发表机构
IMDEA Nanoscience; Donostia International Physics Center; Department of Condensed Matter Physics, Weizmann Institute of Science（IMDEA纳米科学研究所; 圣塞巴斯蒂安国际物理中心; 魏茨曼科学研究所凝聚态物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过包含所有价轨道的模型计算石墨烯堆叠中的内禀自旋-轨道耦合，发现其改变菱面体堆叠的相图与费米面，并影响弱磁场下的磁化，表明多层体系中SOC不可忽略。
AI 中文摘要
过去，单层石墨烯中自旋-轨道耦合（SOC）的效应已被深入研究。由于石墨烯的电子结构几乎不受影响，其影响通常被忽略。因此，在其他石墨体系中，SOC也一直被忽视。在本工作中，我们基于一个包含碳的所有价轨道以及原子内相互作用的模型，计算了石墨烯层堆叠中的内禀SOC。石墨烯多层中主要的自旋-轨道项将类拉什巴的自旋翻转过程与层间跳跃相结合。我们发现，这一内禀项改变了有限菱面体堆叠的相图和费米面，并导致弱磁场中磁化强度出现明显的密度依赖性。本文表明，与单层情况不同，SOC在多层层状体系中具有重要影响，在研究其物理性质时不应被忽略。
英文摘要
The effect of spin-orbit coupling (SOC) in monolayer graphene has been thoroughly studied in the past. Its impact is commonly disregarded since the electronic structure of graphene is almost unaffected. Consequently, SOC has also been ignored in other graphitic systems. In this work, we calculate the intrinsic SOC in stacks of graphene layers from a model that includes all the valence orbitals of carbon as well as the intra-atomic SOC.The leading spin-orbit term in a graphene multilayer combines a Rashba-like spin-flip process with interlayer hopping. We find that this intrinsic term modifies the phase diagram and Fermi surfaces of finite rhombohedral stacks, and it leads to a distinct density-dependence of the magnetization in weak magnetic fields. This Letter shows that, unlike in the single-layer case, SOC has important consequences in multilayer graphitic systems and it should not be neglected when studying their physical properties.
