Layer-Resolved Topological Metals in the Bilayer Lieb Lattice
This paper identifies a novel time-reversal-invariant topological metallic phase in a bilayer Lieb lattice characterized by a quantized layer-resolved pseudo-spin Chern number, where specific orbital-angular-momentum-dependent couplings tune the system between semimetallic and metallic regimes while preserving distinct, asymmetric edge states that can be selectively manipulated via interlayer and intralayer interactions.