发表机构
University of Jyväskylä; Nagoya University; Centro de Física de Materiales (CFM-MPC) Centro Mixto CSIC-UPV/EHU; Donostia International Physics Center (DIPC)（于韦斯屈莱大学; 名古屋大学; 材料物理中心（CFM-MPC）CSIC-巴斯克国立理工大学联合中心; 圣塞巴斯蒂安国际物理中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出磁性及非常规超导系统中准经典动力学方程的一般边界条件，推导输运及全计数统计，并揭示反常邻近效应与约瑟夫森耦合中的自旋取向及二极管效应条件。
AI 中文摘要
我们提出了描述两种材料之间自旋活性界面的准经典格林函数的边界条件，其中至少一种材料处于扩散区。这些边界条件借助作用量形式推导，提供了简洁且易于处理的表达式。我们将我们的表达式与极限情况下的先前文献联系起来，并描述了通过界面的正常输运、磁电阻输运和自旋进动。通过使用Keldysh-Nambu-自旋形式，我们的方程在正常态和超导态均有效。通过作用量形式的构造，我们还能够推导出电荷电流、热电流和自旋电流的相应全计数统计。我们使用该边界条件来考虑反常邻近效应，并研究通过磁性界面的三重态和自旋分裂超导体之间的约瑟夫森耦合。我们找到了具有p波超导体和自旋过滤器的结中零偏压电导的解析表达式，并展示了它如何依赖于交换场和d矢量的相对取向。对于约瑟夫森结，我们表明，与时间反演对称性一致，出现反常约瑟夫森电流的材料中自旋相对取向的条件，对于两个自旋分裂超导体以及一个自旋分裂超导体与一个三重态超导体是明显不同的。此外，我们表明，只有当自旋向上和自旋向下的透明度均非零且不同时，反常约瑟夫森电流才伴随二极管效应。
英文摘要
We present boundary conditions for the quasiclassical Green's functions describing spin active interfaces between two materials, at least one of which is in the diffusive regime. These boundary conditions are developed with the help of the action formalism, and provide clean and easily tractable expressions. We connect our expressions to previous literature in limiting cases and describe normal transport, magneto-resistance transport and spin-precession through the bound ary. By using the Keldysh-Nambu-spin formalism, our equations are valid both in the normal and superconducting state. The construction through the action formalism also allows us to derive the corresponding full counting statistics for charge currents, thermal currents and spin currents. We use this boundary condition to consider the anomalous proximity effect, and to study the Josephson coupling between triplet and spin-split superconductors through a magnetic interface. We find an analytic expression for the zero bias conductance in junctions with a p-wave superconductor and a spin-filter, and show how it depends on the relative orientation of the exchange field and d-vector. For Josephson junctions, we show that, in agreement with time-reversal symmetry, the conditions on the relative orientations of the spins in the materials for the appearance of anomalous Josephson currents, are distinctly different for two spin-split superconductors and a spin-split superconductor with a triplet superconductor. Moreover, we show that the anomalous Josephson currents are only accompanied by a diode effect if both transparencies for spin up and down are nonzero and distinct.
Comments13 pages, 7 figures
