Effective penetration depths of a thin type-II superconducting strip

Chen, D. X.; Navau, Carles; Del-Valle, Núria; Sanchez, Alvaro

doi:10.1088/0953-2048/21/10/105010

Cited by 11 publications

(4 citation statements)

References 18 publications

(29 reference statements)

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“…The definitions of the macroscopic magnetic induction B y and the magnetization M y for a hexagonal array are the same as those of a rectangular array, and are given by Eqs. (11) and (19), respectively.…”

Section: Macroscopic Fieldsmentioning

confidence: 99%

“…Numerical calculations with λ > 0 can account for the sheet current density in some thin geometries under perpendicular applied fields. [18][19][20][21][22] The above-mentioned results have been widely used as theoretical frameworks for investigating superconductors, ranging from studies of flux penetration in mesoscopic superconductors to the macroscopic characterization of bulk superconductors. In the present paper, we extend the previous results by considering two-dimensional arrays of superconducting thin strips exposed to perpendicular fields, and we offer a theoretical framework for a new class of superconducting systems, dc magnetic metamaterials.…”

Section: Introductionmentioning

confidence: 99%

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Two-dimensional arrays of superconducting strips as dc magnetic metamaterials

2012

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We theoretically investigate the magnetic response of two-dimensional arrays of superconducting strips, which are regarded as essential structures of dc magnetic metamaterials. We analytically obtain local distributions of the magnetic field for the ideal complete shielding state (i.e., Λ/w → 0, where 2w is the strip width, Λ = λ 2 /d is the Pearl length, λ is the London penetration depth, and d is the strip thickness), and derive effective permeability by averaging the local field distributions. We also perform numerical calculations for a realistic case, taking finite Λ/w > 0 into account. We investigate two types of strip arrays: a rectangular array and a hexagonal array. The resulting effective permeability has large anisotropy that depends on the dimensions and arrangement of the superconducting strips, and the hexagonal array is found to be more advantageous for obtaining large anisotropy than the rectangular array.

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Section: Macroscopic Fieldsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Two-dimensional arrays of superconducting strips as dc magnetic metamaterials

2012

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“…In order to calculate the fields B z produced by the whole sample and by the individual grains solenoids we take their thicknesses as the inter-and intragranular effective penetration depths Λ i (T) and Λ g (T), respectively, as shown in figure A1(b). These are given by [34,66,67]…”

Section: Appendix Calculation Of the Demagnetizing Factors D Ig In A ...mentioning

confidence: 99%

Demagnetization harmonic effects on the magnetization of granular systems on a macroscopic scale: the superconducting case

Mancusi¹,

Galluzzi²,

Pace³

et al. 2017

J. Phys.: Condens. Matter

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A model has been developed to determine the effective ac magnetic response of magnetic systems, taking into account the demagnetization effects arising from the sample geometry which determine the out-of-phase components of the applied fundamental frequency and higher harmonic components. Indeed, demagnetization fields and their intermodulation can significantly affect the ac magnetic response. This approach provides a system of self-consistent linear equations relating the magnetic response to the external magnetic field by means of nonlinear magnetic susceptibility. The model is extended to the magnetic response of granular systems in terms of the contributions of the individual grains and of the whole sample in the presence of demagnetization effects of the whole sample and of the grains on a macroscopic scale. In particular, our model is applied to a granular superconducting system. The comparison between the performed numerical simulations and the experimental data shows that the demagnetization fields of the single grains and of the whole sample, and their intermodulation, are relevant if magnetic measurements are used to extract detailed information about the analyzed material.

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“…Such a border between superconducting (S) and normal (N) media is called the London penetration depth [1]. In thin superconducting films with flowing current this property leads to a concentration of the current at the edges of the film, characterized by a distance called the Pearl length [2,3]. For II-type high temperature superconductors (HTSC), critical magnetic fields H c1 and H c2 exist.…”

Section: Introductionmentioning

confidence: 99%

S-N border instability, magnetic flux trapping and cumulative effect during pulsed S-N switching of high quality YBaCuO thin films

Kiprijanovič¹,

Ardaravičius²,

Gradauskas³

et al. 2020

Supercond. Sci. Technol.

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Unexpected irreversible damage appeared in samples while investigating pulsed S-N switching in YBaCuO thin films. Examination of a scanning electron microscope image of a damaged film containing a defect revealed a step-like motion of the N-zone. Restoration of crack movement dynamics points to the formation of coherent jets. This would mean that cumulative convergence of unknown incompressible media took place. The known model of an edge barrier, when the S-N border, characterized by width λ eff , bounds a semi elliptical N-zone at the film edges, was applied for clarification of the cumulative convergence. In that model, counteracting forces cause a wave-like unstable form of the barrier S-N border, and further current growth increases the amplitude of wave-like distortions of the border. Then, current reconnection separates bulges from the N-zone and induces the appearance of the circular currents with a trapped magnetic flux. Heat release at the places with trapped flux cause an expansion in these locations and coherent jets originate from touch points due to cumulative convergence. We substantiate that specific properties of the S-N border at λ eff , such as high tensile strength, very high flexibility and also incompressibility, are responsible for the appearance of the cumulative effect. Thus, the N-zone propagation into S state begins by motion of the wave-like border. The non-damaging step-like N-zone propagation into the films without defects is clarified. It is concluded that both the critical current and the damage current are determined by the same barrier with the unstable S-N border, and, therefore, the irreversible damage of the films comes quickly after the current reaches the critical value.

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Effective penetration depths of a thin type-II superconducting strip

Cited by 11 publications

References 18 publications

Two-dimensional arrays of superconducting strips as dc magnetic metamaterials

Two-dimensional arrays of superconducting strips as dc magnetic metamaterials

Demagnetization harmonic effects on the magnetization of granular systems on a macroscopic scale: the superconducting case

S-N border instability, magnetic flux trapping and cumulative effect during pulsed S-N switching of high quality YBaCuO thin films

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