论文标题
时间反向不变$ C_2 $ - 超对称高阶拓扑超导体
Time-reversal-invariant $C_2$-symmetric higher-order topological superconductors
论文作者
论文摘要
我们为二维级DIII超导体提供了最小的晶格模型,并具有$ C_2 $受保护的高阶拓扑。尽管这类超导体在高对称臂上的对称特征值上不能以拓扑为特征,但我们提出了一个简单的基于Wannier-Wannier-基于Wannier-Wannier-基于轨道的真实空间诊断,以明确捕获相应的高阶拓扑。我们进一步确定并表征了最小模型中的各种常规拓扑阶段,包括弱拓扑超导体和具有手性对称性保护的鼻拓扑超导体。还系统地研究了该疾病效应,以证明高阶散装对应关系的鲁棒性。我们的理论为在DIII类超导体中预测和诊断$ C_2 $受保护的高阶拓扑奠定了基础。
We propose a minimal lattice model for two-dimensional class DIII superconductors with $C_2$-protected higher-order topology. While this class of superconductors cannot be topologically characterized by symmetry eigenvalues at high symmetry momenta, we propose a simple Wannier-orbital-based real-space diagnosis to unambiguously capture the corresponding higher-order topology. We further identify and characterize a variety of conventional topological phases in our minimal model, including a weak topological superconductor and a nodal topological superconductor with chiral-symmetry protection. The disorder effect is also systematically studied to demonstrate the robustness of higher-order bulk-boundary correspondence. Our theory lays the groundwork for predicting and diagnosing $C_2$-protected higher-order topology in class DIII superconductors.