论文标题
拓扑半学阶段，在一维非速度系统中具有特殊点
Topological semimetal phase with exceptional points in one-dimensional non-Hermitian systems
论文作者
论文摘要
非高晶体晶体系统的能带是用普遍的布里鲁因区（GBZ）描述的，其独特特征在遗传系统中不存在。在本文中，我们表明，在具有sublattice对称性和时间反转对称性的一维非官员系统中，例如非固有的su-schrieffer-heeger模型，具有特殊点的拓扑半学相位是由GBZ的独特特征稳定的。也就是说，在更改系统参数的情况下，GBZ变形了，以使系统保持无间隙。还表明，每个能带分为三个区域，具体取决于本征态的对称性，并且该区域被cusps和GBZ中的特殊点分开。
Energy bands of non-Hermitian crystalline systems are described in terms of the generalized Brillouin zone (GBZ) having unique features which are absent in Hermitian systems. In this paper, we show that in one-dimensional non-Hermitian systems with both sublattice symmetry and time-reversal symmetry such as the non-Hermitian Su-Schrieffer-Heeger model, a topological semimetal phase with exceptional points is stabilized by the unique features of the GBZ. Namely, under a change of a system parameter, the GBZ is deformed so that the system remains gapless. It is also shown that each energy band is divided into three regions, depending on the symmetry of the eigenstates, and the regions are separated by the cusps and the exceptional points in the GBZ.
