Superconductivity involving finite-momentum pairing¹ can lead to spatial-gap and pair-density modulations, as well as Bogoliubov Fermi states within the superconducting gap. However, the experimental realization of their intertwined relations has been challenging. Here we detect chiral kagome superconductivity modulations with residual Fermi arcs in KV₃Sb₅ and CsV₃Sb₅ using normal and Josephson scanning tunnelling microscopy down to 30 millikelvin with a resolved electronic energy difference at the microelectronvolt level. We observe a U-shaped superconducting gap with flat residual in-gap states. This gap shows chiral 2a × 2a spatial modulations with magnetic-field-tunable chirality, which align with the chiral 2a × 2a pair-density modulations observed through Josephson tunnelling. These findings demonstrate a chiral pair density wave (PDW) that breaks time-reversal symmetry. Quasiparticle interference imaging of the in-gap zero-energy states reveals segmented arcs, with high-temperature data linking them to parts of the reconstructed vanadium d-orbital states within the charge order. The detected residual Fermi arcs can be explained by the partial suppression of these d-orbital states through an interorbital 2a × 2a PDW and thus serve as candidate Bogoliubov Fermi states. In addition, we differentiate the observed PDW order from impurity-induced gap modulations. Our observations not only uncover a chiral PDW order with orbital selectivity but also show the fundamental space–momentum correspondence inherent in finite-momentum-paired superconductivity.

涉及有限动量配对^{1 的}超导性可以导致空间能隙和对密度调制，以及超导能隙内的 Bogoliubov 费米态。然而，通过实验实现它们相互交织的关系一直具有挑战性。在这里，我们使用普通和约瑟夫森扫描隧道显微镜检测到 KV ₃ Sb ₅和 CsV ₃ Sb ₅中残余费米弧的手性戈薇超导调制，温度低至 30 毫开尔文，并在微电子伏水平上解析了电子能量差。我们观察到 U 形超导能隙，具有平坦的残余带内态。该间隙显示了具有磁场可调手性的手性 2 a × 2 a空间调制，这与通过约瑟夫森隧道观察到的手性 2 a × 2 a对密度调制一致。这些发现证明了手性电子对密度波（PDW）打破了时间反转对称性。带隙内零能态的准粒子干涉成像揭示了分段弧，高温数据将它们与电荷序内重建的钒d轨道态的部分联系起来。检测到的残余费米弧可以通过轨道间 2 a × 2 a PDW 对这些d轨道态的部分抑制来解释，从而作为候选 Bogoliubov 费米态。此外，我们将观察到的 PDW 阶数与杂质引起的间隙调制区分开来。我们的观察不仅揭示了具有轨道选择性的手性 PDW 序，而且还显示了有限动量配对超导性中固有的基本空间动量对应关系。