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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

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

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 have studied the magnetic-field-driven quantum phase transitions in Josephson junction arrays with a large coordination number. The characteristic energies were extracted in both the superconducting and insulating phases by integrating…

Disordered Systems and Neural Networks · Physics 2012-01-04 J. Paramanandam , M. T. Bell , L. B. Ioffe , M. E. Gershenson

We show that a system of Josephson junctions coupled via low-resistance tunneling contacts to graphene substrate(s) may effectively operate as a current switching device. The effect is based on the dissipation-driven…

Superconductivity · Physics 2009-11-13 Roman M. Lutchyn , Victor Galitski , Gil Refael , S. Das Sarma

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 have studied the phase diagram of two capacitively coupled Josephson junction arrays with charging energy, $E_c$, and Josephson coupling energy, $E_J$. Our results are obtained using a path integral Quantum Monte Carlo algorithm. The…

Statistical Mechanics · Physics 2009-11-10 Guillermo Ramirez-Santiago , Jorge V. Jose

An array of resistively and capacitively shunted Josephson junctions with nonsinusoidal current-phase relation is considered for modelling the transition in high-T$_c$ superconductors. The emergence of higher harmonics, besides the simple…

Superconductivity · Physics 2011-01-04 A. Carbone , M. Gilli , P. Mazzetti , L. Ponta

The critical behavior of frustrated Josephson-junction arrays at $f=1/2$ flux quantum per plaquette is considered. Results from Monte Carlo simulations and transfer matrix computations support the identification of the critical behavior of…

Condensed Matter · Physics 2009-10-28 Enzo Granato , J. M. Kosterlitz , M. P. Nightingale

We examine the possibility that pertinent impurities in a condensed matter system may help in designing quantum devices with enhanced coherent behaviors. For this purpose, we analyze a field theory model describing Y- shaped superconducting…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. Giuliano , P. Sodano

We experimentally studied the effect of positional disorder on a Josephson junction array with $f = n$, ${1/2} + n$, or ${2/5} + n$ flux quanta per unit cell for integral $n$. This system provides an experimental realization of a…

Superconductivity · Physics 2007-05-23 Young-Je Yun , In-Cheol Baek , Mu-Yong Choi

The coherence of superconductivity and its suppression near a quantum phase transition is governed by the interplay between local pairing and macroscopic phase coherence. Using scanning SQUID, we image the local susceptibility in a hybrid…

We investigate the quantum phase transition in a one-dimensional chain of ultra-small superconducting grains, considering both the self- and junction capacitances. At zero temperature, the system is transformed into a two-dimensional system…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Mahn-Soo Choi , J. Yi , M. Y. Choi , J. Choi , S. -I. Lee

Using exact numerical diagonalization and the conformal field theory approach, we study the effect of magnetic frustrations due to diagonal exchange bonds in a system of two coupled mixed-spin $(1,{1/2})$ Heisenberg chains. It is…

Strongly Correlated Electrons · Physics 2009-11-10 N. B. Ivanov , J. Richter

We present results from an extensive analytic and numerical study of a two-dimensional model of a square array of ultrasmall Josephson junctions. We include the ultrasmall self and mutual capacitances of the junctions, for the same…

Superconductivity · Physics 2016-08-15 Cristian Rojas , Jorge V. José

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

We study the frustration pattern of a square lattice with in-situ fabricated Nb-Pt-Nb four-terminal Josephson junctions. The four-terminal geometry gives rise to a checker board pattern of alternating fluxes f, f' piercing the plaquettes,…

We study the energy spectrum for an aperiodic Josephson junction ladder, as a function of frustration. Frustration is brought about by application of a transverse magnetic field, and aperiodicity is imposed by the arrangement of plaquettes…

Superconductivity · Physics 2011-05-17 Y. Azizi , M. R. Kolahchi , J. P. Straley

We study the phase diagram and quantum critical properties of a resistively shunted Josephson junction array in one dimension from a strong coupling analysis. After mapping the dissipative quantum phase model to an effective sine-Gordon…

Superconductivity · Physics 2007-05-23 Pallab Goswami , Sudip Chakravarty

We derive a uniformly frustrated $XY$ model that describes two-dimensional Josephson-junction arrays consisting of rotating Bose-Einstein condensates trapped by both a harmonic trap and a corotating deep optical lattice. The harmonic trap…

Statistical Mechanics · Physics 2009-11-13 Kenichi Kasamatsu