Topologically non-trivial states appear in a number of materials ranging from spin-orbit-coupling driven topological insulators to graphene. In multivalley conductors, such as mono- and bilayer graphene, despite a zero total Chern number for the entire Brillouin zone, Berry curvature with different signs concentrated in different valleys can affect the material’s transport characteristics. Here we consider thin films of rhombohedral graphite, which appear to retain truly two-dimensional properties up to tens of layers of thickness and host two-dimensional electron states with a large Berry curvature, accompanied by a giant intrinsic magnetic moment carried by electrons. The size of Berry curvature and magnetization in the vicinity of each valley can be controlled by electrostatic gating leading to a tuneable anomalous Hall effect and a peculiar structure of the two-dimensional Landau level spectrum.

从自旋轨道耦合驱动的拓扑绝缘体到石墨烯，许多材料都呈现拓扑非平凡状态。在单层和双层石墨烯等多谷导体中，尽管整个布里渊区的总Chern数为零，但具有不同符号的贝瑞曲率集中在不同的谷中会影响材料的传输特性。在这里，我们考虑了菱形六面体石墨薄膜，该薄膜似乎可以保留多达几十层的真正二维特性，并具有二维大贝里曲率的二维电子态，并伴随着巨大的电子固有磁矩。