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We study the dynamic vortex Mott transition in two-dimensional superconducting arrays in a magnetic field with $f$ flux quantum per plaquette. The transition is induced by external driving current and thermal fluctuations near rational…

Superconductivity · Physics 2019-10-02 Enzo Granato

The paradigmatic Mott insulator arises in strongly correlated systems, where strong local repulsion localizes interacting particles in underlying egg-holder-like potential. The corresponding Mott transition reflects delocalization of the…

Superconductivity · Physics 2020-05-28 Andreas Glatz , Valerii Vinokur

We investigate magnetoresistance of a square array of superconducting islands placed on a normal metal, which offers a unique tunable laboratory for realizing and exploring quantum many-body systems and their dynamics. A vortex Mott…

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 explore vortex dynamics in a two-dimensional Josephson junction array of micron-size superconducting islands fabricated from an epitaxial Al/InAs superconductor-semiconductor heterostructure, with a global top gate controlling Josephson…

Superconductivity · Physics 2025-10-22 C. G. L. Bøttcher , F. Nichele , J. Shabani , C. J. Palmstrøm , C. M. Marcus

We study numerically the voltage-induced breakdown of a Mott insulating phase in a system of charged classical particles with long-range interactions. At half-filling on a square lattice this system exhibits Mott localization in the form of…

Strongly Correlated Electrons · Physics 2021-01-29 Louk Rademaker , Valerii V. Vinokur , Alexey Galda

We study the superconductor to insulator transition at zero temperature in a Josephson-junction array model on a honeycomb lattice with $f$ flux quantum per plaquette. The path integral representation of the model corresponds to a…

Superconductivity · Physics 2016-04-20 Enzo Granato

We present a finite temperature Monte Carlo study of the XY-model in the vortex representation, and study its dynamical critical behavior in two limits. The first neglects magnetic field fluctuations, corresponding to the absence of…

Superconductivity · Physics 2016-08-31 Jack Lidmar , Mats Wallin , Carsten Wengel , S. M. Girvin , A. P. Young

We study the scaling behavior and critical dynamics of the resistive transition in Josephson-junction arrays, at f=1/2 flux quantum per plaquette, by numerical simulation of an on-site dissipation model for the dynamics. The results are…

Superconductivity · Physics 2009-11-11 Enzo Granato , Daniel Dominguez

We study the dynamics of vortices in strongly disordered $d=2$ Josephson junction arrays and superconducting films driven by a current. We find a dynamic phase transition in vortex flow at a current $I_p>I_c$. Below $I_p$ there is plastic…

Superconductivity · Physics 2009-10-31 Daniel Dominguez

We study the dynamics of the Mott insulator-superfluid quantum phase transition in a periodic 1D array of Josephson junctions. We show that crossing the critical point diabatically i.e. at a finite rate with a quench time $\tau_Q$ induces…

Condensed Matter · Physics 2009-11-07 J. Dziarmaga , A. Smerzi , W. H. Zurek , A. R. Bishop

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 study the resistive transition in Josephson-junction arrays at $f=1/2$ flux quantum per plaquette by dynamical simulations of the resistively-shunted-junction model. The current-voltage scaling and critical dynamics of the phases are…

Superconductivity · Physics 2009-11-10 Enzo Granato , Daniel Dominguez

We study the zero-temperature phase transitions of two-dimensional superconducting arrays with both the self- and the junction capacitances in the presence of external magnetic fields. We consider two kinds of excitations from the Mott…

Superconductivity · Physics 2007-05-23 Beom Jun Kim , Gun Sang Jeon , M. -S. Choi , M. Y. Choi

The nature of the resistive transition for a current applied parallel to the magnetic field in high-Tc materials is investigated by numerical simulation on the three dimensional Josephson junction array model. It is shown by using finite…

supr-con · Physics 2009-10-28 E. A. Jagla , C. A. Balseiro

The dynamical vortex response of a two-dimensional array of the resistively shunted Josephson junctions in a perpendicular magnetic field is inferred from simulations. It is found that, as the magnetic field is increased at a fixed…

Superconductivity · Physics 2007-05-23 Beom Jun Kim , Petter Minnhagen

We numerically investigate dynamic critical behaviors of two-dimensional (2D) Josephson-junction arrays with positional disorder in the scheme of the resistively shunted junction dynamics. Large-scale computation of the current voltage…

Superconductivity · Physics 2009-11-11 Jaegon Um , Beom Jun Kim , Petter Minnhagen , M. Y. Choi , Sung-Ik Lee

We review our studies of elastic lattices driven by an external force $F$ in the presence of random disorder, which correspond to the case of vortices in superconducting thin films driven by external currents. Above a critical force $F_c$…

Superconductivity · Physics 2016-08-16 Alejandro B. Kolton , Daniel Domínguez

We report on a phenomenological study of superfluid to Mott insulator transitions of bosons on the triangular lattice, focusing primarily on the interplay between Mott localization and geometrical charge frustration at 1/2-filling. A…

Strongly Correlated Electrons · Physics 2009-11-11 A. A. Burkov , Leon Balents

The effects of random dilution of junctions on a two-dimensional Josephson-junction array in a magnetic field are considered. For rational values of the average flux quantum per plaquette $f$, the superconducting transition temperature…

Superconductivity · Physics 2009-10-31 M. Benakli , E. Granato , S. R. Shenoy , M. Gabay
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