具有环形磁序的Haldom态
Haldane state with toroidal magnetic order
摘要：
我们表明，一个简化的两个带模型描述的二维晶体中的环形磁序是完全等价的，著名的蜂窝晶格在周期性的内部磁场与零总通量通过的单位细胞的Haldom模型。环形有序晶体可以看作是一个真实的物理系统，它在没有任何外部磁场的情况下，表现出拓扑非平凡的状态，这与Haldinger预言的量子霍尔效应相似。对没有自旋轨道相互作用的量子自旋霍尔效应进行了类似的描述。
英文摘要：
We show that a simplified two-band model describing toroidal magnetic order in two-dimensional crystal is entirely equivalent to the well-known Haldane model of a honeycomb lattice in periodic internal magnetic field with zero total flux through the unit cell. Crystals with toroidal ordering can be considered as real physical systems which should exhibit topologically nontrivial state, predicted by Haldane, that is similar to the quantum Hall effect regime without any external magnetic field. Analogous description is formulated for quantum spin Hall effect without any spin-orbit interaction.
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