Quantum Spin Ices and Topological Phases from Dipolar-Octupolar Doublets on the Pyrochlore Lattice
Quantum Spin Ices and Topological Phases from Dipolar-Octupolar Doublets on the Pyrochlore Lattice
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DOI：
10.1103/physrevlett.112.167203
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发表时间：
2014-04-25
影响因子：
8.6
通讯作者：
Hermele, Michael
中科院分区：
文献类型：
--
作者：
Huang, Yi-Ping;Chen, Gang;Hermele, Michael
我们考虑一类 d 和 f 电子系统，其中偶极-八极克拉默双峰出现在烧绿石晶格的位置上。对于这样的双峰，赝自旋的两个分量像磁偶极子一样变换，而另一个分量像磁八极张量的分量一样变换。基于对称性分析，我们构建并研究了流动和局部极限下的偶极-八极双峰模型。在这两个限制下，得到的模型都具有令人惊讶的简单形式。在巡回极限中，我们发现了拓扑绝缘行为。在局域极限下，最通用的最近邻自旋模型是 XYZ 模型。我们证明这个 XYZ 模型表现出两个不同的量子自旋冰 (QSI) 相，我们将其称为偶极 QSI 和八极 QSI。最后我们讨论了与真实材料系统的潜在相关性。
We consider a class of d- and f -electron systems in which dipolar-octupolar Kramers doublets arise on the sites of the pyrochlore lattice. For such doublets, two components of the pseudospin transform like a magnetic dipole, while the other transforms like a component of the magnetic octupole tensor. Based on a symmetry analysis, we construct and study models of dipolar-octupolar doublets in itinerant and localized limits. In both limits, the resulting models are of surprisingly simple form. In the itinerant limit, we find topological insulating behavior. In the localized limit, the most general nearest-neighbor spin model is the XYZ model. We show that this XYZ model exhibits two distinct quantum spin ice (QSI) phases, that we dub dipolar QSI, and octupolar QSI. We conclude with a discussion of potential relevance to real material systems.