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Coulomb drag and depinning are electronic transport phenomena that occur in low-dimensional nanostructures. Recently, both phenomena have been reported in bilinear Josephson junction arrays. These devices provide a unique opportunity to…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Samuel A. Wilkinson , Nicolas Vogt , Jared H. Cole

We study a 1-D array of Josephson coupled superconducting grains with kinetic inductance which dominates over the Josephson inductance. In this limit the dynamics of excess Cooper pairs in the array is described in terms of charge solitons,…

Condensed Matter · Physics 2009-10-28 Ziv Hermon , Eshel Ben-Jacob , Gerd Schön

We investigate collective Cooper-pair transport of one- and two-dimensional Josephson junction arrays in the insulating state. We derive an analytical expression for the current-voltage characteristic revealing thermally activated…

Superconductivity · Physics 2009-11-13 M. V. Fistul , V. M. Vinokur , T. I. Baturina

Experiments on one-dimensional small capacitance Josephson Junction arrays are described. The arrays have a junction capacitance that is much larger than the stray capacitance of the electrodes, which we argue is important for observation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. B. Haviland , K. Andersson , P. Agren

We investigate theoretically transport properties of one- and two-dimensional regular Josephson junction arrays (JJAs) in an insulating state. We derive the low-temperature current-voltage characteristics for the current mediated by the…

Superconductivity · Physics 2008-06-27 M. V. Fistul , V. M. Vinokur , T. I. Baturina

We consider one-dimensional bosonic chains with a repulsive boson-boson interaction that decays exponentially on large length-scales. This model describes transport of Cooper-pairs in a Josepshon junction array, or transport of magnetic…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 Nicolas Vogt , Jared H. Cole , Alexander Shnirman

We consider a one-dimensional Josephson junction array, in the regime where the junction charging energy is much greater than the charging energy of the superconducting islands. In this regime we critically reexamine the continuum limit…

Superconductivity · Physics 2009-11-10 V. Gurarie , A. M. Tsvelik

We present measurements on one-dimensional Josephson junction arrays formed by a chain of SQUID loops in the regime where $E_J / E_c\simeq 1$. We observe a blockaded zero current branch for small bias voltages. Above a certain voltage…

Mesoscale and Nanoscale Physics · Physics 2013-10-17 Roland Schäfer , Wanyin Cui , Kai Grube , Hannes Rotzinger , Alexey V. Ustinov

We consider microscopically low-temperature transport in weakly disordered arrays of Josephson junctions in the Coulomb blockade regime. We demonstrate that at sufficiently low temperatures the main contribution to the dc conductivity comes…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. V. Syzranov , K. B. Efetov , B. L. Altshuler

We present a study of quantum phase analysis of inhomogeneous and homogeneous arrays of superconducting quantum dots (SQD). We observe the existance of Josephson decouple (JD) phase only at the half filling for inhomogeneous array of SQD…

Mesoscale and Nanoscale Physics · Physics 2009-10-29 Sujit Sarkar

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

The standard theory of dynamical Coulomb blockade [$P(E)$ theory] in ultra-small tunnel junctions has been formulated on the basis of phase-phase correlations by several authors. It was recently extended by several experimental and…

Mesoscale and Nanoscale Physics · Physics 2020-12-22 Godwill Mbiti Kanyolo , Hiroshi Shimada

We examine the phase diagram of an ordered one-dimensional Josephson array of small grains. The average grain charge in such a system can be tuned by means of gate voltage. At small grain-to-grain conductance, this system is strongly…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 L. I. Glazman , A. I. Larkin

The influence of radio frequency microwaves on the Coulomb blockade characteristics in small Josephson junctions was studied using a one-dimensional array of ten small Al tunnel junctions in the frequency range from 1 MHz to 1000 MHz.…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 Godwill Mbiti Kanyolo , Kouichi Takeda , Yoshinao Mizugaki , Takeo Kato , Hiroshi Shimada

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

We investigate the charge transport in one-dimensional arrays of Josephson junctions. In the interesting regime of "small charge solitons" (polarons), the charge dynamics is strongly influenced by the polaronic effects, i.e., by dressing of…

Superconductivity · Physics 2012-03-01 Jens Homfeld , Ivan Protopopov , Stephan Rachel , Alexander Shnirman

We have measured the current-voltage characteristics of small-capacitance single Josephson junctions at low temperatures (T < 0.04 K), where the strength of the coupling between the single junction and the electromagnetic environment was…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Michio Watanabe , David B. Haviland

We study the phase diagram at finite temperature of Josephson junction arrays with capacitive disorder (i.e., random offset charges and/or random charging energies): in the limit of large particle numbers per junction, this is a remarkable…

Superconductivity · Physics 2007-05-23 F. P. Mancini , P. Sodano , A. Trombettoni

Directed motion and depinning of topological solitons in a strongly discrete damped and biharmonically ac-driven array of Josephson junctions is studied. The mechanism of the depinning transition is investigated in detail. We show that the…

Pattern Formation and Solitons · Physics 2015-06-03 Yaroslav Zolotaryuk

As the size of a Josephson junction is reduced, charging effects become important and the superconducting phase across the link turns into a periodic quantum variable. Isolated Josephson junction arrays are described in terms of such…

Superconductivity · Physics 2009-11-07 D. A. Ivanov , L. B. Ioffe , V. B. Geshkenbein , G. Blatter
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