共边八面体镱磁体中的阻挫和各向异性交换
Frustration and anisotropic exchange in ytterbium magnets with edge-shared octahedra
摘要：
我们考虑的结构各向异性交换相互作用的镱基绝缘稀土磁体建立从边共享八面体。我们认为，三价镱的功能和这种结构配置允许定性确定不同的各向异性交换制度，可能会出现在这样的化合物。这种超交换计算的有效性进行了测试，通过比较，以及呼吸烧绿石化合物Ba $_3$ Yb $_2$ Zn $_5$ O $_{11}$。有了这个在手，我们然后考虑应用到三维烧绿石尖晶石以及二维蜂窝和三角形晶格系统，从这样的边共享八面体。我们发现了一个扩展的制度，强大的新兴弱各向异性占主导地位的反铁磁海森堡相互作用，以及较小的区域具有强各向异性。我们讨论了我们的结果与上述结构的已知化合物的影响，如尖晶石AYb $_2$ X $_4$（A = Cd，Mg，X = S，Se），三角形化合物Yb MgGaO $_4$，最近出现的观察非常规磁现象的有前途的候选人。最后，我们推测的R $_2$ M $_2$ O $_7$烧绿石化合物和一些很少研究蜂窝镱磁体的影响。
英文摘要：
We consider the structure of anisotropic exchange interactions in ytterbium-based insulating rare-earth magnets built from edge-sharing octahedra. We argue the features of trivalent ytterbium and this structural configuration allow for a qualitative determination of the different anisotropic exchange regimes that may manifest in such compounds. The validity of such super-exchange calculations is tested through comparison to the well-characterized breathing pyrochlore compound Ba$_3$Yb$_2$Zn$_5$O$_{11}$. With this in hand, we then consider application to three-dimensional pyrochlore spinels as well as two-dimensional honeycomb and triangular lattice systems built from such edge-sharing octahedra. We find an extended regime of robust emergent weak anisotropy with dominant antiferromagnetic Heisenberg interactions as well as smaller regions with strong anisotropy. We discuss the implications of our results for known compounds with the above structures, such as the spinels AYb$_2$X$_4$ (A = Cd, Mg, X = S, Se), the triangular compound YbMgGaO$_4$, which have recently emerged as promising candidates for observing unconventional magnetic phenomena. Finally, we speculate on implications for the R$_2$M$_2$O$_7$ pyrochlore compounds and some little studied honeycomb ytterbium magnets.
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