论文标题
杂质诱导磁订单中的$ _2 $ ruo $ _4 $
Impurity induced magnetic ordering in Sr$_2$RuO$_4$
论文作者
论文摘要
ti用小浓度代替sr $ _2 $ ruo $ _4 $ ti -wave vector $ \ boldsymbol {q} \ simeq（2π/3，2π/3）诱导不稳定的旋转密度波顺序，与三个Fermi表面表面中的两个筑巢载体相对应。我们考虑了这两个频段的微观模型，并分析通过非磁性TI掺杂导致磁性的相关效应。为此，我们使用微观模型的位置依赖性平均场近似值和现象学金茨堡 - Landau方法，这既可以提供一致的结果，又使我们能够检查不均匀的磁性。自旋轨道耦合还会导致每种杂质周围的自旋电流，与磁化极化结合产生电荷电流模式。在电荷和自旋通道的量规场理论中也讨论了这一点。如果电流通过系统运行，则这种自旋轨道耦合效果会引起磁性结构的有趣修饰。我们的发现允许对SR $ _ {2} $ ru $ _ {1-x} $ ti $ _ {x} $ o $ $ _ {4} $的实验数据进行更详细的分析。特别是，我们发现可用的测量与我们的理论预测一致。
Ti substituting Ru in Sr$_2$RuO$_4$ in small concentrations induces incommensurate spin density wave order with a wave vector $\boldsymbol{Q} \simeq (2 π/3, 2 π/3)$ corresponding to the nesting vector of two out of three Fermi surface sheets. We consider a microscopic model for these two bands and analyze the correlation effects leading to magnetic order through non-magnetic Ti-doping. For this purpose we use a position dependent mean field approximation for the microscopic model and a phenomenological Ginzburg-Landau approach, which both deliver consistent results and allow us to examine the inhomogeneous magnetic order. Spin-orbit coupling additionally leads to spin currents around each impurity, which in combination with the magnetic polarization produce a charge current pattern. This is also discussed within a gauge field theory in both charge and spin channel. This spin-orbit coupling effect causes an interesting modification of the magnetic structure, if currents run through the system. Our findings allow a more detailed analysis of the experimental data for Sr$_{2}$Ru$_{1-x}$Ti$_{x}$O$_{4}$. In particular, we find that the available measurements are consistent with our theoretical predictions.
