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Disordered hyperuniformity is a state of matter which has isotropic liquid like properties while simultaneously having crystalline like properties such as little variation in the density fluctuations over long distances. Such states arise…

Superconductivity · Physics 2017-09-20 Q. Le Thien , D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

Superconductors exhibit dissipationless supercurrents even under finite bias and magnetic field conditions, provided these remain below the critical values. However, type-II superconductors in the flux flow regime display Ohmic dissipation…

Superconductivity · Physics 2025-05-26 Minseong Kwon , Mingi Kim , Yoonji Gong , Heeyeon Lee , Young Duck Kim

The elementary vortex pinning potential is studied in unconventional superconductors within the framework of the quasiclassical theory of superconductivity. Numerical results are presented for d-, anisotropic s-, and isotropic s-wave…

Superconductivity · Physics 2009-11-07 Nobuhiko Hayashi , Yusuke Kato

We study a model for the pinning of vortices in a two-dimensional, inhomogeneous, Type-II superconductor in its mixed state. The model is based on a Ginzburg-Landau (GL) free energy functional whose coefficients are determined by the…

Superconductivity · Physics 2009-11-13 Daniel Valdez-Balderas , David Stroud

The key ingredient of high critical currents in a type-II superconductor is defect sites that 'pin' vortices. Contrary to earlier understanding on nano-patterned artificial pinning, here we show unequivocally the advantages of a random…

Superconductivity · Physics 2016-01-13 Y. L. Wang , L. R. Thoutam , Z. L. Xiao , B. Shen , J. E. Pearson , R. Divan , L. E. Ocola , G. W. Crabtree , W. K. Kwok

Vortex motion plays a central role in determining the resistance of two-dimensional superconductors, both in the context of the Berezinskii-Kosterlitz-Thouless (BKT) transition and in the mixed state of type-II superconductors under…

Superconductivity · Physics 2025-06-09 Zhipeng Xu , Kun Jiang , Jiangping Hu

We present a comprehensive overview of vortex pinning in single crystals of the isovalently substituted iron-based superconductor BaFe$_{2}$(As$_{1-x}$P$_{x}$)$_{2}$, a material that qualifies as an archetypical clean superconductor,…

Studies involving vortex dynamics and their interaction with pinning centers are an important ingredient to reach higher critical currents in superconducting materials. The vortex distribution around arrays of engineered defects, such as…

Most of 2D superconductors are of type II, i.e., they are penetrated by quantized vortices when exposed to out-of-plane magnetic fields. In presence of a supercurrent, a Lorentz-like force acts on the vortices, leading to drift and…

Large scale numerical simulations are used to study the elastic dynamics of two-dimensional vortex lattices driven on a disordered medium in the case of weak disorder. We investigate the so-called elastic depinning transition by decreasing…

Statistical Mechanics · Physics 2015-06-12 N. Di Scala , E. Olive , Y. Lansac , Y. Fily , J. C. Soret

The two-dimensional (2D) vortex lattice in the extreme type-II limit is studied by Monte Carlo simulation of the corresponding 2D Coulomb gas, with identical pins placed at sites coinciding with the zero-temperature triangular vortex…

Superconductivity · Physics 2009-11-07 C. E. Creffield , J. P. Rodriguez

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

Destruction of the vortex lattice by random point pinning is considered as a mechanism of the ``second peak'' transition observed experimentally in weakly coupled layered high temperature superconductors. The transition field separating the…

Superconductivity · Physics 2009-10-31 A. E. Koshelev , V. M. Vinokur

The vortex-lattice melting line in three-dimensional type-II superconductors with pinning is derived by equating the free energies of the vortex system in the solid and liquid phases. We account for the elastic and pinning energies and the…

Superconductivity · Physics 2009-11-10 G. P. Mikitik , E. H. Brandt

The model of the Abrikosov vortex pinning on a cylindrical defect is proposed. It is shown that in the limit $\varkappa \gg 1$ the potential for the vortex core excitations can be treated in terms of the zero-range potentials method. Using…

Superconductivity · Physics 2010-08-20 V. L. Kulinskii , D. Yu. Panchenko

Local magnetic measurements are used to quantitatively characterize heterogeneity and flux line pinning in PrFeAsO_1-y and NdFeAs(O,F) superconducting single crystals. In spite of spatial fluctuations of the critical current density on the…

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 pinning of vortex lines by an array of nanoparticles embedded inside superconductors has become the most efficient practical way to achieve high critical currents. In this situation pinning occurs via trapping of the vortex-line…

Superconductivity · Physics 2011-10-07 Alexei E. Koshelev , Alejandro B. Kolton

The interrelation between heterogeneity and flux pinning is studied in Ba(Fe1-xCox)2As2 single crystals with widely varying Co-content x. Magnetic Bitter decoration of the superconducting vortex ensemble in crystals with x = 0:075 and x =…

A vortex line passes through as many pinning centers as possible on its way from one extremety of the superconductor to the other at the expense of increasing its self-energy. In the framework of the Ginzburg-Landau theory we study the…

Superconductivity · Physics 2007-05-23 Antonio R. de C. Romaguera , Mauro M. Doria