2+1-D Dirac材料在人工猝灭引力奇点下的测地几何
Geodesic geometry of 2+1-D Dirac materials subject to artificial, quenched gravitational singularities
摘要：
量子材料中无隙狄拉克电子费米速度的空间调制在数学上等价于某类弯曲时空流形上的无质量费米子问题。我们研究零测地透镜通过这些流形，这是占主导地位的曲率奇点，如奇性墙（狄拉克锥沿一个方向）。双测地线透镜穿过这些墙壁，但这样做是通过完美地准直到一个局部的过境角。然而，反重力墙可以将零测地线捕获到以重复凌日为特征的稳定或亚稳定轨道。我们推测诱导一维的作用，这种束缚轨道在二维脏d波超导。
英文摘要：
The spatial modulation of the Fermi velocity for gapless Dirac electrons in quantum materials is mathematically equivalent to the problem of massless fermions on a certain class of curved spacetime manifolds. We study null geodesic lensing through these manifolds, which are dominated by curvature singularities, such as nematic singularity walls (where the Dirac cone flattens along one direction). Null geodesics lens across these walls, but do so by perfectly collimating to a local transit angle. Nevertheless, nematic walls can trap null geodesics into stable or metastable orbits characterized by repeated transits. We speculate about the role of induced one-dimensionality for such bound orbits in 2D dirty d-wave superconductivity.
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