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The problem of the giant vortex state around a magnetic dot which is embedded in a superconducting film is investigated. The full non-linear, self-consistent Ginzburg-Landau equations are solved numerically in order to calculate the free…

Condensed Matter · Physics 2009-10-28 I. K. Marmorkos , A. Matulis , F. M. Peeters

We explore the relationship between two reference functions arising in the analysis of the Ginzburg-Landau functional. The first function describes the distribution of superconductivity in a type II superconductor subjected to a constant…

Analysis of PDEs · Mathematics 2015-03-31 Bernard Helffer , Ayman Kachmar

The distribution of magnetic induction in Meissner state with finite London penetration depth is analyzed for platelet samples of rectangular cross-section in a perpendicular magnetic field. The exact 2D numerical solution of the London…

Superconductivity · Physics 2009-10-31 R. Prozorov , R. W. Giannetta , A. Carrington , F. M. Araujo-Moreira

Multiterminal transport measurements on YBCO crystals in the vortex liquid regime have shown nonlocal conductivity on length scales up to 50 microns. Motivated by these results we explore the wavevector ({\bf k}) dependence of the dc…

Condensed Matter · Physics 2012-08-17 Chung-Yu Mou , Rachel Wortis , Alan T. Dorsey , David A. Huse

We develop a quasi-classical theory for the superconducting proximity effect in a ballistic ferromagnetic layer in contact with a d-wave superconductor. In agreement with recent experiments we find that the density of states oscillate…

Superconductivity · Physics 2009-11-10 Zahra Faraii , Malek Zareyan

The interplay between magnetic and superconducting states on a square lattice is studied using the extended Hubbard model, which takes into account the attraction of electrons located at nearest neighbor sites. Ferro-, antiferro-, and…

Strongly Correlated Electrons · Physics 2022-07-20 V. F. Gilmutdinov , M. A. Timirgazin , A. K. Arzhnikov

We solve the Ginzburg-Landau equation (GLE) for the mesoscopic superconducting thin film of the square shape in the magnetic field for the wide range of the Ginzburg-Landau parameter 0.05< kappa. We focus on the region of the field where…

Superconductivity · Physics 2008-11-19 T. Mertelj , V. V. Kabanov

The mixed phase of extremely type-II layered superconductors in perpendicular magnetic field is studied theoretically via the layered XY model with uniform frustration. A partial duality analysis is carried out in the weak-coupling limit.…

Superconductivity · Physics 2008-12-18 J. P. Rodriguez

The superconductor-insulator transition in ultrathin films of amorphous Bi was tuned by changing the film thickness, with and without an applied magnetic field. The first experimentally obtained phase diagram is mapped as a function of…

Disordered Systems and Neural Networks · Physics 2009-10-31 N. Markovic , C. Christiansen , A. M. Goldman

The magnetic response of irreversible type-II superconductor slabs subjected to in-plane rotating magnetic field is investigated by applying the circular, elliptic, extended-elliptic, and rectangular flux-line-cutting critical-state models.…

Ginzburg-Landau (GL) equations and GL free energy for flux phase and superconductivity are derived microscopically from the $t-J$ model on a square lattice. Order parameter (OP) for the flux phase has direct coupling to a magnetic field, in…

Superconductivity · Physics 2017-12-29 Kazuhiro Kuboki

A model of superconductivity is proposed taking into account repulsive particle interaction, mesoscopic phase separation and softening of crystalline lattice. These features are typical of many high-temperature superconductors. The main…

Superconductivity · Physics 2007-05-23 A. J. Coleman , E. P. Yukalova , V. I. Yukalov

We investigate, within 2D Ginzburg-Landau theory, the ground state of a type-II superconducting cylinder in a parallel magnetic field varying between the second and third critical values. In this regime, superconductivity is restricted to a…

Mathematical Physics · Physics 2019-10-01 Michele Correggi , Nicolas Rougerie

We present new estimates on the two-dimensional Ginzburg-Landau energy of a type-II superconductor in an applied magnetic field varying between the second and third critical fields. In this regime, superconductivity is restricted to a thin…

Mathematical Physics · Physics 2019-10-01 M. Correggi , N. Rougerie

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

When a magnetic field is applied, the mixed state of a conventional Type II superconductor gets destroyed at the upper critical field Hc2, where the normal vortex cores overlap with each other. Here, we show that in the presence weak and…

Superconductivity · Physics 2017-08-16 Rini Ganguly , Indranil Roy , Anurag Banerjee , Harkirat Singh , Amit Ghosal , Pratap Raychaudhuri

A superconducting (SC) mixed state occurs in type-II superconductors where the upper critical field Hc2 is higher than the thermodynamic critical field Hc. When an applied field is in between these fields, the free energy depends weakly on…

Superconductivity · Physics 2022-10-28 Alex Khanukov , Itay Mangel , Shai Wissberg , Amit Keren , Beena Kalisky

The standard interpretation of the phase diagram of type-II superconductors was developed in 1960s and has since been considered a well-established part of classical superconductivity. However, upon closer examination a number of…

Within the phenomenological Ginzburg-Landau theory, we demonstrate the enhancement of superconductivity in a superconducting film, when nanostructured by a lattice of magnetic particles. Arrays of out-of-plane magnetized dots (MDs) extend…

Superconductivity · Physics 2009-11-11 M. V. Milosevic , F. M. Peeters

We present an improved analysis of the phase transitions in rare earth superconductor using Ginzburg-Landau theory. Our work is based on the systematic study of critical field and superconducting order parameter in the presence of localized…

Materials Science · Physics 2021-01-19 Preeti Suman Dash , Salila Das , Prabir K. Mukherjee