Dynamics of the magnetic flux trapped in fractal clusters of normal phase in a superconductor
Yu. I. Kuzmin
DOI 10.1103/PhysRevB.64.094519 · Physical Review B
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Abstract
The influence of geometry and morphology of superconducting structure on critical currents and magnetic flux trapping in percolative type-II superconductors is considered. The superconductor contains clusters of normal phase, which act as pinning centers. It is found that such clusters have significant fractal properties. The main features of these clusters are studied in detail: the cluster statistics is analyzed, the fractal dimension of their boundary is estimated, the distribution of critical currents is obtained, and its peculiarities are explored. It is examined thoroughly how the finite-resolution capacity of the cluster geometrical size measurement affects the estimated value of the fractal dimension. The effect of fractal properties of the normal phase clusters on the electric field arising from magnetic flux motion is investigated in the case of an exponential distribution of cluster areas. The voltage-current characteristics of superconductors in the resistive state for an arbitrary fractal dimension are obtained. It is revealed that the fractality of the boundaries of the normal phase clusters intensifies the magnetic flux trapping and thereby raises the critical current of a superconductor.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| Bi2Sr2Ca2Cu3O10 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
| YBa2Cu3O7-x Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
| Tl2Ba2CuO6-x Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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