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Exact analytical results are obtained for the flux-pinning-induced magnetostriction in cylindrical type-II superconductors placed in parallel magnetic field. New modes of irreversible deformation are found: In contrast to the circular…

Superconductivity · Physics 2009-10-30 T. H. Johansen , J. Lothe , H. Bratsberg

This is an analytical study of pinning and spontaneous vortex phase is a system consisting of a superconducting thin film pierced by a long ferromagnetic columnar defect of finite radius $R$. The magnetic fields, screening currents, energy…

Superconductivity · Physics 2007-05-23 M. Amin Kayali

The critical current density shown by a superconductor at the extreme type-II limit is predicted to follow an inverse square-root power law with external magnetic field if the vortex lattice is weakly pinned by material line defects. It…

Superconductivity · Physics 2007-05-23 J. P. Rodriguez , M. P. Maley

Material defects in hard type II superconductors pin the flux lines and thus establish the dissipation-free current transport in the presence of a finite magnetic field. Depending on the density and pinning force of the defects and the…

Superconductivity · Physics 2009-11-10 G. Blatter , V. B. Geshkenbein , J. A. G. Koopmann

A variety of soft and hard condensed matter systems are known to form stripe patterns. Here we use numerical simulations to analyze how such stripe states depin and slide when interacting with a random substrate and with driving in…

Soft Condensed Matter · Physics 2015-05-20 C. J. Olson Reichhardt , C. Reichhardt , A. R. Bishop

A critical value in the product of the anisotropy parameter and the magnetic field is observed in interlayer Josephson-vortex systems by extensive Monte Carlo simulations. Below/above this critical value the thermodynamic phase transition…

Superconductivity · Physics 2009-10-31 Xiao Hu , Masashi Tachiki

A simplified model of anisotropic magnetic susceptibility in the Meissner-London vortex-free state of cuboidal superconducting samples is presented. Using this model, precision measurements of the magnetic response in three perpendicular…

Superconductivity · Physics 2024-11-28 Ruslan Prozorov

We study extreme type-II superconductors described by the three dimensional magnetic Ginzburg-Landau functional incorporating a pinning term $a_\varepsilon(x)$, which we assume to be a bounded measurable function satisfying $b\leq…

Analysis of PDEs · Mathematics 2025-07-16 Matías Díaz-Vera , Carlos Román

We consider the Bean's critical state model for anisotropic superconductors. A variational problem solved by the quasi--static evolution of the internal magnetic field is obtained as the $\Gamma$-limit of functionals arising from the…

Analysis of PDEs · Mathematics 2019-07-25 G. Crasta , A. Malusa

The pinning of quantized flux lines, or vortices, in the mixed state is used to quantify the effect of impurities in iron-based superconductors (IBS). Disorder at two length scales is relevant in these materials. Strong flux pinning…

The intrinsic pinning in high-temperature superconductor with long range antiferromagnetic order of rare-earth ions confined to the isolating planes is described. The interaction of antiferromagnetic and superconducting subsystems in the…

Superconductivity · Physics 2009-10-30 Tomasz Krzyszton

The nonlinear surface impedance of a thin superconducting strip carrying a microwave current has been calculated numerically from first principles based upon flux penetration due to a current-induced critical state. The calculations…

Superconductivity · Physics 2007-05-23 T. Dasgupta , Durga P. Choudhury , S. Sridhar

We investigate driven magnetic flux lines in layered type-II superconductors subject to various configurations of strong point or columnar pinning centers by means of a three-dimensional elastic line model and Metropolis Monte Carlo…

Superconductivity · Physics 2010-01-05 T. Klongcheongsan , T. J. Bullard , U. C. Tauber

The upper critical field in type II superconductors is limited by the Pauli paramagnetic limit. In superconductors with strong Rashba spin-orbit coupling this limit can be overcome by forming a helical state. Here we quantitatively study…

Superconductivity · Physics 2021-01-27 L. A. B. Olde Olthof , J. R. Weggemans , G. Kimbell , J. W. A. Robinson , X. Montiel

The tilt modulus of a defective Abrikosov vortex lattice pinned by material line defects is computed using the boson analogy. It tends to infinity at long wavelength, which yields a Bose glass state that is robust to the addition of weak…

Superconductivity · Physics 2007-12-05 J. P. Rodriguez

Theoretical work predicts that the strong dependence of Tc on pure shear strain within the a-b plane of optimally doped YBa2Cu3O{7-delta} results in heterogenous columnar pins of vortex lines about dislocation lines and about nano-columns…

Superconductivity · Physics 2009-10-06 J. P. Rodriguez , E. J. Oswald

We study the properties of the upper critical field of superconductivity in nodal-line semimetals in a continuous model, which has a nodal-line on the $k_{z} = 0$ plane. Using the semiclassical Green's function method, we calculate the…

Superconductivity · Physics 2023-04-12 Junya Endo , Hiroyasu Matsuura , Masao Ogata

Superconductors can support large dissipation-free electrical currents only if vortex lines are effectively immobilized by material defects. Macroscopic critical currents depend on elemental interactions of vortices with individual pinning…

Superconductivity · Physics 2018-09-12 Roland Willa , Alexei E. Koshelev , Ivan A. Sadovskyy , Andreas Glatz

The interplay between disorder and vortex--vortex interactions in strongly disordered superconductors in a magnetic field can stabilize a vortex-glass state, characterized by strong pinning and the absence of positional order. Yet its role…

The induced electric field $\vec{E}(\vec{x})$ during magnetic flux entry in superconductors with arbitrary cross section $\Omega$ and general critical current law, has been evaluated by integration along the vortex penetration paths.…

Superconductivity · Physics 2016-08-16 A. Badía-Majós , C. López