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A density-functional approach is used to calculate the inhomogeneous vortex density distribution in the flux liquid phase at the planar surface of a layered superconductor, where the external magnetic field is perpendicular to the…

Superconductivity · Physics 2009-10-30 A. Kraemer , E. Diaz-Herrera

Here we report a study of vortex states in a thin superconducting film with a magnetic dot grown upon it by means of a method based on London-Maxwell equations. Vortices with single quantum flux ($\Phi_0 = h c / 2 e$), giant vortices…

Superconductivity · Physics 2009-11-11 Serkan Erdin

The new type of solutions of the London equation for type-II superconductors is obtained to describe the ring-shaped (toroidal) Abrikosov vortices. The specific feature of these solutions is the self-consistent localization of both the…

Condensed Matter · Physics 2009-11-29 V. A. Kozlov , A. V. Samokhvalov

We present a geometry-based discussion of possible vortex configurations in the mixed state of anisotropic type-II superconductors. It is shown that, if energy considerations assign six nearest neighbors to each vortex, two distinct…

Superconductivity · Physics 2009-11-10 I. L. Landau , A. V. Sologubenko , H. R. Ott

Magnetic flux can penetrate a type-II superconductor in form of Abrikosov vortices. These tend to arrange in a triangular flux-line lattice (FLL) which is more or less perturbed by material inhomogeneities that pin the flux lines, and in…

supr-con · Physics 2009-10-28 Ernst Helmut Brandt

For multi-component superconductors, it is known that the presence of symmetry breaking fields can lead to multiple superconducting phase transitions. This phenomenon is best illustrated in UPt$_3$. Motivated by recent small angle neutron…

Strongly Correlated Electrons · Physics 2007-05-23 D. F. Agterberg , Matthew J. W. Dodgson

The observation of vortices in superconductors was a major breakthrough in developing the conceptual background for superconducting applications. Each vortex carries a flux quantum, and the magnetic field radially decreases from the center.…

Superconductivity · Physics 2016-06-22 H. Suderow , I. Guillamon , J. G. Rodrigo , S. Vieira

In the present work we study an anisotropic layered superconducting film of finite thickness. The film surfaces are considered parallel to the $bc$ face of the crystal. The vortex lines are oriented perpendicular to the film surfaces and…

Superconductivity · Physics 2009-10-31 Edson Sardella

The magnetic response of type-II superconductors can be irreversible due to two different reasons: vortex pinning and barriers for flux penetration. Even without bulk pinning and in absence of a microscopic Bean-Lingston surface barrier for…

Superconductivity · Physics 2009-10-31 Ernst Helmut Brandt

Numerical calculations on a mesoscopic ring of a type II superconductor in the London limit suggest that an Abrikosov vortex can be trapped in such a structure above a critical magnetic field and generate a phase shift in the…

Superconductivity · Physics 2015-10-07 Shaun A. Mills , Chenyi Shen , Zhuan Xu , Ying Liu

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

This paper provides an explicit formula for the approximate solution of the static London equations. These equations describe the currents and magnetic fields in a Type-I superconductor. We represent the magnetic field as a 2-form and the…

Analysis of PDEs · Mathematics 2025-03-12 Charles L. Epstein , Manas Rachh , Yuguan Wang

We analyze the origin of the parabolic background of magnetoresistance oscillations measured in finite-width superconducting mesoscopic rings with input and output stubs and in patterned films. The transmission model explaining the…

Superconductivity · Physics 2023-05-24 G. P. Papari , V. M. Fomin

In type-II superconductors, magnetic flux penetrates in the form of quantized vortices whose dissipative motion, driven by the Lorentz force, can degrade superconductivity. Understanding vortex dynamics in both homogeneous regions and near…

Superconductivity · Physics 2025-05-21 Ruby A. Shi

We carry out a systematic analytic investigation of stationary and cylindrically symmetric vortex configurations for simple models representing an incompressible non-relativistic superconductor in a rigidly rotating background. It is shown…

Superconductivity · Physics 2009-10-31 Brandon Carter , Reinhard Prix , David Langlois

In a type II superconductor in a moderate magnetic field, the superconductor to normal state transition may be described as a phase transition in which the vortex lattice melts into a liquid. In a biaxial superconductor, or even a uniaxial…

Superconductivity · Physics 2009-11-07 E. W. Carlson , A. H. Castro Neto , D. K. Campbell

A simplified model of anisotropic magnetic susceptibility in the Meissner-London vortex-free state of cuboidal superconducting samples is presented. Using this model, precision measurements of the magnetic response in three perpendicular…

Superconductivity · Physics 2024-11-28 Ruslan Prozorov

Vortex entry into (110) oriented YBa$_2$Cu$_3$O$_{7-x}$ films has been studied by tunneling into Andreev - Saint-James bound states, whose energy is shifted by surface currents. At low temperatures, the characteristic field for vortex entry…

Superconductivity · Physics 2009-01-14 G. Leibovitch , R. Beck , A. Kohen , G. Deutscher

The magnetic field of moving vortices in anisotropic superconductors is considered in the framework of time-dependent London approach. It is found that at distances large relative to the core size, the field may change sign that alludes to…

Superconductivity · Physics 2021-10-04 V. G. Kogan , N. Nakagawa

Based on the recent developed real-space theory of superconductivity (arXiv:0910.5511 and arXiv:1001.5067), we study the physical nature of the Meissner effect and London penetration depth in conventional and non-conventional…

Superconductivity · Physics 2010-08-27 X. Q. Huang