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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

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

Magnetic susceptibility of non-ellipsoidal samples is a long-standing problem in experimental studies of magnetism and superconductivity. Here the quantitative description of the Meissner-London response (no Abrikosov vortices) of right…

Superconductivity · Physics 2022-01-10 Ruslan Prozorov

Previous continuum theory of type-II superconductors of various shapes with and without vortex pinning in an applied magnetic field and with transport current, is generalized to account for a finite London penetration depth lambda. This…

Superconductivity · Physics 2009-11-07 Ernst Helmut Brandt

We propose a dynamical explanation of the Meissner effect in superconductors and predict the existence of a spin Meissner effect: that a macroscopic spin current flows within a London penetration depth $\lambda_L$ of the surface of…

Superconductivity · Physics 2008-03-02 J. E. Hirsch

A simple procedure to extract anisotropic London penetration depth components from the magnetic susceptibility measurements in realistic samples of cuboidal shape is described.

Superconductivity · Physics 2024-11-28 Ruslan Prozorov

Using a known distribution of the Meissner currents over the surface of an infinitely long superconducting slab with a rectangular cross section, we find an applied magnetic field at which vortices begin to penetrate into the…

Superconductivity · Physics 2024-09-10 G. P. Mikitik , Yu. V. Sharlai

Applying the London theory we study curved vortices produced by an external current near and parallel to the surface of a type II superconductor. By minimizing the energy functional we find the contour describing the hard core of the flux…

Superconductivity · Physics 2015-05-13 Eran Sela , Ian Affleck

The structure of the Meissner effect in a current-carrying cylindrical wire with arbitrary disorder is studied using a numerical procedure that is exact within the semiclassical approximation. A distribution of currents is found that is…

Superconductivity · Physics 2009-10-31 J. Sánchez-Cañizares , J. Ferrer , F. Sols

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

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

Using a distribution of the Meissner currents over the surface of an infinitely long superconducting slab with a rectangular cross section, the magnetic moment of the slab is calculated, taking into account corrections associated with a…

Superconductivity · Physics 2025-03-11 G. P. Mikitik

We consider the nonlinear transverse magnetic moment that arises in the Meissner state of superconductors with strongly anisotropic order parameter. We compute this magnetic moment as a function of applied field and geometry, assuming…

Condensed Matter · Physics 2009-10-28 Igor Zutic , Oriol T. Valls

The London moment is the magnetic moment acquired by a rotating superconductor. We propose that the London moment reveals the following fundamental properties of the superconducting state: (i) superconductors (unlike normal metals) know the…

Superconductivity · Physics 2013-12-31 J. E. Hirsch

Using the non-linear Ginzburg-Landau (GL) eqs. type I superconducting disks of finite radius ($R$) and thickness ($d$) are studied in a perpendicular magnetic field. Depending on $R$ and $d$, first or second order phase transitions are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. Singha Deo , F. M. Peeters , V. A. Schweigert

It is generally accepted that the most fundamental property of a superconductor is that it exhibits the Meissner effect. Of similar importance is the Becker-London effect, i.e. generation of magnetic field inside a rotating superconductor.…

Superconductivity · Physics 2025-11-20 Peter Markoš , Richard Hlubina

We investigate the magnetic field distribution near the surface of a magnetic superconductor when a magnetic source is placed close to the superconductor. The magnetic field distribution can be measured by magnetic force microscopy and…

Superconductivity · Physics 2012-07-24 Shi-Zeng Lin , Lev N. Bulaevskii

The breakdown magnetic field is the key parameter which determines the performance of superconducting radio-frequency cavities. This is the maximum field up to which the Meissner state remains stable and in uniform material, it is…

Superconductivity · Physics 2019-01-18 A. E. Koshelev

Superconductors are materials with zero electrical resistivity and the ability to expel magnetic fields known as the Meissner effect. Their dissipationless diamagnetic response is central to magnetic levitation and circuits such as quantum…

Mesoscale and Nanoscale Physics · Physics 2023-10-30 M. Borst , P. H. Vree , A. Lowther , A. Teepe , S. Kurdi , I. Bertelli , B. G. Simon , Y. M. Blanter , T. van der Sar

Kinetic inductances of superconducting nanostrips with a meander pattern are theoretically investigated based on the London model, and the effect of the current crowding at the turns of the nanostrips is considered. The complex current…

Superconductivity · Physics 2023-05-15 Yasunori Mawatari
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