Flux penetration into flat superconductors of arbitrary shape: Patterns of magnetic and electric fields and current

Schuster, Thomas; Kühn, H.; Brandt, Ernst Helmut

doi:10.1103/physrevb.54.3514

Cited by 72 publications

(51 citation statements)

References 75 publications

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“…The quantitative agreement is poor, though the shape of profiles (both across the indentation and away from it) is fairly well reproduced, in agreement with Ref. 8. The expected enhancement of E due to indentation is also obvious.…”

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confidence: 83%

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Flux penetration in a superconducting strip with an edge indentation

et al. 2007

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The flux penetration near a semicircular indentation at the edge of a thin superconducting strip placed in a transverse magnetic field is investigated. The flux front distortion due to the indentation is calculated numerically by solving the Maxwell equations with a highly nonlinear E(j) law. We find that the excess penetration, ∆, can be significantly (∼ 50 %) larger than the indentation radius r0, in contrast to a bulk supercondutor in the critical state where ∆ = r0. It is also shown that the flux creep tends to smoothen the flux front, i.e. reduce ∆. The results are in very good agreement with magneto-optical studies of flux penetration into an YBa2Cu3Ox film having an edge defect.

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supporting

confidence: 83%

“…8 The physical mechanism behind this enhancement is however not yet understood. It could be related to the effect of thin-film geometry, to the flux creep or to thermal instabilities nucleated at the indentation.…”

Section: 6mentioning

confidence: 99%

Flux penetration in a superconducting strip with an edge indentation

et al. 2007

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“…This can be understood from the fact that the magnitude of the electrical field is a key parameter deciding the onset of the thermomagnetic instability. 2 Since corners being concave with respect to the current flow pattern are indeed locations of largely enhanced electrical fields, 13 the superior stability of the circular hole is in full accordance with expectations.…”

Section: Applied Physics Letterssupporting

confidence: 71%

Limiting thermomagnetic avalanches in superconducting films by stop-holes

Colauto

Vestgården

Andrade

et al. 2013

Applied Physics Letters

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It is demonstrated that circular holes in superconducting films of Nb can arrest the propagation of thermomagnetic avalanches. The effect was found over a range of temperatures where the material is susceptible to this instability. For other hole shapes, like square and triangular, the sharp corners provoke secondary avalanches, thus extending the breakdown. Making use of circular stop-holes can become a practical way to limit thermomagnetic breakdown in superconducting films.

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“…The maximum electric field is very high, E > 50, compared to a plain strip where E < 1 at the edge, and it is also higher than for small indentations at a film edge. 38,39 The high E value reflects that all magnetic flux in the diamond-shaped region has passed through channels of width comparable to the antidot diameter. Numerically, the values E ≈ 50 and J ≈ 1.1 are consistent, since from Eq.…”

Section: Simulation Resultsmentioning

confidence: 99%

Mechanism for flux guidance by micrometric antidot arrays in superconducting films

et al. 2012

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Abstract"A study of magnetic flux penetration in a superconducting film patterned with arrays of micron-sized antidots (microholes) is reported. Magneto-optical imaging (MOI) of a YBa(2)Cu(3)O(x) film shaped as a long strip with perpendicular antidot arrays revealed both strong guidance of flux and, at the same time, large perturbations of the overall flux penetration and flow of current. These results are compared with a numerical flux creep simulation of a thin superconductor with the same antidot pattern. To perform calculations on such a complex geometry, an efficient numerical scheme for handling the boundary conditions of the antidots and the nonlocal electrodynamics was developed. The simulations reproduce essentially all features of the MOI results. In addition, the numerical results give insight into all other key quantities (e. g., the electrical field), which become extremely large in the narrow channels connecting the antidots." A study of magnetic flux penetration in a superconducting film patterned with arrays of micron-sized antidots (microholes) is reported. Magneto-optical imaging (MOI) of a YBa 2 Cu 3 O x film shaped as a long strip with perpendicular antidot arrays revealed both strong guidance of flux and, at the same time, large perturbations of the overall flux penetration and flow of current. These results are compared with a numerical flux creep simulation of a thin superconductor with the same antidot pattern. To perform calculations on such a complex geometry, an efficient numerical scheme for handling the boundary conditions of the antidots and the nonlocal electrodynamics was developed. The simulations reproduce essentially all features of the MOI results. In addition, the numerical results give insight into all other key quantities (e.g., the electrical field), which become extremely large in the narrow channels connecting the antidots.

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Flux penetration into flat superconductors of arbitrary shape: Patterns of magnetic and electric fields and current

Cited by 72 publications

References 75 publications

Flux penetration in a superconducting strip with an edge indentation

Flux penetration in a superconducting strip with an edge indentation

Limiting thermomagnetic avalanches in superconducting films by stop-holes

Mechanism for flux guidance by micrometric antidot arrays in superconducting films

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