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We show that some experimentally observed features of vortex matter in high temperature superconductors may be interpreted in simpler ways than it is usually done. In particular, we consider magnetic flux creep at low temperatures as well…

Superconductivity · Physics 2007-05-23 I. L. Landau , H. R. Ott

We show how to calculate semi-analytically the dense vortex state in strong type-II superconducting nanostructures. For the specific case of a strip, we find vortex lattice solutions which also incorporate surface superconductivity. We…

Superconductivity · Physics 2009-10-30 J. J. Palacios

A method is developed to compute minimal energy vortex lattices in a general Ginzburg-Landau model of a superconductor subjected to an applied magnetic field. The model may have any number of components and may be spatially anisotropic. The…

Superconductivity · Physics 2025-03-03 Martin Speight , Thomas Winyard

The current-carrying capacity of type-II superconductors is decisively determined by how well material defect structures can immobilize vortex lines. In order to gain deeper insights into the fundamental pinning mechanisms, we have explored…

Superconductivity · Physics 2017-11-29 R. Willa , A. E. Koshelev , I. A. Sadovskyy , A. Glatz

In type-I superconductors, zero electrical resistivity and perfect diamagnetism define two fundamental criteria for superconducting behavior. In contrast, type-II superconductors exhibit more complex mixed state physics, where magnetic flux…

The mixed state of type II superconductors has magnetic flux penetrating the sample in the form of vortices, with each vortex carrying an identical quantum of flux. These vortices generally form a triangular lattice under weak mutually…

Superconductivity · Physics 2007-05-23 P. Chaddah , S. B. Roy

Contents Preface I Electromagnetism of type II superconductors 1 General Statements Of The Critical State 1.1 The CS In The Maxwell Equations Formalism 1.2 The CS Regime And The MQS Limit 2 Variational Theory for CS Problems 2.1 General…

Superconductivity · Physics 2012-03-12 H. S. Ruiz

Vortex-line equilibrium configurations and critical currents for type-II superconducting films at zero-temperature are studied theoretically. The films are assumed to be of thickness less than or equal to the penetration depth, free of…

Superconductivity · Physics 2009-10-30 Gilson Carneiro

In the framework of the London approximation the magnetic flux penetration into a type-II superconductor filament surrounded by a soft-magnet sheath and exposed to a transverse external magnetic field is studied. The lower transverse…

Superconductivity · Physics 2009-11-10 S. V. Yampolskii , Yu. A. Genenko

We study the features of the superconductivity nucleation and vortex configurations in superconductors with modulated disorder. Using the Ginzburg-Landau-type theory with spatially varying diffusion coefficient, we uncover and explain the…

Superconductivity · Physics 2023-05-17 A. A. Kopasov , I. M. Tsar'kov , A. S. Mel'nikov

We investigate the relaxation dynamics of magnetic vortex lines in type-II superconductors following rapid changes of the external driving current by means of an elastic line model simulated with Langevin molecular dynamics. A system of…

Superconductivity · Physics 2016-08-22 Harshwardhan Chaturvedi , Hiba Assi , Ulrich Dobramysl , Michel Pleimling , Uwe C. Täuber

Inspired by the recent experiments in monolayer iron-based superconductors, we theoretically investigate properties of a two-dimensional multiband superconductor, focusing on two aspects. First, for vortex bound states, the spatial…

Superconductivity · Physics 2024-08-06 Haijiao Ji , Noah F. Q. Yuan

The article reviews recent developments on magnetic properties of superconductors with anisotropic Cooper pairing. In particular, we show how the concept of broken symmetries is applied to the investigation of the mixed state in…

Condensed Matter · Physics 2016-08-31 I. A. Luk'yanchuk , M. E. Zhitomirsky

A numerical scheme to study the mixed states in a mesoscopic type-II superconducting cylinder is described. Steady-state configurations and transient behavior of the magnetic vortices for various values of the applied magnetic field H are…

Superconductivity · Physics 2009-11-10 Sangbum Kim , Chia-Ren Hu , Malcolm J. Andrews

We employ an elastic line model to investigate the steady-state properties and non-equilibrium relaxation kinetics of magnetic vortex lines in disordered type-II superconductors using Langevin molecular dynamics (LMD). We extract the…

Superconductivity · Physics 2013-05-23 Ulrich Dobramysl , Hiba Assi , Michel Pleimling , Uwe C. Täuber

The equations of viscous evolution of 3D arbitrarily shaped vortices in an isotropic type II superconductor and necessary boundary conditions are formulated in the frame of London approximation. The theory is applied to analyse…

Superconductivity · Physics 2007-05-23 Yu. E. Kuzovlev

The information about the current-carrying ability of a type-II superconductor can be obtained by studying the flux relaxation and vortex penetration phenomena in the superconductor. In early studies, the infinite series models of the flux…

Superconductivity · Physics 2011-09-23 Rongchao Ma

The intermediate state of type-I superconductors presents a classic paradigm of modulated pattern formation, arising from the competition between short-range attractive and long-range repulsive vortex-vortex interactions. However, direct…

Superconductivity · Physics 2026-04-24 Xin-Sheng Gao , Qun Wang , Ya-Xun He , Xing-Jian Liu , Jun-Han Zhang , Kang-Hong Yin , Jia-Ying Zhang , Jun-Yi Ge

We study vortex structure in a two-band superconductor, in which one band is ballistic and quasi-two-dimensional (2D), and the other is diffusive and three-dimensional (3D). A circular cell approximation of the vortex lattice within the…

Superconductivity · Physics 2008-12-21 K. Tanaka , M. Eschrig

In a type II superconductor in a moderate magnetic field, the superconductor to normal state transition may be described as a phase transition in which the vortex lattice melts into a liquid. In a biaxial superconductor, or even a uniaxial…

Superconductivity · Physics 2009-11-07 E. W. Carlson , A. H. Castro Neto , D. K. Campbell