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 Pis'ma v Zh. Èksper. Teoret. Fiz., 2011, Volume 93, Issue 9, Pages 597–602 (Mi jetpl1898)

CONDENSED MATTER

Critical states of superconductivity and their crossover in multilayer superconductor/ferromagnet structures

V. N. Kushnira, M. Yu. Kupriyanovb

a Belarussian State University of Computer Science and Radioelectronic Engineering
b Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

Abstract: In order to calculate the critical temperature of multilayer S/F structures (where S is a superconductor and F is a ferromagnet), a matrix method for solving linearized Usadel equations has been proposed. The spectrum of critical temperatures $T^{(k)}$ for the F/$N_{bl}$(S/F) structure has been obtained in the single-mode approximation. Eigenfunctions describing the spatial distribution of superconducting correlations in the direction perpendicular to the S-F interfaces have been calculated for each $T^{(k)}$ value. It has been found that dependences of $T^{(k)}$ on the thickness of F layers have a jump near the transition from 0 to $\pi$-state; any of the calculated $T^{(k)}$ values can be implemented in the region of jumps. It has been shown that the crossover of eigenstates is characterized by the suppression of superconductivity in outer S layers and by induced countercurrents in F layers. The possibility of the experimental implementation of a state corresponding to a given value from the spectrum of $T^{(k)}$ has been discussed.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2011, 93:9, 539–544

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Document Type: Article

Citation: V. N. Kushnir, M. Yu. Kupriyanov, “Critical states of superconductivity and their crossover in multilayer superconductor/ferromagnet structures”, Pis'ma v Zh. Èksper. Teoret. Fiz., 93:9 (2011), 597–602; JETP Letters, 93:9 (2011), 539–544

Citation in format AMSBIB
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This publication is cited in the following articles:
1. Mancusi D., Ilyina E.A., Kushnir V.N., Prischepa S.L., Cirillo C., Attanasio C., “Evaluation of the specific boundary resistance of superconducting/weakly ferromagnetic hybrids by critical temperature measurements”, Journal of Applied Physics, 110:11 (2011), 113904
2. Kushnir V.N., Prischepa S.L., Cirillo C., Vecchione A., Attanasio C., Kupriyanov M.Yu., Aarts J., “Multiple order parameter configurations in superconductor/ferromagnet multilayers”, Physical Review B, 84:21 (2011), 214512
3. Prischepa S.L., Kushnir V.N., Cirillo C., Attanasio C., Kupriyanov M.Yu., “Superconducting Critical Temperature and Magnetic Inhomogeneities in Superconductor/Ferromagnet/Superconductor Trilayers”, Magnetism and Magnetic Materials V, Solid State Phenomena, 190, eds. Perov N., Rodionova V., Trans Tech Publications Ltd, 2012, 409–412
4. Kushnir V.N., Prischepa S.L., Mancusi D., Ilyina E.A., Cirillo C., Attanasio C., “Interface Properties of Superconductor-Based Heterostructures From Critical Temperature Measurements”, J. Supercond. Nov. Magn, 26:9 (2013), 2861–2862
5. S. V. Bakurskiy, M. Yu. Kupriyanov, A. A. Baranov, A. A. Golubov, N. V. Klenov, I. I. Soloviev, “Proximity effect in multilayer structures with alternating ferromagnetic and normal layers”, JETP Letters, 102:9 (2015), 586–593
6. Kushnir V.N. Kupriyanov M.Yu., “Parametric spin-valve effect in superconductor/ferromagnet structures”, Low Temp. Phys., 42:10 (2016), 900–904
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