Theoretical study of magnetism induced by proximity effect in a ferromagnetic Josephson junction with a normal metal

Shin-ichi Hikino

doi:10.7566/JPSJ.86.094702

paper

Theoretical study of magnetism induced by proximity effect in a ferromagnetic Josephson junction with a normal metal

arXiv:1708.00782 · doi:10.7566/JPSJ.86.094702

Abstract

We theoretically study the magnetism induced by the proximity effect in the normal metal of ferromagnetic Josephson junction composed of two $s$ -wave superconductors separated by ferromagnetic metal/normal metal/ferromagnetic metal junction ( $S / F / N / F / S$ junction). We calculate the magnetization in the $N$ by solving the Eilenberger equation. We show that the magnetization arises in the $N$ when the product of anomalous Green's functions of the spin-triplet even-frequency odd-parity Cooper pair and spin-singlet odd-frequency odd-parity Cooper pair in the $N$ has a finite value. The induced magnetization $M (d, θ)$ can be decomposed into two parts, $M (d, θ) = M^{I} (d) + M^{II} (d, θ)$ , where $d$ is the thickness of $N$ and $θ$ is superconducting phase difference between two $S$ s. Therefore, $θ$ dependence of $M (d, θ)$ allows us to control the amplitude of magnetization by changing $θ$ . The variation of $M (d, θ)$ with $θ$ is indeed the good evidence of the magnetization induced by the proximity effect, since some methods of magnetization measurement pick up total magnetization in the $S / F / N / F / S$ junction.

arXiv comment18 pages, 5 figures. arXiv admin note: text overlap with arXiv:1507.03763

Theoretical study of magnetism induced by proximity effect in a ferromagnetic Josephson junction with a normal metal

Abstract

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