AI 中文总结
该研究分析正方晶格px+ipy超导体的几何与拓扑性质，构建受温度保护的局域拓扑标记，关联ARPES可测的电子谱函数，揭示范霍夫对数分布，分析实空间表示与拓扑超流密度。
AI 中文摘要
我们对正方晶格上px+ipy超导体的几何与物理性质展开分析，重点关注半填充时的拓扑相变。我们从布里渊区内特定狄拉克点出发，构建了一种局域拓扑标记，该标记由布洛赫球上定义的两个一维Z（Z₂）不变量叠加得到。我们将该拓扑标记与通过局域动量分辨电子密度对频率积分得到的电子谱函数关联，该谱函数可通过角分辨光电子能谱（ARPES）测量，且我们证明其在包含温度效应时仍能得到良好保护。对动量空间中与测量不确定度相关的特定点周围小区域积分，还能揭示局域标记导数中态密度的范霍夫对数分布，同时保留拓扑信息。拓扑相变对应受保护的半金属态。我们从关联函数分析该拓扑标记的实空间表示，并给出拓扑超流密度等物理响应。
英文摘要
We present an analysis on the geometrical and physical nature of the $p_x + ip_y$ superconductor on the square lattice, with an emphasis on the topological phase transition at half-filling. We develop a local topological marker from specific Dirac points within the Brillouin zone, which is introduced via the addition of two one-dimensional (1D) $\mathbb{Z}$ $(\mathbb{Z}_2$) invariants defined on the Bloch sphere. We relate this topological marker to the electron spectral function integrated on frequency through the local momentum-resolved electron density, which may be measured via Angle Resolved Photoemission Spectroscopy (ARPES), and show that it remains well-protected including temperature effects. Integrating on a small area around a specific point in momentum space associated to the measure uncertainty, this also reveals the Van Hove logarithmic profile of the density of states in the derivative of the local marker while preserving the topological information. Topological transitions correspond to a protected semi-metal. We analyse the real space representation of this topological marker from correlation functions. We present physical responses such as the topological superfluid density.
Comments7 pages, 3 figures, additional information
