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The dynamics of 2D pancake vortices in Josephson-coupled superconducting/normal - metal multilayers is considered within the time-dependent Ginzburg-Landau theory. For temperatures close to $T_{c}$ a viscous drag force acting on a moving 2D…

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

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

The ground state with vorticity larger than one in mesoscopic superconductors in applied magnetic field may manifest as a `giant'-vortex, where all vortices coalesce into a single singularity of the order parameter. Such a multi-quanta…

Superconductivity · Physics 2011-07-04 Ben Xu , M. V. Milošević , Shi-Hsin Lin , F. M. Peeters , B. Jankó

We investigate the metastability associated with the first order transition from normal to superfluid phases in the phase diagram of two-component polarised Fermi gases.We begin by detailing the dominant decay processes of single…

Quantum Gases · Physics 2015-03-17 Kayvan Sadeghzadeh , Georg Bruun , Carlos Lobo , Pietro Massignan , Alessio Recati

The peak effect in weakly pinned superconductors is accompanied by metastable vortex states. Each metastable vortex configuration is characterized by a different critical current density J_c, which mainly depends on the past thermomagnetic…

In this paper we consider the asymptotic behavior of the Ginzburg- Landau model for superconductivity in 3-d, in various energy regimes. We rigorously derive, through an analysis via {\Gamma}-convergence, a reduced model for the vortex…

Mathematical Physics · Physics 2015-05-27 Sisto Baldo , Robert L. Jerrard , Giandomenico Orlandi , Mete Soner

Starting from the Ginzburg-Landau free energy of a type II superconductor in a magnetic field we estimate the energy associated with two vortices crossing. The calculations are performed by assuming that we are in a part of the phase…

Condensed Matter · Physics 2009-10-22 M. A. Moore , N. K. Wilkin

We consider a two-dimensional Ginzburg-Landau problem on an arbitrary domain with a finite number of vanishingly small circular holes. A special choice of scaling relation between the material and geometric parameters (Ginzburg-Landau…

Analysis of PDEs · Mathematics 2017-01-27 Leonid Berlyand , Dmitry Golovaty , Oleksandr Iaroshenko , Volodymyr Rybalko

The motion of a vortex-(anti)vortex pair is studied numerically in the framework of a dynamical Ginzburg-Landau model, relevant to the description of a superconductor or of an idealized bosonic plasma. It is shown that up to a fine…

High Energy Physics - Theory · Physics 2009-10-30 G. N. Stratopoulos , T. N. Tomaras

We use Time-Dependent Ginzburg-Landau theory to study the nucleation of vortices in type II superconductors in the presence of both geometric and material inhomogeneities. The superconducting Meissner state is meta-stable up to a critical…

Computational Physics · Physics 2020-04-29 Alden R. Pack , Jared Carlson , Spencer Wadsworth , Mark K. Transtrum

Magnetic properties of layered high temperature superconductors with a weak interlayer coupling in the region of the critical fluctuations are investigated in the framework of the Ginzburg--Landau approach. The sample magnetization is…

Superconductivity · Physics 2007-05-23 Gregory M. Braverman

We show in the case of a superconducting Nb ladder that a mesoscopic superconductor typically exhibits magnetoresistance oscillations whose amplitude and temperature dependence are different from those stemming from the Little-Parks effect.…

Superconductivity · Physics 2015-06-05 G. R. Berdiyorov , M. V. Milošević , M. L. Latimer , Z. L. Xiao , W. K. Kwok , F. M. Peeters

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 present the first fully microscopic, self-consistent, and self-contained theory of superconducting weakly coupled periodic multilayers with tunnel barriers in the presence of externally applied parallel magnetic fields, in the local…

Superconductivity · Physics 2009-10-31 Sergey V. Kuplevakhsky

We study the influence of thermal fluctuations on the magnetic behavior of square mesoscopic superconductors. The strength of thermal fluctuations are parameterized using the Ginzburg number, which is small ($G_i \approx 10^{-10}$) in…

Superconductivity · Physics 2009-11-11 Alexander D. Hernandez , B. J. Baelus , Daniel Dominguez , F. M. Peeters

Microwave spectroscopy of individual vortex-state magnetic nano-disks in a perpendicular bias magnetic field, $H$, is performed using a magnetic resonance force microscope (MRFM). It reveals the splitting induced by $H$ on the gyrotropic…

We predict that in a bulk type-1.5 superconductor the competing magnetic responses of the two components of the order parameter can result in a vortex interaction that generates group-stabilized giant vortices and unusual vortex rings in…

Superconductivity · Physics 2011-04-20 V. H. Dao , L. F. Chibotaru , T. Nishio , V. V. Moshchalkov

The nematic-superconductor state is an example of a quantum liquid crystal that breaks gauge as well as rotation invariance. It was conjectured to exist in the pseudogap regime of the cuprates high $T_c$ superconductors. The…

Superconductivity · Physics 2016-11-18 Daniel G. Barci , Rafael V. Clarim , Nei L. Silva Júnior

We extend the classical theory for supercooling across first order phase transitions to the case when both density and temperature are control variables. The observable region of metastability then depends on the path followed in this space…

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

We study a variational Ginzburg-Landau type model depending on a small parameter $\varepsilon>0$ for (tangent) vector fields on a $2$-dimensional Riemannian manifold $S$. As $\varepsilon\to 0$, these vector fields tend to have unit length…

Analysis of PDEs · Mathematics 2019-10-08 Radu Ignat , Robert L. Jerrard