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We study the quantum phase transitions in two-dimensional arrays of Josephson-couples junctions with short range Josephson couplings (given by the Josephson energy) and the charging energy. We map the problem onto the solvable quantum…

Superconductivity · Physics 2009-11-11 T. P. Polak , T. K. Kopec

The effects of the charging energy in the superconducting transition of granular materials or Josephson junction arrays is investigated using a pseudospin one model. Within a mean-field renormalization-group approach, we obtain the phase…

Condensed Matter · Physics 2009-10-22 E. Granato , M. A. Continentino

The properties of Josephson devices are strongly affected by geometrical effects such as those associated with the magnetic field induced by the bias current. The generally adopted analysis of Owen and Scalapino [{\it Phys. Rev.}{\bf 164},…

Superconductivity · Physics 2013-04-18 Roberto Monaco , Valery P. Koshelets , Anna Mukhortova , Jesper Mygin

An electrical circuit consisting of two capacitively coupled inductive loops, each interrupted by a Josephson junction, is analyzed through the classical RSCJ model. The same circuit has recently been studied experimentally and the results…

Superconductivity · Physics 2009-02-18 James A. Blackburn , Jeffrey E. Marchese , Matteo Cirillo , Niels Grønbech-Jensen

We consider theoretically and numerically magnetic field dependencies of the maximum supercurrent across Josephson tunnel junctions with spatially alternating critical current density. We find that two flux-penetration fields and…

Superconductivity · Physics 2009-11-13 Maayan Moshe , C. W. Schneider , G. Bensky , R. G. Mints

The effect of external radiation on the phase dynamics of Josephson junctions shunted by an LC circuit is examined. It is shown that additional resonant circuit (rc) branches appear in the current voltage characteristics of the junctions…

Superconductivity · Physics 2014-05-16 Yu. M. Shukrinov , I. R. Rahmonov , K. V. Kulikov , P. Seidel

We propose and theoretically investigate spin superconducting qubits. Spin superconducting qubit consists of a single spin confined in a Josephson junction. We show that owing to spin-orbit interaction, superconducting difference across the…

Mesoscale and Nanoscale Physics · Physics 2012-12-07 C. Padurariu , Yu. V. Nazarov

A Josephson junction embedded in a dissipative circuit can be externally driven to induce nonlinear dynamics of its phase. Classically, under sufficiently strong driving and weak damping, dynamic multi-stability emerges associated with…

Mesoscale and Nanoscale Physics · Physics 2019-05-08 Jennifer Gosner , Björn Kubala , Joachim Ankerhold

The Josephson effect is a fundamental quantum phenomenon consisting in the appearance of a dissipationless supercurrent in a weak link between two superconducting (S) electrodes. While the mechanism leading to the Josephson effect is quite…

Mesoscale and Nanoscale Physics · Physics 2017-04-13 J. Paajaste , E. Strambini , M. Amado , S. Roddaro , P. San-Jose , R. Aguado , F. S. Bergeret , D. Ercolani , L. Sorba , F. Giazotto

We develop a theory for the quantum circuit consisting of a superconducting loop interrupted by four Josephson junctions and pierced by a magnetic flux (either static or time-dependent). In addition to the similarity with the typical…

Quantum Physics · Physics 2016-08-04 Yueyin Qiu , Wei Xiong , Xiao-Ling He , Tie-Fu Li , J. Q. You

We report a theoretical study of the low-frequency impedance of a Josephson junction chain whose parameters vary in space. Our goal is to find the optimal spatial profile which maximizes the total inductance of the chain without shrinking…

Mesoscale and Nanoscale Physics · Physics 2017-05-30 D. V. Nguyen , D. M. Basko

We study the influence of dissipation on the switching current statistics of moderately damped Josephson junctions. Different types of both low- and high- $T_c$ junctions with controlled damping are studied. The damping parameter of the…

Superconductivity · Physics 2011-03-11 V. M. Krasnov , T. Golod , T. Bauch , P. Delsing

We have measured the current-voltage characteristics of a Josephson junction with tunable Josephson energy $E_J$ embedded in an inductive environment provided by a chain of SQUIDs. Such an environment induces localization of the charge on…

Mesoscale and Nanoscale Physics · Physics 2015-08-25 T. Weißl , G. Rastelli , I. Matei , I. M. Pop , O. Buisson , F. W. J. Hekking , W. Guichard

When a small system is coupled to a bath, it is generally assumed that the state of the bath remains unaffected by the system due to the bath's large number of degrees of freedom. Here we show theoretically that this assumption can be…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Samuel Cailleaux , Quentin Ficheux , Nicolas Roch , Denis M. Basko

A theoretical study is presented on a number N of resistively shunted Josephson junctions connected in parallel as a disordered 1D array by superconducting wiring in such a manner that there are N-1 individual SQUID loops with arbitrary…

Superconductivity · Physics 2016-08-31 Ch. Haeussler , J. Oppenlaender , N. Schopohl

We consider the hybrid setup formed by a metallic dot, capacitively coupled to a superconducting island S connected to a bulk superconductor by a Josephson junction. Charge fluctuations in S act as a dynamical gate and overscreen the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Cecilia Holmqvist , Denis Feinberg , Alex Zazunov

Numerical investigation of the effects of junction geometry on the performance of the flux-flow type Josephson oscillator has been done. Using direct simulation of the sine-Gordon equation with account of RC load the spectral and power…

Superconductivity · Physics 2011-09-15 Leonid S. Revin , Andrey L. Pankratov

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

Superconductivity is a result of quantum coherence at macroscopic scales. Two superconductors separated by a metallic or insulating weak link exhibit the AC Josephson effect - the conversion of a DC voltage bias into an AC supercurrent.…

Superconductivity · Physics 2018-01-31 Thomas McDermott , Hai-Yao Deng , Andreas Isacsson , Eros Mariani

We develop a theory of Coulomb oscillations in superconducting devices in the limit of small charging energy $E_C \ll \Delta$. We consider a small superconducting grain of finite capacity connected to two superconducting leads by nearly…

Condensed Matter · Physics 2009-10-30 D. A. Ivanov , M. V. Feigel'man
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