论文标题
528个磁性层组和394个磁性棒组的新兴颗粒百科全书
Encyclopedia of emergent particles in 528 magnetic layer groups and 394 magnetic rod groups
论文作者
论文摘要
我们介绍了所有528个磁性层组和394个磁性棒基团的系统分类,分别描述了二维和一维晶体。我们的方法是通过在给定的磁层/杆组和磁性空间组之一之间构建对应关系,以便可以从相应的空间组的所有不可减少表示。基于这些组表示,我们明确构建了可能的带归化学的有效模型,并确定所有新兴颗粒,包括无旋转和稀疏病例。我们发现,有六种受磁性层组保护的颗粒,由磁性棒组保护三种。我们的工作为较低维晶体中的搜索和设计提供了有用的参考。
We present a systematic classification of emergent particles in all 528 magnetic layer groups and 394 magnetic rod groups, which describe two-dimensional and one-dimensional crystals respectively. Our approach is via constructing a correspondence between a given magnetic layer/rod group and one of the magnetic space group, such that all irreducible representations of the layer/rod group can be derived from those of the corresponding space group. Based on these group representations, we explicitly construct the effective models for possible band degeneracies and identify all emergent particles, including both spinless and spinful cases. We find that there are six kinds of particles protected by magnetic layer groups and three kinds by magnetic rod groups. Our work provides a useful reference for the search and design of emergent particles in lower dimensional crystals.