Z $_n$和T对称纳米磁体的几何相位作为分类工具包
The geometric phase of Z$_n$- and T-symmetric nanomagnets as a classification toolkit
摘要：
我们导出了由点群对称性和时间反演对称性的唯一组合所产生的非平凡几何相位的一般形式。该相例如在磁性吸附原子吸附在非磁性C $_n$晶体表面上时出现，其中$n$表示主轴的折叠。本征态的能量序和相关的量子数完全由这个量决定。此外，该阶段允许方便地预测任何准备状态的保护机制，从而揭示大量实验并允许分类方案。由于其鲁棒性，该几何相位对于量子计算中的大量应用也具有很大的相关性，其中高度期望具有长弛豫时间的拓扑保护状态。
英文摘要：
We derive the general form of the non-trivial geometric phase resulting from the unique combination of point group and time reversal symmetries. This phase arises e.g. when a magnetic adatom is adsorbed on a non-magnetic C$_n$ crystal surface, where $n$ denotes the fold of the principal axis. The energetic ordering and the relevant quantum numbers of the eigenstates are entirely determined by this quantity. Moreover, this phase allows to conveniently predict the protection mechanism of any prepared state, shedding light onto a large number of experiments and allowing a classification scheme. Owing to its robustness this geometric phase also has great relevance for a large number of applications in quantum computing, where topologically protected states bearing long relaxation times are highly desired.
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