di Marco , Frank W. J. Hekking , Gianluca Rastelli

We study the Josephson effect in $s_{\pm}/I/s_{\pm}$ junctions made by two bands reversed sign s-wave ($s_{\pm}$) superconductive materials. We derive an equation providing the bound Andreev energy states parameterized by the band ratio…

Superconductivity · Physics 2013-01-30 C. Nappi , S. De Nicola , M. Adamo , E. Sarnelli

Josephson tunnel junctions are essential elements of superconducting quantum circuits. The operability of these circuits presumes a $2\pi$-periodic sinusoidal potential of a tunnel junction, but higher-order corrections to this Josephson…

Topological Josephson junctions enable nonreciprocal transport involving Majorana fermions (MFs). Here we examine a topological Josephson junction with mixed $s$+$p$-wave pairing, where topological phase transition can be driven by…

Superconductivity · Physics 2025-06-23 Shu-Tong Guan , Jin An

We introduce a new approach to the Josephson effect in SIS tunnel junctions. The Josephson coupling energy is calculated from the overlap of real space Cooper pair wavefunctions in two superconductors through an insulating barrier. It is…

Superconductivity · Physics 2007-05-23 Yong-Jihn Kim

We analyze the interplay of dissipative and quantum effects in the proximity of a quantum phase transition. The prototypical system is a resistively shunted two-dimensional Josephson junction array, studied by means of an advanced Fourier…

Statistical Mechanics · Physics 2007-05-23 Luca Capriotti , Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

We study junctions between superconductors mediated by the edge states of a quantum spin Hall insulator. We show that such junctions exhibit a fractional Josephson effect, in which the current phase relation has a 4\pi, rather than a 2\pi…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Liang Fu , C. L. Kane

We consider a finite-size topological Josephson junction formed at the edge of a two-dimensional topological insulator in proximity to conventional superconductors and study the impact of Cooper pair symmetries on the electron transport. We…

Superconductivity · Physics 2022-09-13 Jorge Cayao , Paramita Dutta , Pablo Burset , Annica M. Black-Schaffer

Due to their unique properties as lossless, nonlinear circuit elements, Josephson junctions lie at the heart of superconducting quantum information processing. Previously, we demonstrated a two-layer, submicrometer-scale overlap junction…

Macroscopic quantum tunneling (MQT) is a fundamental phenomenon of quantum mechanics related to the actively debated topic of quantum-to-classical transition. The ability to realize MQT affects implementation of qubit-based quantum…

Superconductivity · Physics 2015-06-17 Andrey Belkin , Maxim Belkin , Victor Vakaryuk , Sergei Khlebnikov , Alexey Bezryadin

In a short superconducting nanowire connected to bulk superconducting leads, quantum phase slips behave as a system of linearly (as opposed to logarithmically) interacting charges. This system maps onto quantum mechanics of a particle in a…

Superconductivity · Physics 2008-09-10 S. Khlebnikov

The Josephson plasma resonance in layered superconductors with alternating critical current densities is investigated in a low perpendicular magnetic field. In the vortex solid phase the current densities and the squared bare plasma…

Superconductivity · Physics 2009-11-07 L. N. Bulaevskii , Ch. Helm

In this letter we consider Andreev tunneling between a normal metal and a one dimensional Josephson junction array with finite-range Coulomb energy. The $I-V$ characteristics strongly deviate from the classical linear Andreev current. We…

Condensed Matter · Physics 2009-10-28 G. Falci , Rosario Fazio , A. Tagliacozzo , G. Giaquinta

We consider the supercurrent flow through gated mesoscopic semiconductor hetrostructures in which a two-dimensional normal constriction is confined between superconducting electrodes. We show that for these structures the Josephson current,…

Condensed Matter · Physics 2016-08-31 L. Y. Gorelik , V. S. Shumeiko , R. I. Shekhter , G. Wendin , M. ~Jonson

We study the combined effects of spin-orbit interaction, magnetic field, and Coulomb charging on the Josephson current-phase relation, I(\varphi), for a multi-level quantum dot tunnel-contacted by two conventional s-wave superconductors…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 A. Brunetti , A. Zazunov , A. Kundu , R. Egger

We analyze the properties of flat-band superconductor junctions that behave differently from ordinary junctions containing only metals with Fermi surfaces. In particular, we show how in the tunneling limit the critical Josephson current…

Superconductivity · Physics 2025-09-08 P. Virtanen , R. P. S. Penttilä , P. Törmä , A. Díez-Carlón , D. K. Efetov , T. T. Heikkilä