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We investigate the Josephson effect between two coupled superconductors, coupled by the tunneling of pairs of electrons, in the regime that their energy level spacing is comparable to the bulk superconducting gap, but neglecting any…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Dominique Gobert , Ulrich Schollwock , Jan von Delft

We have observed photon-assisted Cooper-pair tunneling in an atomic-scale Josephson junction formed between a superconducting Nb tip and a superconducting Nb sample in a scanning tunneling microscope (STM) at 30 mK. High-resolution…

Superconductivity · Physics 2015-10-23 A. Roychowdhury , M. Dreyer , J. R. Anderson , C. J. Lobb , F. C. Wellstood

In this paper we discuss solid-state nanoelectronic realizations of Josephson flux qubits with large tunneling amplitude between the two macroscopic states. The latter can be controlled via the height and wells form of the potential…

Superconductivity · Physics 2013-04-02 V. I. Shnyrkov , A. A. Soroka , S. I. Melnik

We derive a mesoscopic theory of the Josephson junction from non-relativistic scalar electrodynamics. Our theory reproduces the Josephson relations with the canonical current phase relation acquiring a weak second harmonic term, and it…

Quantum Physics · Physics 2025-05-27 Thomas J. Maldonado , Hakan E. Türeci , Alejandro W. Rodriguez

In the Josephson effect, coherent Cooper pair tunneling is driven by the phase difference between the superconducting order parameters on opposite sides of the junction. By analogy, differences in order parameters across a junction should…

Strongly Correlated Electrons · Physics 2008-11-20 D. Chassé , A. -M. S. Tremblay

We calculate both the DC and the AC Josephson current through a one-dimensional system of interacting electrons, connected to two superconductors by tunnel junctions. We treat the (repulsive) Coulomb interaction in the framework of the…

Condensed Matter · Physics 2009-10-28 Rosario Fazio , F. W. J. Hekking , A. A. Odintsov , 11 pages RevTex , 9 figures

Ultra-small Josephson junctions are strongly influenced by noise and damping due to energy dissipation into the environment, which are expected to suppress phase coherence. Here, we investigate the coherence properties of atomic-scale…

Mesoscale and Nanoscale Physics · Physics 2025-10-01 Martina Trahms , Bharti Mahendru , Clemens B. Winkelmann , Katharina J. Franke

The quantised Josephson junction equation that underpins the behaviour of charge qubits and other tunnel devices is usually derived through cannonical quantisation of the classical macroscopic Josephson relations. However, this approach may…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. A. Rodrigues , T. P. Spiller , J. F. Annett , B. L. Györffy

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

Exploiting the recently derived quantum Smoluchowski equation the classical Ivanchenko Zil'berman theory for overdamped diffusive phase motion of low capacitance Josephson junctions is extended to the low temperature quantum domain where…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Joachim Ankerhold

In this work, we investigate the Josephson effect between a two-band superconductor either with the $s++$ (two energy gaps have the same sign and are fully gapped) pairing symmetry or $s\pm$ (two energy gaps have $\pi$ phase difference and…

Superconductivity · Physics 2012-07-12 Shi-Zeng Lin

In this study, we explore the Josephson current-phase relation within a planar diffuse tunneling superconducting multilayer junction subjected to a parallel magnetic field. Our investigation involves computing the supercurrent associated…

Superconductivity · Physics 2024-06-19 A. S. Osin , Alex Levchenko , Maxim Khodas

We develop a microscopic model to describe the Josephson dynamics between two superfluid reservoirs of ultracold fermionic atoms which accounts for the dependence of the critical current on both the barrier height and the interaction…

Quantum Gases · Physics 2019-12-04 Matteo Zaccanti , Wilhelm Zwerger

The critical current density (Jc) through a superconductor in high magnetic fields is controlled by the inclusions and microstructure of the material that hold fluxons stationary to keep the resistance zero and is described using…

Superconductivity · Physics 2013-11-26 George J. Carty , Damian P. Hampshire

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…

We apply a Gutzwiller-like variational technique to study Josephson conduction across a quantum dot with an odd number of electrons connected to two superconducting leads. We show that, for small values of the superconducting gap, Kondo…

Strongly Correlated Electrons · Physics 2007-05-23 G. Campagnano , D. Giuliano , A. Tagliacozzo

We study large arrays of mesoscopic junctions between gapless superconductors where the tunneling processes of both, particle-hole and Cooper, pairs give rise to a strongly retarded effective action which, contrary to the standard case, can…

Superconductivity · Physics 2015-05-28 D. V. Khveshchenko , R. Crooks

Specific features of the equilibrium current-carrying state of a Josephson tunnel junction between diffusive superconductors are studied theoretically in the 1D geometry. It is found that the Josephson current induces localized states of…

Superconductivity · Physics 2014-12-03 E. V. Bezuglyi , E. N. Bratus' , V. P. Galaiko

We study the Josephson-like spin currents between two ferromagnetic metals by deriving the effective action of the junction. A DC spin Josephson current with the full O(3) symmetry is obtained. By the analogy to the superconducting…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yu-Li Lee , Yu-Wen Lee

We present a theoretical study of an escape rate for switching from the superconducting state to a resistive one in series arrays of strongly interacting Josephson junctions. At low temperatures such a switching is determined by macroscopic…

Superconductivity · Physics 2007-05-23 M. V. Fistul