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We consider the Lawrence-Doniach model for layered superconductors, in which stacks of parallel superconducting planes are coupled via the Josephson effect. We assume that the superconductor is placed in an external magnetic field oriented…

Analysis of PDEs · Mathematics 2007-05-23 S. Alama , A. J. Berlinsky , L. Bronsard

We consider the ground state configurations of the Josephson vortex lattice in layered superconductors. Due to commensurability effects with the layered structure, the lattice has multiple configurations, both aligned with layers and…

Superconductivity · Physics 2007-05-23 A. E. Koshelev

A general phenomenological theory describing dynamics of Josephson vortices coupled to wide class of linear waves in layered high-T$_c$ superconductors is developed. The theory is based on hydrodynamic long wave approximation and describes…

Superconductivity · Physics 2010-01-05 A. V. Chiginev , V. V. Kurin

In quasi low dimensional superconductors under {\it parallel} magnetic fields applied along a conducting direction, vortex lattices with a modulation of Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) type {\it perpendicular} to the field may occur…

Superconductivity · Physics 2007-08-17 Ryusuke Ikeda , Hidehumi Nawata

We investigate dynamics of Josephson vortex lattice in layered high T$_{c}$ superconductors at high magnetic fields. It is shown that the average electric current depends on the lattice structure and is resonantly enhanced when the…

Superconductivity · Physics 2009-10-31 A. E. Koshelev , I. S. Aranson

Layered superconductors in tilted magnetic field have a very rich spectrum of vortex lattice configurations. In the presence of in-plane magnetic field, a small c-axis field penetrates in the form of isolated vortex chains. The structure of…

Superconductivity · Physics 2009-11-11 A. E. Koshelev

We analytically study stability of sliding lattice of Josephson vortices driven by a transport current in the stack direction in strong in-plane magnetic field. In contrast to recent findings we obtain that there are no diverse…

Superconductivity · Physics 2009-11-07 S. N. Artemenko , S. V. Remizov

The ground state of interlayer Josephson vortex systems is investigated on the basis of a simplified Lawrence-Doniach model in which spatial dependence of the gauge field and the amplitude of superconducting order parameter is not taken…

Superconductivity · Physics 2009-11-11 Yoshihiko Nonomura , Xiao Hu

We investigate the dynamics of the Josephson vortex lattice in layered high-T$_{c}$ superconductors at high magnetic fields. Starting from coupled equations for superconducting phases and magnetic field we derive equations for the relative…

Superconductivity · Physics 2009-11-07 A. E. Koshelev , I. Aranson

In very anisotropic layered superconductors a tilted magnetic field generates crossing vortex lattices of pancake and Josephson vortices (JVs). We study the properties of an isolated JV in the lattice of pancake vortices. JV induces…

Condensed Matter · Physics 2009-11-10 Alexei E. Koshelev

We study the effects of an $ab$-surface on the vortex-solid to vortex-liquid transition in layered superconductors in the limit of vanishing inter-layer Josephson coupling. We derive the interaction between pancake vortices in a…

Superconductivity · Physics 2009-11-11 A. De Col , G. I. Menon , V. B. Geshkenbein , G. Blatter

We present the first fully microscopic, self-consistent, and self-contained theory of superconducting weakly coupled periodic multilayers with tunnel barriers in the presence of externally applied parallel magnetic fields, in the local…

Superconductivity · Physics 2009-10-31 Sergey V. Kuplevakhsky

We consider dynamics of Josephson vortex lattice in layered superconductors with magnetic, charge (electrostatic) and charge-imbalance (quasiparticle) interactions between interlayer Josephson junctions taken into account. The macroscopic…

Superconductivity · Physics 2009-11-07 D. A. Ryndyk , V. I. Pozdnjakova , I. A. Shereshevskii , N. K. Vdovicheva

How the vortex lattice orders at long range in a layered superconductor with weak point pinning centers is studied through a duality analysis of the corresponding frustrated XY model. Vortex-glass order emerges out of the vortex liquid…

Superconductivity · Physics 2007-05-23 J. P. Rodriguez

In the presence of the Josephson vortex lattice in layered superconductors, a small c-axis magnetic field penetrates in the form of vortex chains. In general, the structure of a single chain is determined by the ratio of the London…

Superconductivity · Physics 2015-06-24 A. E. Koshelev

Superconductivity provides a canonical example of a quantum phase of matter. When superconducting islands are connected by Josephson junctions in a lattice, the low temperature state of the system can map to the celebrated XY model and its…

Quantum Physics · Physics 2018-08-29 R. Cosmic , Hiroki Ikegami , Zhirong Lin , Kunihiro Inomata , Jacob M. Taylor , Yasunobu Nakamura

The interaction of an edge dislocation made of half the superconducting plane with a magnetic interlayer vortex is considered within the framework of the Lawrence-Doniach model with negative as well as positive Josephson interlayer…

Condensed Matter · Physics 2016-08-31 A. B. Kuklov , A. Krakovsky , Joseph L Birman

Recent developments of the Josephson plasma resonance and transport c-axis measurements in layered high T$_{c}$ superconductors allow to probe Josephson coupling in a wide range of the vortex phase diagram. We derive a relation between the…

Superconductivity · Physics 2009-10-31 A. E. Koshelev , L. N. Bulaevskii , M. P. Maley

We calculate the field dependence of the critical current for the dense Josephson vortex lattice which is created by large magnetic field $B$ applied along the layers of atomically layered superconductors. In clean samples a finite critical…

Superconductivity · Physics 2009-11-07 A. E. Koshelev

The lattice effects on the current-voltage characteristics of two-dimensional arrays of resistively shunted Josephson junctions are investigated. The lattice potential energies due to the discrete lattice structure are calculated for…

Superconductivity · Physics 2007-05-23 Mina Yoon , M. Y. Choi , Beom Jun Kim
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