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Hybridization and interference effects for localized superconducting states in strong magnetic field

A. Yu. Aladyshkin, A. S. Mel'nikov, I. M. Nefedov, D. A. Savinov, M. A. Silaev, I. A. Shereshevskii

DOI 10.1103/PhysRevB.85.184528 · Physical Review B

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Abstract

Within the Ginzburg-Landau model, we study the critical field and critical temperature enhancement for crossing superconducting channels formed either along the sample edges or domain walls in thin-film magnetically coupled ferromagnet-superconductor bilayers. The corresponding Cooper-pair wave function can be viewed as a hybridization of two order-parameter (OP) modes propagating along the boundaries and/or domain walls. Different momenta of hybridized OP modes result in the formation of vortex chains outgoing from the crossing point of these channels. Near this crossing point, the wave functions of the modes merge, giving rise to the increase in the critical temperature for a localized superconducting state. The origin of this critical temperature enhancement caused by the wave-function squeezing is illustrated for a limiting case of approaching parallel boundaries and/or domain walls. Using both the variational method and numerical simulations, we have studied the critical temperature dependence and OP structure versus the applied magnetic field and the angle between the crossing channels.

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