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Numerical simulations of the current-voltage characteristics of an ordered two-dimensional Josephson junction array at an irrational flux quantum per plaquette are presented. The results are consistent with an scaling analysis which assumes…

Condensed Matter · Physics 2009-10-28 Enzo Granato

To study the properties of frustrated two-dimensional Josephson junction arrays near incommensurability, we examine the current-voltage characteristics of a square proximity-coupled Josephson junction array at a sequence of frustrations…

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

We investigate the quantum phase transitions in two capacitively coupled two-dimensional Josephson-junction arrays with charge frustration. The system is mapped onto the S=1 and $S=1/2$ anisotropic Heisenberg antiferromagnets near the…

Condensed Matter · Physics 2009-10-31 Minchul Lee , Mahn-Soo Choi , M. Y. Choi

We carry out extensive Monte Carlo simulations on the Coulomb gas dual to the uniformly frustrated two dimensional XY model, for a sequence of frustrations f converging to the irraltional (3-sqrt 5)/2. We find in these systems a sharp first…

Statistical Mechanics · Physics 2009-10-30 Pramod Gupta , S. Teitel , Michel J. P. Gingras

The relation between superconductivity and time-reversal symmetry (TRS) is one of the most fascinating problems in condensed matter physics. Although most superconductors inherently possess TRS, nonmagnetic disorder can induce states that…

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 localization effects in Josephson junctions with two superconductors connected by a strongly disordered metallic wire of length $L$. The conventional description of the Josephson effect in such systems, based on the quasiclassical…

Mesoscale and Nanoscale Physics · Physics 2025-03-21 Mustafa E. Ismagambetov , Aleksey V. Lunkin , Pavel M. Ostrovsky

The superconducting transition of a two-dimensional (2D) Josephson junction array exposed to weak magnetic fields has been studied experimentally. Resistance measurements reveal a superconducting-resistive phase boundary in serious…

Superconductivity · Physics 2009-11-11 In-Cheol Baek , Young-Je Yun , Mu-Yong Choi

We use a driven Monte Carlo dynamics in the phase representation to determine the linear resistivity and current-voltage scaling of a two-dimensional Josephson-junction array at an irrational flux quantum per plaquette. The results are…

Superconductivity · Physics 2009-11-13 Enzo Granato

We have studied the rationally frustrated Josephson-junction array model in the square lattice through Monte Carlo simulations of $(2+1)$D XY-model. For frustration $f=1/4$, the model at zero temperature shows a continuous…

Strongly Correlated Electrons · Physics 2009-11-07 Hunpyo Lee , Min-Chul Cha

We have investigated numerically the phase--locking behavior of two-dimensional Josephson junction arrays,taking into account a finite inductance ($l\stackrel{>}{\sim}1$) of the unit cell and external magnetic fields. Within this model we…

Condensed Matter · Physics 2009-10-22 W. Krech , K. Yu. Platov

Disordered superconductors in low dimensions provide an exemplary manifestation for the role of quantum fluctuations in a many-body system. Specifically in Josephson arrays with comparable Josephson and charging energies ($E_J\sim E_C$),…

Superconductivity · Physics 2025-12-24 Eyal Walach , Efrat Shimshoni

We use driven Monte Carlo dynamics to study the resistive behavior of superconducting Josephson junction arrays on a honeycomb lattice in a magnetic field corresponding to $f$ flux quantum per plaquette. While for $f=1/3$ the onset of zero…

Superconductivity · Physics 2013-03-26 Enzo Granato

We propose novel model system for the studies of superconductor-insulator transitions, which is a regular lattice, whose each link consists of Josephson-junction chain of $N \gg 1$ junctions in sequence. The theory of such an array is…

Superconductivity · Physics 2022-06-01 I. V. Protopopov , M. V. Feigel'man

The seminal theoretical works of Berezinskii, Kosterlitz, and Thouless presented a new paradigm for phase transitions in condensed matter that are driven by topological excitations. These transitions have been extensively studied in the…

Quantum Physics · Physics 2020-09-16 R. Cosmic , K. Kawabata , Y. Ashida , H. Ikegami , S. Furukawa , P. Patil , J. M. Taylor , Y. Nakamura

The phase diagram of a two-dimensional Josephson array of mesoscopic objects is examined. Quantum fluctuations in both the modulus and phase of the superconducting order parameter are taken into account within a lattice boson Hubbard model.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. I. Belousov , S. A. Verzakov , Yu. E. Lozovik

By employing mutual-inductance technique and using a high-sensitive bridge, we have thoroughly investigated (both experimentally and theoretically) the temperature and magnetic field dependence of complex AC susceptibility of artificially…

Superconductivity · Physics 2011-01-28 Fernando M. Araujo-Moreira , Sergei Sergeenkov

Effects of non-magnetic disorder on the critical temperature T_c and on diamagnetism of quasi-one-dimensional superconductors are reported. The energy of Josephson-coupling between wires is considered to be random, which is typical for…

Superconductivity · Physics 2015-05-27 E. Nakhmedov , R. Oppermann

We theoretically study the coupling of electric charge and spin polarization in an equilibrium and nonequilibrium electric transport across a two dimensional Josephson configuration comprised of disordered surface channels of a three…

Strongly Correlated Electrons · Physics 2016-10-12 I. V. Bobkova , A. M. Bobkov , Alexander A. Zyuzin , Mohammad Alidoust

Chiral order of the Josephson-junction ladder with half a flux quantum per plaquette is studied by means of the exact diagonalization method. We consider an extreme quantum limit where each superconductor grain (order parameter) is…

Condensed Matter · Physics 2009-10-31 Yoshihiro Nishiyama