Localized superconductivity and Little-Parks effect in superconductor/ferromagnet hybrids
A. Yu. Aladyshkin, D. A. Ryzhov, A. V. Samokhvalov, D. A. Savinov, A. S. Mel’nikov, V. V. Moshchalkov
DOI 10.1103/PhysRevB.75.184519 · Physical Review B
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Abstract
On the basis of Ginzburg-Landau theory we investigate order-parameter (OP) nucleation in superconducting films of a finite thickness in the presence of inhomogeneous magnetic fields induced by ferromagnetic nanoparticles. In particular, we consider a generic system, consisting of a small perpendicularly magnetized nanoparticle, placed at a height h above the disk center. We study the oscillatory dependence of the critical temperature Tc of the disk on an external magnetic field H, similar to the classical Little-Parks effect [Phys. Rev. Lett. 9, 9 (1962)]. Two OP nucleation regimes have been found: an appearance of superconductivity either near the disk center (under the magnetic particle) or near the disk edge. Switching between these regimes at varying the external field has been shown to result in an abrupt modification of the Tc(H) dependence—both the amplitude and the period of the Little-Parks oscillations become much larger, provided that the OP pattern is localized under the particle and R⪢h, R is the disk radius. The OP nucleation near the magnetic particle is strongly suppressed by increasing the film thickness. Using both analytical and numerical approaches we have found the range of system parameters that are optimal for the experimental observation of the different regimes of localized superconductivity in this hybrid system.
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