We investigate the interplay of spin-orbit coupling (SOC) and electronic correlations in ${\mathrm{Sr}}_2{\mathrm{RuO}}_4$ using dynamical mean-field theory. We find that SOC does not affect the correlation-induced renormalizations, which validates Hund’s metal picture of ruthenates even in the presence of the sizable SOC relevant to these materials. Nonetheless, SOC is found to change significantly the electronic structure at $k$ points where a degeneracy applies in its absence. We explain why these two observations are consistent with one another and calculate the effects of SOC on the correlated electronic structure. The magnitude of these effects is found to depend on the energy of the quasiparticle state under consideration, leading us to introduce the notion of an energy-dependent quasiparticle spin-orbit coupling ${\lambda }^{*}(\omega )$. This notion is generally applicable to all materials in which both the spin-orbit coupling and electronic correlations are sizable.

中文翻译：

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Sr2RuO4中的自旋轨道耦合和电子相关

我们研究自旋轨道耦合（SOC）与电子相关性的相互作用 $r_{\mathrm{2个}}{O}_4$使用动力学平均场理论。我们发现SOC不会影响相关性引起的重归一化，即使存在与这些材料相关的相当大的SOC，也可以验证Hund的钌酸金属图片。但是，发现SOC会显着改变电子结构。$ķ$不存在简并点的地方。我们解释了为什么这两个观察结果彼此一致，并计算了SOC对相关电子结构的影响。发现这些效应的大小取决于所考虑的准粒子状态的能量，从而使我们引入了与能量有关的准粒子自旋轨道耦合的概念${\lambda }^{*}（\omega ）$。该概念通常适用于自旋轨道耦合和电子相关性均相当大的所有材料。