Symmetry-driven transitions between flat bands and Dirac cones in bilayer kagome lattices
Phys. Rev. B 113, 125405 – Published 2 March, 2026
DOI: https://doi.org/10.1103/jn5j-j8bw
Abstract
Flat bands (FBs) and Dirac cones represent two distinctive features of topological electronic systems; however, a unified mechanism enabling transitions between them has remained elusive to date. Here, we demonstrate a symmetry-governed and tunable transition from flat bands to Dirac cones in AB-stacked bilayer kagome lattices. This transition is mediated by the interplay among destructive quantum interference (DQI), rotational symmetry, and spatial inversion symmetry. Strong interlayer coupling enhances DQI and stabilizes compact localized states that produce FBs, while weaker coupling allows and inversion symmetries to dominate, giving rise to robust Dirac nodal points. Using a minimal tight-binding model, we map the continuous evolution of topological states, including type-II and type-III Dirac cones, spin-1 Dirac cones, and partial flat bands, as a function of interlayer coupling. We further demonstrate this transition mechanism by examining an AB-stacked bilayer derived from the experimentally synthesized structure. In particular, first-principles calculations on bilayer reveal that vertical strain (or pressure) modulates the interlayer interactions, enabling the full FB-Dirac cone transition sequence.These findings establish a realistic pathway for gaining deeper insight into flat-band physics and for engineering tunable topological phases in two-dimensional materials.