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arXiv 1503.07530cond-mat.mes-hallcond-mat.str-elcond-mat.supr-con
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铁磁约瑟夫森结和自旋阀中的邻近感生涡旋和长程三线态超电流

Proximity Induced Vortices and Long-Range Triplet Supercurrents in Ferromagnetic Josephson Junctions and Spin Valves

Mohammad Alidoust, Klaus Halterman

摘要:

利用Keldysh方法研究了几种扩散铁磁体/超导体结构中的超电流输运。我们分离出偶数和奇数频率分量,并确定相对贡献的单重态和三重态通道。我们首先考虑由均匀SFFS结构和三层SFFFS结构组成的一维约瑟夫森结构。我们的研究结果表明,SC垂直于FF界面流动,将锥形纹理产生的最有效的方式来观察的签名的远程SC。我们还考虑了三种不同类型的有限大小的二维结构进行施加磁场:一个统一的SFS结,和两个SFFS配置与不同的FF双层安排。在一种情况下,FF界面与SF界面平行,而在另一种情况下,FF结垂直于SF界面取向。对于均匀的SFS结,我们解析推导出的磁场感应SC和对电位,提供洞察的临界SC和邻近涡的变化。我们广泛的计算表明,诱导的长程SC可以深入渗透到均匀的FF双层时,单线态SC平行于FF界面流动,这是在形成鲜明对比的配置,SC垂直于FF界面流动。我们查明的起源诱导的三重态和单重态的相关性,通过分解的总SC的空间配置文件。我们发现,当F带的厚度不相等时,与平行于FF界面流动的SC相关联的长程SC的穿透更加明显。最后,我们表明,相应的实验可访问SFFN自旋阀提供了一个有效的平台,预测的长程效应可以有效地产生和探测。

英文摘要:

Using a Keldysh formalism, we study supercurrent (SC) transport in several types of diffusive ferromagnet(F)/superconductor(S) configurations. We separate out the even- and odd-frequency components and identify the relative contributions from the singlet and triplet channels. We first consider 1D Josephson structures consisting of a uniform SFFS structure and a trilayer SFFFS configuration. Our results demonstrate that for SCs flowing perpendicular to the FF interfaces, incorporating a conical texture yields the most effective way to observe the signatures of the long-ranged SC. We also consider three different types of finite-sized 2D structures subjected to an applied magnetic field: a uniform SFS junction, and two SFFS configurations with differing FF bilayer arrangements. In one case, the FF interface is parallel with the SF interfaces while in the other case, the FF junction is oriented perpendicular to the SF interfaces. For the uniform SFS junction, we analytically derive the magnetic field induced SC and pair potential, providing insight into the variations of the critical SCs and proximity vortices. Our extensive computations demonstrate that the induced long-range SCs can penetrate deeply into uniform FF bilayers when singlet SCs flow parallel to the FF interfaces which is in stark contrast to configurations where SC flows perpendicular to the FF interfaces. We pinpoint the origin of the induced triplet and singlet correlations through spatial profiles of the decomposed total SCs. We find that the penetration of the long-range SCs associated with SCs flowing parallel to the FF interfaces, are more pronounced when the thickness of the F strips are unequal. Lastly, we show that the corresponding experimentally accessible SFFN spin valve presents an effective platform in which the predicted long-range effects can be effectively generated and probed.

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