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arXiv 2201.08918cond-mat.supr-concond-mat.mtrl-scicond-mat.str-elquant-ph
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自旋-轨道耦合关联多轨道体系的超导性:偶奇频配对共存和钌酸锶的情况

Superconductivity in Correlated Multi-Orbital Systems with Spin-Orbit Coupling: Coexistence of Even- and Odd-Frequency Pairing and the Case of Strontium Ruthenate

Olivier Gingras, Nikita Allaglo, Reza Nourafkan, Michel Côté, André-Marie S. Tremblay

摘要:

锶的超导序参量是一个持久的难题的中心,需要理论研究,包括很少考虑的自旋-轨道耦合的影响和频率依赖的序参量。在这里,我们推广的频率依赖理论的超导介导的自旋和电荷的波动,包括自旋-轨道耦合在多轨道系统,我们使用自旋-宇称-轨道-时间$SPOT$量子数,群论,和相位分布在复平面上的超导态的特征。我们推导出一个赝自旋公式,该公式将正常状态Eliashberg方程的赝自旋间扇区映射到赝自旋对角扇区。从一个实际的密度泛函理论正常态出发,得到了铼酸锶可能的超导序参量。我们发现,自旋轨道耦合导致无处不在的自旋和轨道的量子数纠缠,以及显着的混合之间的偶数和奇数频率的相关性。我们提出了一个相图,从温度依赖性的领先和subleading对称性的赝自旋轨道基础。在铼酸锶中,B $_{1g}^+$和A $_{2g}^-$的主要赝自旋间对称性之间的偶然简并可以解决明显的实验矛盾。

英文摘要:

The superconducting order parameter of strontium ruthenate is the center of a lasting puzzle calling for theoretical studies that include the seldom-considered effects of spin-orbit coupling and the frequency-dependence of the order parameters. Here we generalize the frequency-dependent theory of superconductivity mediated by spin and charge fluctuations to include spin-orbit coupling in multi-orbital systems and we characterize the superconducting states using the spin-parity-orbital-time $SPOT$ quantum numbers, group theory, and phase distributions in the complex plane. We derive a pseudospin formulation that maps the inter-pseudospin sector of the normal state Eliashberg equation to a pseudospin-diagonal one. Possible superconducting order parameters for strontium ruthenate are obtained starting from a realistic density-functional-theory normal state. We find that spin-orbit coupling leads to ubiquitous entanglement of spin and orbital quantum numbers, along with notable mixing between even- and odd-frequency correlations. We propose a phase diagram obtained from the temperature dependence of the leading and subleading symmetries in the pseudospin-orbital basis. An accidental degeneracy between leading inter-pseudospin symmetries in strontium ruthenate, B$_{1g}^+$ and A$_{2g}^-$, could resolve apparent experimental contradictions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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