论文标题
非热型HOPF-LINK杰出线半表示中的散装对应关系
The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
论文作者
论文摘要
我们考虑一个3维（3D）非弱点异常线半学模型，并分别采用X，Y和Z方向的开放边界条件。在每种情况下，我们都计算出块状对应关系的参数区域。散装对应关系的崩溃表现出与广义布里鲁因区（GBZ）的单位圆的偏差以及用开放边界条件（OBC）和周期性边界条件（PBC）计算出的光谱之间的差异。如果使用GBZ计算PBC光谱，则可以回收OBC和PBC光谱之间的一致性。我们同时使用单位圆形布里渊区（BZ）和GBZ来绘制拓扑相图。对两个相图之间差异的系统分析表明，有必要使用GBZ表征非 - 热模型的庞大对应关系。
We consider a 3-dimensional (3D) non-Hermitian exceptional line semimetal model and take open boundary conditions in x, y, and z directions separately. In each case, we calculate the parameter regions where the bulk-boundary correspondence is broken. The breakdown of the bulk-boundary correspondence is manifested by the deviation from unit circles of generalized Brillouin zones (GBZ) and the discrepancy between spectra calculated with open boundary conditions (OBC) and periodic boundary conditions (PBC). The consistency between OBC and PBC spectra can be recovered if the PBC spectra are calculated with GBZs. We use both unit-circle Brillouin zones (BZ) and GBZs to plot the topological phase diagrams. The systematic analysis of the differences between the two phase diagrams suggests that it is necessary to use GBZ to characterize the bulk-boundary correspondence of non-Hermitian models.
