NonCoplanar Kagomé反铁磁体中的拓扑磁振子绝缘体：arXiv的补充材料：1608.04561
Topological Magnon Insulator in NonCoplanar Kagomé Antiferromagnets: Supplemental Material of arXiv:1608.04561
摘要：
在绝缘的Kagomé铁磁体中的拓扑磁振子绝缘体已经在一系列论文中得到了广泛的研究。人们已经确定，Dzyaloshinskiii-Moriya相互作用是观察具有边模的非平凡拓扑磁振子的关键因素。然而，Kagomé晶格上的绝缘反铁磁体是被认为是研究量子自旋液体物理的操场的受抑系统。在这些系统中，磁感应强度可以与$\mathbf{q}=0$传播波矢产生共面但非共线的磁序。我们发现，拓扑磁振子带是不存在的，在这个共面的自旋织构形成鲜明对比，共线的铁磁体与自旋。因此，几何受挫的卡戈梅反铁磁体可以被认为是拓扑平凡的。在这些受抑磁体中的面外磁场的存在下，诱导了表现出非零自旋标量手征的非共面自旋织构。我们表明，场诱导自旋手征提供拓扑磁振子带在Kagomé反铁磁体，而不需要的双折射和生存在手征自旋液相阻挫磁铁。可能的实验材料包括铁黄钾铁矾KFe $_3$（OH）$_{6}$（SO $_{4}$）$_2$。
英文摘要：
Topological magnon insulators in insulating Kagomé ferromagnets have been extensively studied in a series of papers. It has been established that Dzyaloshinskii-Moriya interaction (DMI) is the key ingredient to observe a nontrivial topological magnon with edge modes. However, insulating antiferromagnets on the Kagomé lattice are frustrated systems considered as a playground for studying quantum spin liquid physics. In these systems the DMI can induce a coplanar but noncollinear magnetic orders with a $\mathbf{q}=0$ propagating wavevector. We show that topological magnon bands are absent in this coplanar spin texture in sharp contrast to collinear ferromagnets with DMI. Hence, geometrically frustrated Kagomé antiferromagnets can be deemed topologically trivial. The presence of an out-of-plane magnetic field in these frustrated magnets induces noncoplanar spin textures exhibiting a nonzero spin scalar chirality. We show that the field-induced spin chirality provides topological magnon bands in Kagomé antiferromagnets without the need of DMI and survives in the chiral spin liquid phase of frustrated magnets. Possible experimentally material includes iron jarosite KFe$_3$(OH)$_{6}$(SO$_{4}$)$_2$.
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