具有时间反转对称破缺的幺正超导体的自发磁化
Spontaneous magnetization in unitary superconductors with time reversal symmetry breaking
摘要：
我们报告了自发磁化的研究（即，自旋极化）的时间反演对称性（TRS）打破超导体与酉配对的潜力，在没有外部磁场或塞曼场。自旋单重态（$Δ_s$）和自旋三重态（$Δ_t$）配对可以共存于晶体结构缺乏反转对称性的超导体中。一旦$\pmπ/2$的相对相位发展，TRS可以自发地断裂，形成TRS断裂的幺正配对态（$Δ_s\pm iΔ_t$）。我们证明了这种幺正配对可以在自旋轨道耦合的帮助下产生自发的自旋极化。我们的结果提供了一个替代的解释TRS打破，超越了目前的理解，在非中心对称超导体中的这种现象。本文还从理论上讨论了Zr $_3$、Ir和CaPtAs的实验结果。
英文摘要：
We report the study of spontaneous magnetization (i.e., spin-polarization) for time-reversal symmetry (TRS)-breaking superconductors with unitary pairing potentials, in the absence of external magnetic fields or Zeeman fields. Spin-singlet ($Δ_s$) and spin-triplet ($Δ_t$) pairings can coexist in superconductors whose crystal structure lacks inversion symmetry. The TRS can be spontaneously broken once a relative phase of $\pmπ/2$ is developed, forming a TRS-breaking unitary pairing state ($Δ_s\pm iΔ_t$). We demonstrate that such unitary pairing could give rise to spontaneous spin-polarization with the help of spin-orbit coupling. Our result provides an alternative explanation to the TRS breaking, beyond the current understanding of such phenomena in the noncentrosymmetric superconductors. The experimental results of Zr$_3$Ir and CaPtAs are also discussed in the view of our theory.
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