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The Ginzburg Landau theory for d_{x^2-y^2}-wave superconductors is constructed, by starting from the Gor'kov equation with including correction terms up to the next order of ln(T_c/T). Some of the non-local correction terms are found to…

supr-con · Physics 2009-10-30 Naoki Enomoto , Masanori Ichioka , Kazushige Machida

The dynamics of tilted vortex lines in Josephson-coupled layered superconductors is considered within the time-dependent Ginzburg-Landau theory. The frequency and angular dependences of the complex-valued vortex mobility $\mu$ are studied.…

Condensed Matter · Physics 2009-10-28 A. S. Mel'nikov

The mechanism of high-temperature superconductivity remains one of the great challenges of contemporary physics. Here, we review efforts to image the vortex lattice in copper oxide-based high-temperature superconductors and to measure the…

We have numerically investigated the dynamics of vortices in a clean layered superconductor placed in a perpendicular magnetic field. We describe the energetics using a Ginzburg-Landau free energy functional in the lowest Landau level…

Superconductivity · Physics 2007-05-23 W. A. Al-Saidi , D. Stroud

Recent theoretical understanding of the vortex phase diagram in real layered type II superconductors is briefly described in both cases with fields perpendicular (B \parallel c) and parallel (B \perp c) to the superconducting layers. The…

Superconductivity · Physics 2007-05-23 Ryusuke Ikeda

With increasing applied current we show that the moving vortex lattice changes its structure from a triangular one to a set of parallel vortex rows in a pinning free superconductor. This effect originates from the change of the shape of the…

Superconductivity · Physics 2009-11-13 D. Y. Vodolazov , F. M. Peeters

We investigate the behavior of vortices of multi-component superconductivity, realized in $\rm{MgB_2}$ and Fe-based superconductors, within the framework of Ginzburg-Landau (GL) theory in terms of numerical calculations of the…

Superconductivity · Physics 2011-12-05 Shi-Zeng Lin , Xiao Hu

The vortex lattice in a Type II superconductor provides a versatile model system to investigate the order-disorder transition in a periodic medium in the presence of random pinning. Here, using scanning tunnelling spectroscopy in a weakly…

Local density of states (LDOS) in the triangular vortex lattice is investigated based on the quasi-classical Eilenberger theory. We consider the case of an isotropic s-wave superconductor with the material parameter appropriate to NbSe_2.…

Superconductivity · Physics 2016-08-31 Masanori Ichioka , Nobuhiko Hayashi , Kazushige Machida

We study the effect of the superconducting gap nodes on the vortex lattice properties of high temperature superconductors at very low temperatures. The nonlinear, nonlocal and nonanalytic nature of this effect is shown to have measurable…

Superconductivity · Physics 2009-10-30 M. H. S. Amin , Ian Affleck , M. Franz

To identify the contributions of the multiband nature and the anisotropy of a microscopic electronic structure to a macroscopic vortex lattice morphology, we develop a method based on the Eilenberger theory near Hc2 combined with the…

Superconductivity · Physics 2014-04-22 Tomoya Hirano , Kenta Takamori , Masanori Ichioka , Kazushige Machida

We consider a superfluid of trapped fermionic atoms and study the single vortex solution in the Ginzburg-Landau regime. We define simple analytical estimates for the main characteristics of the system, such as the vortex core size,…

Superconductivity · Physics 2009-11-07 M. Rodriguez , G. -S. Paraoanu , P. Torma

We investigate the order - disorder transition line from a Bragg glass to an amorphous vortex glass in the H-T phase diagram of three-dimensional type-II superconductors with account of both pinning-caused and thermal fluctuations of the…

Superconductivity · Physics 2009-11-07 Grigorii P. Mikitik , Ernst Helmut Brandt

We show that a superconducting vortex in underdoped high T_c superconductors could have an antiferromagnetic core. This type of vortex configuration arises as a topological solution in the recently constructed SO(5) nonlinear sigma model…

Superconductivity · Physics 2008-11-26 Daniel P. Arovas , A. J. Berlinsky , C. Kallin , Shou-Cheng Zhang

Muon-spin rotation has been used to probe vortex state in Sr$_2$RuO$_4$. At moderate fields and temperatures a lattice of triangular symmetry is observed, crossing over to a lattice of square symmetry with increasing field and temperature.…

Superconductivity · Physics 2014-03-10 S. J. Ray , A. S. Gibbs , S. J. Bending , P. J. Curran , E. Babaev , C. Baines , A. P. Mackenzie , S. L. Lee

Abrikosov's solution of the linearized Ginzburg-Landau theory describing a periodic lattice of vortex lines in type-II superconductors at large inductions, is generalized to non-periodic vortex arrangements, e.g., to lattices with a vacancy…

Superconductivity · Physics 2008-06-09 Ernst Helmut Brandt

A theoretical study of toroidal membranes with various degrees of intrinsic orientational order is presented at mean-field level. The study uses a simple Ginzburg-Landau style free energy functional, which gives rise to a rich variety of…

Condensed Matter · Physics 2009-10-22 R. M. L. Evans

The superfluid density is calculated theoretically for incompressible vortex lattices in two dimensions that have isolated dislocations quenched in by a random arrangement of pinned vortices. The latter are assumed to be sparse and to be…

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

Thermodynamic stability of composite vortex in a two-component superconductor is investigated by the Ginzburg-Landau theory. The predicted nature of these vortices has recently attracted much attention. Here we consider axially symmetric…

Superconductivity · Physics 2013-05-29 Jun-Ping Wang

We study the vortex formation in extreme type-II superconductors immersed in strong magnetic fields in the framework of the the Ginzburg-Landau theory. We focus on the regime where superconductivity survives in the bulk of the material but…

Mathematical Physics · Physics 2025-08-18 M. Correggi , A. Kachmar
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