论文标题
具有广义旋转对称性的判别指标
Discriminant indicator with generalized rotational symmetry
论文作者
论文摘要
具有广义反转对称性的判别指标仅根据高对称点的数据计算。他们允许系统地搜索出色的点。在本文中，我们建议针对具有广义$ n $ fold旋转对称性的二维和三维系统的判别指标（$ n = 4 $，$ 6 $）。与广义反转对称性一样，采用非平凡值的指标预测了特殊点和环的出现，而没有参考能的歧义。与广义反转对称性的情况有一个明显的区别是，只能从二维Brillouin区域中四个高对称点的数据中的两个数据中计算出具有广义$ n $ fold旋转对称性的指示器（$ n = 4 $，$ 6 $）。在三维系统中也观察到了这种差异。此外，我们还建议如何为电路制造具有通用四倍旋转对称性的二维系统。
Discriminant indicators with generalized inversion symmetry are computed only from data at the high-symmetry points. They allow a systematic search for exceptional points. In this paper, we propose discriminant indicators for two- and three-dimensional systems with generalized $n$-fold rotational symmetry ($n=4$, $6$). As is the case for generalized inversion symmetry, the indicator taking a nontrivial value predicts the emergence of exceptional points and loops without ambiguity of the reference energy. A distinct difference from the case of generalized inversion symmetry is that the indicator with generalized $n$-fold rotational symmetry ($n=4$, $6$) can be computed only from data at two of four high-symmetry points in the two-dimensional Brillouin zone. Such a difference is also observed in three-dimensional systems. Furthermore, we also propose how to fabricate a two-dimensional system with generalized four-fold rotational symmetry for an electrical circuit.
