论文标题
自旋轨道耦合临近石墨烯中的Landau水平：散装状态
Landau levels in spin-orbit coupling proximitized graphene: bulk states
论文作者
论文摘要
我们研究了通过大型自旋轨道耦合材料（例如过渡金属二核化剂或拓扑绝缘子）邻近的石墨烯中Landau水平的磁场依赖性。除了RASHBA耦合外，还包括两种类型的固有的自旋轨道相互作用，均匀的（Kane-Mele型）和交错（Valley Zeeman型），以解决与磁轨道效应的相互作用。采用连续模型方法，我们得出了低能量Landau水平的分析表达式，可用于从扫描探针光谱实验中提取局部轨道和自旋轨道耦合参数。我们比较不同的参数状态，以鉴定光谱中内在的自旋轨道耦合的相对和绝对幅度的指纹。由WSE $ _2 $邻近的石墨烯的倒带结构导致了在交叉场上整个散装间隙的有趣交叉，从而提供了对Rashba Spin-spin-Orbit耦合大小的见解。 Landau水平光谱可以通过分析Landau风扇图中的能量和交叉数量的对称性来帮助解决固有的自旋轨道耦合的类型和迹象。最后，我们的结果表明，在近代化石墨烯中对狄拉克电子的磁场的强烈反应可能与极大的自动旋转磁矩有关。
We study the magnetic-field dependence of Landau levels in graphene proximitized by large spin-orbit coupling materials, such as transition-metal dichalcogenides or topological insulators. In addition to the Rashba coupling, two types of intrinsic spin-orbit interactions, uniform (Kane-Mele type) and staggered (valley Zeeman type), are included, to resolve their interplay with magnetic orbital effects. Employing a continuum model approach, we derive analytic expressions for low-energy Landau levels, which can be used to extract local orbital and spin-orbit coupling parameters from scanning probe spectroscopy experiments. We compare different parameter regimes to identify fingerprints of relative and absolute magnitudes of intrinsic spin-orbit coupling in the spectra. The inverted band structure of graphene proximitized by WSe$_2$ leads to an interesting crossing of Landau states across the bulk gap at a crossover field, providing insights into the size of Rashba spin-orbit coupling. Landau level spectroscopy can help to resolve the type and signs of the intrinsic spin-orbit coupling by analyzing the symmetry in energy and number of crossings in the Landau fan chart. Finally, our results suggest that the strong response to the magnetic field of Dirac electrons in proximitized graphene can be associated with extremely large self-rotating magnetic moments.
