We investigate an effective model of proximity modified graphene (or symmetrylike materials) with broken time-reversal symmetry. We predict the appearance of quantum anomalous Hall phases by computing bulk band gap and Chern numbers for benchmark combinations of system parameters. Allowing for staggered exchange field enables quantum anomalous Hall effect in flat graphene with Chern number C=1. We explicitly show edge states in zigzag and armchair nanoribbons and explore their localization behavior. Remarkably, the combination of staggered intrinsic spin-orbit and uniform exchange coupling gives topologically protected (unlike in time-reversal systems) pseudohelical states, whose spin is opposite in opposite zigzag edges. Rotating the magnetization from out of plane to in plane makes the system trivial, allowing us to control topological phase transitions. We also propose, using density functional theory, a material platform-graphene on Ising antiferromagnet MnPSe_{3}-to realize staggered exchange (pseudospin Zeeman) coupling.

中文翻译：

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接近感应均匀和交错自旋轨道与交换耦合在石墨烯中的量子异常霍尔效应。

我们研究了破损的时间反转对称性的邻近改性石墨烯（或类似对称材料）的有效模型。我们通过计算系统参数的基准组合的带隙和切恩数来预测量子异常霍尔相的出现。允许交错的交换场，可在Chern数C = 1的平面石墨烯中实现量子异常霍尔效应。我们明确显示了锯齿形和扶手椅状纳米带的边缘状态，并探讨了它们的定位行为。值得注意的是，交错的固有自旋轨道和均匀交换耦合的组合产生了拓扑受保护的（不同于时间反转系统）伪螺旋状态，其自旋在相对的锯齿形边缘是相反的。将磁化强度从平面外旋转到平面内会使系统变得微不足道，使我们能够控制拓扑相变。我们还使用密度泛函理论，提出了在伊辛反铁磁体MnPSe_ {3}上的材料平台石墨烯，以实现交错交换（伪旋转塞曼）耦合。