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Fermi arcs on Weyl semimetals exhibit many exotic quantum phenomena. Usuallyconsidered on atomically-flat surfaces with approximate translation symmetry,Fermi arcs are rooted in peculiar topology of bulk Bloch bands ofthree-dimensional (3D) crystals. The fundamental question of whether a 1D Fermiarc can be probed remains unanswered. Such answer could significantly broadenpotential applications of Weyl semimetals. Here, we report a direct observationof robust edge states on atomic-scale ledges in TaAs using low-temperaturescanning tunneling microscopy/spectroscopy. Spectroscopic signatures andtheoretical calculations reveal that the 1D Fermi arcs arise from the chiralWeyl points of bulk crystal. The crossover from 2D Fermi arcs to eventualcomplete localization on 1D edges was arrested experimentally on a sequence ofsurfaces. Our results demonstrate extreme robustness of the bulk-boundarycorrespondence, which offers topological protection for Fermi arcs, even incases in which the boundaries are down to atomic-scale. The persistent 1D Fermiarcs can be profitably exploited in miniaturized quantum devices.

Observation of 1D Fermi arc states in Weyl semimetal TaAs