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One of the most promising routes for achieving unprecedentedly high critical currents in superconductors is to incorporate dispersed, non-superconducting nanoparticles to control the dissipative motion of vortices. However, these inclusions…

The nonlinear Ginzburg-Landau equations are solved numerically in order to investigate the vortex structure in thin superconducting disks of arbitrary shape. Depending on the size of the system and the strength of the applied magnetic field…

Superconductivity · Physics 2007-05-23 F. M. Peeters , B. J. Baelus

In the main part of this PhD thesis, we consider a periodically realized microscopic superconductor described by BCS theory, which is subject to external electromagnetic fields. We show that the superconductor is properly described by…

Mathematical Physics · Physics 2022-10-11 Marcel Maier

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

We develop the Ginzburg-Landau theory of the vortex lattice in clean isotropic three-dimensional superconductors at large Maki parameter, when inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov state is favored. We show that diamagnetic…

Superconductivity · Physics 2015-03-31 M. Houzet , V. P. Mineev

We show that while orbital magnetic field and disorder, acting individually weaken superconductivity, acting together they produce an intriguing evolution of a two-dimensional type-II s-wave superconductor. For weak disorder, the critical…

Superconductivity · Physics 2023-10-30 Anushree Datta , Anurag Banerjee , Nandini Trivedi , Amit Ghosal

The superconducting fluctuations well inside the normal state of Fe-based superconductors were experimentally studied through the in-plane paraconductivity in several high-quality optimally-doped BaFe$_{2-x}$Ni$_x$As$_2$ crystals. These…

Within the Ginzburg-Landau model we study the critical field and temperature enhancement for crossing superconducting channels formed either along the sample edges or domain walls in thin-film magnetically coupled superconducting -…

It was recently shown that conventional phonon-electron interactions induce triplet pairing states in time-reversal invariant 3D Dirac semi - metals provided magnetic impurities or exchange interactions are strong enough?. The order…

Superconductivity · Physics 2015-02-02 Baruch Rosenstein , Boris Ya. Shapiro , Irina Shapiro

The superconducting state of a thin superconducting disk with a hole is studied within the non-linear Ginzburg-Landau theory in which the demagnetization effect is accurately taken into account. We find that the flux through the hole is not…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. J. Baelus , F. M. Peeters , V. A. Schweigert

The vortex dynamics in superconducting films deposited on top of a five-fold Penrose array of magnetic dots is studied by means of transport measurements. We show that in the low pinning regime (demagnetized dots) a few periodic and…

Superconductivity · Physics 2009-11-11 A. V. Silhanek , W. Gillijns , V. V. Moshchalkov , B. Y. Zhu , J. Moonens , L. H. A. Leunissen

We study the instability of the superconducting state in a mesoscopic geometry for the low pinning material Mo$_3$Ge characterized by a large Ginzburg-Landau parameter. We observe that in the current driven switching to the normal state…

Superconductivity · Physics 2016-03-17 G. Grimaldi , A. Leo , P. Sabatino , G. Carapella , A. Nigro , S. Pace , V. V. Moshchalkov , A. V. Silhanek

The penetration depth l_j in superconducting junctions is identified within the Ginzburg-Landau theory as a function of the interfacial pair breaking, of the magnetic field and of the Josephson coupling strength. When the interfacial pair…

Superconductivity · Physics 2014-05-26 Yu. S. Barash

We consider singular limits of the three-dimensional Ginzburg-Landau functional for a superconductor with thin-film geometry, in a constant external magnetic field. The superconducting domain has characteristic thickness on the scale…

Analysis of PDEs · Mathematics 2012-09-18 Stan Alama , Lia Bronsard , Bernardo Galvão-Sousa

The coexistence of the superconductivity and magnetism in the Ho$_{1-x}$Dy$_x$Ni$_2$B$_2$C is studied by using Ginzburg-Landau theory. This alloy shows the coexistence and complex interplay of superconducting and magnetic order. We propose…

Superconductivity · Physics 2009-10-31 Hyeonjin Doh , Manfred Sigrist , B. K. Cho , Sung-Ik Lee

The magnetic field probability P(B) is calculated from the Ginzburg-Landau theory for various lattices of vortex lines in type-II superconductors: Ideal triangular lattices, lattices with various shear strains and with a super lattice of…

Superconductivity · Physics 2009-11-13 Ernst Helmut Brandt

We discuss a new class of phenomena based on strong interaction between magnetic superstructures and vortices in superconductors in combined heterogeneous structures. An inhomogeneous magnetization can pin vortices or create them…

Materials Science · Physics 2007-05-23 Igor F. Lyuksyutov , Valery Pokrovsky

A controlled local enhancement of superconductivity yields unexpected modifications in the vortex dynamics. This local enhancement has been achieved by designing an array of superconducting Nb nanostructures embedded in a V superconducting…

This is a model study for the emergence of superconductivity in ferromagnetically ordered phases of cubic materials whose crystal structure lacks inversion symmetry. A Ginzburg-Landau-type theory is used to find the ferromagnetic state and…

Superconductivity · Physics 2011-10-20 Titus Neupert , Manfred Sigrist

I present a Ginzburg-Landau theory for hexagonal oscillations of the upper critical field of UPt$_3$ near $T_c$. The model is based on a $2D$ representation for the superconducting order parameter, $\vec{\eta}=(\eta_1,\eta_2)$, coupled to…

Condensed Matter · Physics 2016-08-31 J. A. Sauls