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Spin-orbit effects in two-electron emission from ferromagnetic surfaces

机译：铁磁表面的双电子发射中的自旋轨道效应

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In previous experiments on electron-induced two-electron emission from the ferromagnetic surface system CoAV(110), spin-orbit coupling effects have been observed, which are comparable in size to the magnetic exchange effects. The present theoretical work aims at a detailed understanding of such effects, in particular their relation to the spin-dependent electronic structure and to collision dynamics. To this end, we have developed a formalism, which is based on a Dirac equation with an effective magnetic field. Magnetic exchange and spin-orbit coupling are thus incorporated simultaneously. Typical numerical two-electron emission results are presented for W(110) and for ultrathin Co films on W(110) together with the underlying spin- and layer-resolved valence electron spectral density. More detailed insight is provided by calculations, in which SOC was selectively switched off for the valence electron and for the primary and emitted electrons. Our theoretical results are in overall agreement with the experimental data. Furthermore, we predict sizable magnetic dichroism.
机译：在先前的关于从铁磁表面系统CoAV（110）进行电子诱导的双电子发射的实验中，已经观察到自旋轨道耦合效应，其大小与磁交换效应相当。当前的理论工作旨在详细了解这种效应，特别是它们与自旋相关的电子结构和碰撞动力学的关系。为此，我们开发了一种形式主义，它基于具有有效磁场的狄拉克方程。因此，磁性交换和自旋轨道耦合被同时结合。给出了W（110）和W（110）上的超薄Co膜的典型数值双电子发射结果，以及潜在的自旋和层分辨价电子光谱密度。计算提供了更详细的信息，其中针对价电子以及一次电子和发射电子有选择地关闭了SOC。我们的理论结果与实验数据完全吻合。此外，我们预测了相当大的磁二向色性。

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