Shubnikov-de Haas oscillations are the most well-known magneto-oscillations in transport measurements. They are caused by Landau quantization of two-dimensional (2D) electron systems in the presence of a magnetic field. Here we demonstrate that a scanning tunneling microscope (STM) can locally measure similar magneto-oscillations in 2D systems. In Landau level spectroscopy measurements with fine magnetic-field increments, we observed fixed-energy magnetic-field-dependent oscillations of the local density of states. From the measured tunneling magneto-conductance oscillations acquired by STM, energy-momentum dispersions and Berry phases of a monolayer, Bernal-stacked bilayer, and ABC-stacked trilayer graphene were obtained. The reported method is applicable to a wide range of materials because it can obtain the magneto-oscillations of 2D systems larger than the magnetic length; importantly, it also requires no gate electrode.

Shubnikov-de Haas 振荡是输运测量中最著名的磁振荡。它们是由存在磁场的二维 (2D) 电子系统的朗道量子化引起的。在这里，我们证明了扫描隧道显微镜 (STM) 可以在 2D 系统中局部测量类似的磁振荡。在具有精细磁场增量的朗道能级光谱测量中，我们观察到了局部状态密度的固定能量依赖于磁场的振荡。从由 STM 获得的测量隧道磁导振荡，获得了单层、Bernal 堆叠双层和 ABC 堆叠三层石墨烯的能量-动量色散和 Berry 相。报道的方法适用于广泛的材料，因为它可以获得大于磁长度的二维系统的磁振荡；重要的是，它还不需要栅电极。