The direct observation of individual flux lines in type II superconductors

Eßmann, U.; Träuble, H.

doi:10.1016/0375-9601(67)90819-5

Cited by 415 publications

(209 citation statements)

References 8 publications

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“…Another consequence of a rectangular cross section is the occurrence of a "geometrical barrier" against flux penetration, as was shown by Indenbom et al [5] and by Zeldov et al [4]. The [6,7]. This makes it possible to obtain more detailed information than with other methods, such as magneto-optics [5,8] Fig.…”

mentioning

confidence: 99%

Flux Droplet Formation in NbSe2Single Crystals Observed by Decoration

et al. 1995

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confidence: 99%

Flux Droplet Formation in NbSe2Single Crystals Observed by Decoration

et al. 1995

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“…Chapman [3] studied the linear bifurcation of several other periodic structures together with the linear stability of Abrikosov's [1] solution, which was found unstable, and of the solution in Kleiner et al [2], which was found stable to several different modes of perturbations. The periodic structure in [2] has also been observed experimentally [4].…”

Section: Introductionmentioning

confidence: 60%

Periodic solutions to the self-dual Ginzburg–Landau equations

Almog

1999

Eur. J. Appl. Math

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The structure of periodic solutions to the Ginzburg-Landau equations in R 2 is studied in the critical case, when the equations may be reduced to the first-order Bogomolnyi equations. We prove the existence of periodic solutions when the area of the fundamental cell is greater than 4πM, M being the overall order of the vortices within the fundamental cell (the topological invariant). For smaller fundamental cell areas, it is shown that no periodic solution exists. It is then proved that as the boundaries of the fundamental cell go to infinity, the periodic solutions tend to Taubes' arbitrary N-vortex solution.

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“…A singular drift term in Eqs. (8) or (9), which leads to the failure of the complex Langevin simulation, does not appear in our model [25].…”

Section: Numerical Simulationmentioning

confidence: 74%