手性能带交叉的基本定律：局域约束、全局约束与拓扑相图
Fundamental laws of chiral band crossings: local constraints, global constraints, and topological phase diagrams
AI总结：
本文推导出手性能带交叉的局域与全局约束定律，结合费米子加倍定理刻画交叉网络，并应用于证明多种交叉存在性，揭示陈数5的四重交叉及候选材料BaAsPt。
摘要：
我们推导出手性能带交叉的两条基本定律：（i）一条将陈数与旋转本征值的相位跳跃联系起来的局域约束；以及（ii）一条确定旋转轴上手性交叉数量的全局约束。结合费米子加倍定理，这些定律描述了手性能带交叉网络必须满足的所有条件。我们应用这些基本定律证明了强制双外尔点、节面以及一般外尔点等的存在性。此外，我们表明手性空间群对称性无法稳定具有有限陈数的节线。将局域约束与显式低能模型相结合，我们确定了所有多重交叉的通用拓扑相图。值得注意的是，我们发现了一个陈数为5的四重交叉，这超过了先前设想的最大陈数4。我们确定BaAsPt为一种合适的材料，其具有这种四重交叉，在费米能量附近表现出陈数5。
英文摘要：
We derive two fundamental laws of chiral band crossings: (i) a local constraint relating the Chern number to phase jumps of rotation eigenvalues; and (ii) a global constraint determining the number of chiral crossings on rotation axes. Together with the fermion doubling theorem, these laws describe all conditions that a network of chiral band crossing must satisfy. We apply the fundamental laws to prove the existence of enforced double Weyl points, nodal planes, and generic Weyl points, among others. In addition, we show that chiral space-group symmetries cannot stabilize nodal lines with finite Chern numbers. Combining the local constraint with explicit low-energy models, we determine the generic topological phase diagrams of all multi-fold crossings. Remarkably, we find a four-fold crossing with Chern number 5, which exceeds the previously conceived maximum Chern number of 4. We identify BaAsPt as a suitable material with this four-fold crossing exhibiting Chern number 5 near the Fermi energy.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
