The Nambu spinor Green's function approach is applied to calculating the density of states (DOS) and superconducting order parameter in normal-metal/insulator/ferromagnet/superconductor (NM/I/FM/SC) junctions. It is found that the s -wave superconductivity and ferromagnetism can coexist near the FM/SC interface, which is induced by proximity effect. On the SC side, the spin-dependent DOS appears both within and without the energy gap. On the FM side, the superconducting order parameter displays a damped oscillation and the DOS exhibits some superconducting behavior. The calculated result for the DOS in FM for “0 state” and “π state” can reproduce recent tunneling spectra in Al/Al₂O₃/PdNi/Nb tunnel junctions.

中文翻译：

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铁磁体/超导体邻近结构中超导性与铁磁性的共存

Nambu spinor Green的函数方法用于计算法向金属/绝缘体/铁磁体/超导体（NM / I / FM / SC）结中的态密度（DOS）和超导阶参数。发现 s 波超导性和铁磁性可以在FM / SC界面附近共存，这是由邻近效应引起的。在SC端，自旋相关的DOS出现在能隙之内和没有能隙时。在FM端，超导阶跃参数显示阻尼振荡，而DOS则表现出一些超导行为。FM中DOS的“ 0状态”和“π状态”的计算结果可以重现Al / Al ₂ O ₃ / PdNi / Nb隧道结中的最新隧道光谱。