Resolving the Bulk-Boundary Correspondence Paradox on Low-Symmetry Surfaces of Weyl Semimetals

Abstract: Low-symmetry surfaces of topological semimetals offer access to boundary phenomena hidden on conventional facets, yet systematic studies remain scarce due to experimental challenges and the lack of a general framework for reconciling bulk and surface periodicities. Here, we investigate the (103) surface of the Weyl semimetal NdAlSi using angle resolved photoemission spectroscopy and density functional theory. The (103) surface is an example of a low symmetry surface that presents an apparent paradox to the bulk-boundary correspondence. The surface periodicity to which the topological surface states are expected to adhere does not correspond to the bulk periodicity of the Weyl points. By showing that successive bulk Brillouin zones generate replicas that accumulate into a superlattice commensurate with the surface Brillouin zone, we demonstrate how the apparent bulk boundary correspondence paradox is resolved and establish a universal criterion for arbitrary facets. The framework and experimental results further suggests that overlapping Fermi arcs can hybridize into closed Fermi arc loops, enriching boundary topology and enabling unconventional transport, interference, and collective phenomena unique to lowsymmetry facets.