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We investigate the nature of the phase transition occurring in a planar XY-model spin system with dipole-dipole interactions. It is demonstrated that a Berezinskii-Kosterlitz-Thouless (BKT) type of phase transition always takes place at a…

Statistical Mechanics · Physics 2014-05-09 A. Yu. Vasiliev , A. E. Tarkhov , L. I. Menshikov , P. O. Fedichev , Uwe R. Fischer

We have measured the magnetic flux noise in a two-dimensional Josephson junction array in nominally zero magnetic field, in the vicinity of the superconducting transition. This transition is of the Berezinski-Kosterlitz-Thouless (BKT) type,…

Superconductivity · Physics 2009-11-07 S. Candia , Ch. Leemann , S. Mouaziz , P. Martinoli

We investigate quantum phase transitions in a topological Josephson junction with an embedded ferromagnetic layer, revealing a rich landscape of critical phenomena. The low-energy excitations comprise Majorana fermions propagating along the…

Mesoscale and Nanoscale Physics · Physics 2025-05-26 Adrian Reich , Dmitriy S. Shapiro , Alexander Shnirman

We investigate the Josephson effect through a two-level quantum dot with an exchange coupling between two dot electrons. We compute the superconducting phase relationship and construct the phase diagram in the superconducting gap--exchange…

Mesoscale and Nanoscale Physics · Physics 2011-08-25 Minchul Lee , Thibaut Jonckheere , Thierry Martin

We discuss the crucial role played by finite-size effects and inhomogeneity on the Beresinkii-Kosterlitz-Thouless (BKT) transition in two-dimensional superconductors. In particular, we focus on the temperature dependence of the resistivity,…

Superconductivity · Physics 2010-01-11 L. Benfatto , C. Castellani , T. Giamarchi

The Berezinskii-Kosterlitz-Thouless (BKT) phase transition is considered in the condition of lowest temperatures, when thermal fluctuations give place to quantum ones. For this goal, the critical dynamic of the Sine-Gordon model near the…

Statistical Mechanics · Physics 2021-04-23 Mikhail Vasin

We study the effect of thermal fluctuations in a fully frustrated Josephson junction array driven by a current I larger than the apparent critical current I_c(T). We calculate numerically the behavior of the chiral order parameter of Z_2…

Superconductivity · Physics 2016-08-31 Veronica I. Marconi , Daniel Dominguez

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 Josephson current-phase characteristics, that arise when a supercurrent flows across two fermionic superfluids separated by a potential barrier, can be controlled by varying either the inter-particle coupling or the temperature. While…

Superconductivity · Physics 2020-10-21 Verdiana Piselli , Stefano Simonucci , Giancarlo Calvanese Strinati

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

Not so long ago, thermoelectricity in superconductors was believed to be possible only by breaking explicitly the particle-hole symmetry. Recently, it has been theoretically predicted that a superconducting tunnel junction can develop…

We discuss some of the basic theoretical aspects of current-carrying states in superconducting superlattices with tunnel barriers in the mesoscopic regime, when the superconducting layer thickness is small compared to the BCS coherence…

Condensed Matter · Physics 2009-10-31 S. V. Kuplevakhsky , A. V. Naduev , S. V. Naydenov

Two dimensional systems with U(1) symmetry exhibit a peculiar phase, i.e., the Berezinskii-Kosterlitz-Thouless (BKT) phase. In particular situations, the BKT phase exists as an intermediate temperature phase. There have been scenarios for…

Statistical Mechanics · Physics 2015-11-10 Masamichi Nishino , Seiji Miyashita

We study the subgap spectrum of the interacting single-level quantum dot coupled between two superconducting reservoirs, forming the Josephson-type circuit, and additionally hybridized with a metallic normal lead. This system allows for the…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Tadeusz Domański , Martin Žonda , Vladislav Pokorný , Grzegorz Górski , Václav Janiš , Tomáš Novotný

We have measured the Cooper Pair Transistor (CPT) in a tunable electromagnetic environment consisting of four one-dimensional SQUID arrays. The transport properties of the CPT in the high impedance limit, Z_env>>R_Q=6.45~k\Omega, are…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Corlevi , W. Guichard , F. W. J. Hekking , D. B. Haviland

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 report measurements of the dependence on magnetic field and array size of the resistive transition of Josephson junction arrays with long-range interaction. Because every wire in these arrays has a large number of nearest-neighbors (9 or…

Superconductivity · Physics 2009-10-30 H. R. Shea , M. Tinkham

We study the statistical mechanics of two-dimensional "super-Coulombic" plasmas, namely, neutral plasmas with power-law interactions longer-ranged than Coulomb. To that end, we employ numerically exact large-scale Monte Carlo simulations.…

Statistical Mechanics · Physics 2025-12-30 Ayush De , Leo Radzihovsky , Snir Gazit

The superconductor-insulator transition (SIT) in regular arrays of Josephson junctions is studied at low temperatures. Near the transition a Ginzburg-Landau type action containing the imaginary time is derived. The new feature of this…

Superconductivity · Physics 2015-05-18 S. V. Syzranov , I. L. Aleiner , B. L. Altshuler , K. B. Efetov

We show that the zero-temperature physics of planar Josephson junction arrays in the self-dual approximation is governed by an Abelian gauge theory with periodic mixed Chern-Simons term describing the charge-vortex coupling. The periodicity…

High Energy Physics - Theory · Physics 2009-10-28 M. C. Diamantini , P. Sodano , C. A. Trugenberger