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Exact analytic solutions are presented for the magnetic moment and screening currents in the Meissner state of superconductor strips with rectangular cross section in a perpendicular magnetic field and/or with transport current. The…

Superconductivity · Physics 2009-10-31 Ernst Helmut Brandt , Grigorii P. Mikitik

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

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

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

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

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

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

Implanting fully polarized low energy muons on the nanometer scale beneath the surface of a superconductor in the Meissner state enabled us to probe the evanescent magnetic field profile B(z)(0<z<=200nm measured from the surface). All the…

Superconductivity · Physics 2009-11-11 A. Suter , E. Morenzoni , N. Garifianov , R. Khasanov , E. Kirk , H. Luetkens , T. Prokscha , M. Horisberger

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

Recently Babaei Brojeny and Clem [Phys. Rev. B 68, 174514 (2003)] considered superconducting thin-film rings in perpendicular magnetic fields in the ideal Meissner state with negligibly small magnetic penetration depth and presented useful…

Superconductivity · Physics 2009-11-10 Ernst Helmut Brandt , John R. Clem

We report a method to locally measure the penetration depth $\lambda$ in a superconductor by detecting the diamagnetic response using magnetic force microscopy (MFM). We extract $\lambda$ by fitting the height dependence of the levitation…

We carry out Monte Carlo simulations of the three dimensional (3D) lattice London superconductor in zero applied magnetic field, making a detailed finite size scaling analysis of the Meissner transition. We find that the magnetic…

Superconductivity · Physics 2009-10-30 Peter Olsson , S. Teitel

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

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 report on a microscopic calculation of the current and magnetic field distribution in the mixed state of model s-wave and d-wave superconductors. For the d-wave case, we find that corrections to London theory are important at fields…

Condensed Matter · Physics 2007-05-23 Yong Wang , A. H. MacDonald

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

A method is presented to measure the absolute value of the London penetration depth, $\lambda$, from the frequency shift of a resonator. The technique involves coating a high-$T_c$ superconductor (HTSC) with film of low - Tc material of…

Superconductivity · Physics 2009-10-31 R. Prozorov , R. W. Giannetta , A. Carrington , P. Fournier , R. L. Greene , D. G. Hinks , A. R. Banks

Microscopic variations in composition or structure can lead to nanoscale inhomogeneity in superconducting properties such as the magnetic penetration depth, but measurements of these properties are usually made on longer length scales. We…

Superconductivity · Physics 2012-04-17 Thomas M. Lippman , Kathryn A. Moler

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

We propose a comprehensive theoretical formulation of magnetic penetration depth, $\lambda(T)$, based on the microscopic calculations for a general superconducting gap symmetry. Our findings admit the significant role of band structure and…

Superconductivity · Physics 2024-01-24 Mehdi Biderang , Jeehoon Kim , Reza Molavi , Alireza Akbari
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