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With magnetic force microscopy in mind, we study the unbinding transition of individual flux lines from extended defects like columnar pins and twin planes in type II superconductors. In the presence of point disorder, the transition is…

Statistical Mechanics · Physics 2007-05-23 Yariv Kafri , David R. Nelson , Anatoli Polkovnikov

Using a two-coil mutual inductance method, we have measured the complex resistivity, rho_v(T,Be), of pinned vortices in c-axis pulsed laser deposited YBa2Cu3O7-d films with magnetic field Be applied perpendicular to the film. At low…

Superconductivity · Physics 2009-10-31 Aaron A. Pesetski , Thomas R. Lemberger

The superconducting transition of a two-dimensional (2D) Josephson junction array exposed to weak magnetic fields has been studied experimentally. Resistance measurements reveal a superconducting-resistive phase boundary in serious…

Superconductivity · Physics 2009-11-11 In-Cheol Baek , Young-Je Yun , Mu-Yong Choi

We have investigated the magnetization properties and flux dynamics of superconducting Cu$_x$TiSe$_2$ single crystals within wide range of copper concentrations. We find that the superconducting anisotropy is low and independent on copper…

Superconductivity · Physics 2013-10-08 P. Husanikova , J. Fedor , J. Derer , J. Soltys , V. Cambel , M. Iavarone , S. J. May , G. Karapetrov

We have investigated the vortex dynamics in superconducting thin film devices with non-uniform patterns of artificial pinning centers (APCs). The magneto-transport properties of a conformal crystal and a randomly diluted APC pattern are…

Superconductivity · Physics 2015-06-16 S. Guénon , Y. J. Rosen , Ali C. Basaran , Ivan K. Schuller

In superconductors, the motion of vortices introduces unwanted dissipation that is disruptive to applications. Fortunately, material defects can immobilize vortices, acting as vortex pinning centers, which engenders dramatic improvements in…

Superconductivity · Physics 2021-09-14 Serena Eley , Andreas Glatz , Roland Willa

In a convex domain $\O\subset\R^3$, we consider the minimization of a 3D-Ginzburg-Landau type energy $E_\v(u)=1/2\int_\O|\n u|^2+\frac{1}{2\v^2}(a^2-|u|^2)^2$ with a discontinuous pinning term $a$ among $H^1(\O,\C)$-maps subject to a…

Analysis of PDEs · Mathematics 2012-09-03 Mickaël Dos Santos

The vortex lattice is an ideal system to study the competition and interplay between interaction and disorder. New results on 2H-NbSe_2 (in samples of progressively increasing pinning) elucidate how pinning alters the phase boundary…

Superconductivity · Physics 2008-02-03 S. S. Banerjee

Disorder induced melting, where the increase in positional entropy created by random pinning sites drives the order-disorder transition in a periodic solid, provides an alternate route to the more conventional thermal melting. Here, using…

As was firstly shown by E. Bogomolny, the critical Ginzburg-Landay (GL) parameter kappa =1/sqrt{2} at which a superconductor changes its behavior from type-I to type-II, is the special highly degenerate point where Abrikosov vortices do not…

Superconductivity · Physics 2009-02-05 I. Luk'yanchuk

We investigate vortex pinning in thin superconducting films with a square array of rectangular submicron holes ("antidots"). Two types of antidots are considered: antidots fully perforating the superconducting film, and "blind antidots",…

Superconductivity · Physics 2009-11-10 L. Van Look , B. Y. Zhu , R. Jonckheere , B. R. Zhao , Z. X. Zhao , V. V. Moshchalkov

Measurements of the high-frequency complex resistivity in superconductors are a tool often used to obtain the vortex parameters, such as the vortex viscosity, the pinning constant and the depinning frequency. In anisotropic superconductors,…

Superconductivity · Physics 2018-07-04 Nicola Pompeo , Enrico Silva

Superconductors often contain quantized microscopic whirlpools of electrons, called vortices, that can be modeled as one-dimensional elastic objects. Vortices are a diverse playground for condensed matter because of the interplay between…

In the mixed state of type II superconductors, vortices penetrate the sample and form a correlated system due to the screening of supercurrents around them. Interestingly, we can study this correlated system as a function of density and…

Superconductivity · Physics 2009-11-10 M. Hilke , S. Reid , R. Gagnon , Z. Altounian

In single crystals of 2H-NbSe2, we identify for the first time a crossover from weak collective to strong pinning regime in the vortex state which is not associated with the peak effect phenomenon. Instead, we find the crossover is…

Superconductivity · Physics 2007-05-23 Shyam Mohan , Jaivardhan Sinha , S. S. Banerjee , Yuri Myasoedov

Recently it was discovered that the non-uniform Meissner current flowing around the pinning sites in the type-II superconductor induces the unconventional vortex-antivortex pairs with the non-quantized magnetic flux [J.-Y. Ge, et al., Nat.…

Superconductivity · Physics 2016-06-06 S. Mironov , Zh. Devizorova , A. Clergerie , A. Buzdin

We study the effects of flux creep on the linear AC response of the vortex lattice in single crystals Ca$_3$Ir$_4$Sn$_{13}$ by measuring the Campbell penetration depth, $\lambda_{\rm \scriptscriptstyle C}(T,H,t)$. Thermal fluctuations…

We consider extreme type-II superconductors modeled by the Ginzburg--Landau energy with a pinning term $a_\varepsilon(x)$, which we assume to be a bounded measurable function such that $b\leq a_\varepsilon(x)\leq 1$ for some constant $b>0$.…

Analysis of PDEs · Mathematics 2024-10-31 Matías Díaz-Vera , Carlos Román

We review in these notes the dynamics of extended condensed matter systesm, such as vortex lattices in type-II superconductors and charge density waves in anisotropic metals, driven over quenched disorder. We focus in particular on the case…

Soft Condensed Matter · Physics 2015-06-25 M. Cristina Marchetti

Strong pinning of superconducting flux quanta by a square array of 1 $\mu$m-sized ferromagnetic dots in a magnetic-vortex state was visualized by low-temperature magnetic force microscopy (LT-MFM). A direct correlation of the…

Superconductivity · Physics 2010-03-18 T. Shapoval , V. Metlushko , M. Wolf , B. Holzapfel , V. Neu , L. Schultz