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The vortex state of mesoscopic three-dimensional superconductors is determined using a minimization procedure of the Ginzburg-Landau free energy. We obtain the vortex pattern for a mesoscopic superconducting sphere and find that vortex…

Superconductivity · Physics 2007-12-27 Mauro M. Doria , Antonio R. de C. Romaguera , F. M. Peeters

Motivated by the superconductivity of $M_x$Bi$_2$Se$_3$, we study topological excitations in a nematic superconductor using Ginzburg-Landau theory. An isolated excitation at low field is shown to be either a distorted phase vortex or a…

Superconductivity · Physics 2020-11-11 Pye Ton How , Sung-Kit Yip

The high field magnetization and magneto transport measurements are carried out to determine the critical superconducting parameters of MgB2-xCx system. The synthesized samples are pure phase and the lattice parameters evaluation is carried…

Superconductivity · Physics 2015-05-13 Monika Mudgel , L. S. Sharath Chandra , V. Ganesan , G. L. Bhalla , H. Kishan , V. P. S. Awana

In framework of Ginzburg-Landau model it is shown that narrow superconducting film with width w ~ 3-8 \xi(T) (\xi(T) is a temperature dependent coherence length) exhibits unusual transport properties. In the absence of bulk pinning its…

Superconductivity · Physics 2014-11-18 D. Y. Vodolazov

Making use of the extended Ginzburg Landau theory, which includes the fourth order derivative term, we study the vortex state in a magnetic field parallel to the $ c$ axis. The vortex core structure is distorted due to this higher order…

Condensed Matter · Physics 2009-09-25 Jun'ichi Shiraishi , Mahito Kohmoto , Kazumi Maki

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

Using Ginzburg-Landau theory, we have performed detailed studies of vortices in the presence of artificial defect arrays, for a thin film geometry. We show that when a vortex approaches the vicinity of a defect, an abrupt transition occurs…

Superconductivity · Physics 2009-11-07 D. J. Priour , H. A. Fertig

Superconductivity in the presence of a step magnetic field has been recently the focus of many works. This contribution examines the behavior of a two-dimensional superconducting domain, when superconductivity is lost in the whole domain…

Mathematical Physics · Physics 2020-10-28 Wafaa Assaad

On the basis of the time-dependent Ginzburg-Landau equation we studied the dynamics of the superconducting condensate in a wide two-dimensional sample in the presence of a perpendicular magnetic field and applied current. We could identify…

Superconductivity · Physics 2009-11-10 D. Vodolazov , B. J. Baelus , F. M. Peeters

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

We show that a magnetic strip on top of a superconducting strip magnetized in a specified direction may considerably enhance the critical current in the sample. At fixed magnetization of the magnet we observed diode effect - the value of…

Superconductivity for Type II superconductors in external magnetic fields of magnitude between the second and third critical fields is known to be restricted to a narrow boundary region. The profile of the superconducting order parameter in…

Spectral Theory · Mathematics 2010-05-27 Søren Fournais , Bernard Helffer , Mikael Persson

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

Thermodynamics of type II superconductors in electromagnetic field based on the Ginzburg - Landau theory is presented. The Abrikosov flux lattice solution is derived using an expansion in a parameter characterizing the "distance" to the…

Superconductivity · Physics 2015-05-13 Baruch Rosenstein , Dingping Li

The use of artificial defects is known to enhance the superconducting critical parameters of thin films. In the case of conventional superconductors, regular arrays of submicron holes (antidots) substantially increase the critical…

Superconductivity · Physics 2009-11-10 A. V. Silhanek , L. Van Look , R. Jonckheere , B. Y. Zhu , S. Raedts , V. V. Moshchalkov

A new description is proposed for the low-field critical behavior of type-II superconductors. The starting point is the Ginzburg-Landau theory in presence of an external magnetic field H. A set of fictitious vortex variables and a singular…

Condensed Matter · Physics 2009-10-28 Zlatko Tesanovic

A superconducting rod with a magnetic moment on top develops vortices obtained here through 3D calculations of the Ginzburg-Landau theory. The inhomogeneity of the applied field brings new properties to the vortex patterns that vary…

Superconductivity · Physics 2015-05-14 Antonio R. de C. Romaguera , Mauro M. Doria , F. M. Peeters

We consider a thin superconducting film with a magnetic dot with permanent magnetization (normal to the film) placed on it by a method based on London-Maxwell equations. For sufficiently high dot magnetization a single vortex appears in the…

Superconductivity · Physics 2009-01-14 Zoran Ristivojevic

By using the full 3D generalized time dependent Ginzbug-Landau equation we study a long superconducting film of finite width and thickness under an applied transport current. We show that, for sufficiently large thickness, the vortices and…

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