2025/06/16 by Faruk Abdulla, Abdulla, Faruk
Earth and Planetary Sciences · Engineering · Materials Science · #Adhesion, Friction, and Surface Interactions #FOS: Physical sciences #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #nanoparticles nucleation surface interactions
paper · doi:10.48550/arxiv.2506.13562
openalex publication_date 2025/06/16 · openalex created_date 2025/10/13 · openalex updated_date 2026/07/28
We investigate finite-size topological phases in thin films of nodal line semimetals (co-dimension 2) in three dimensions. By analyzing the hybridization of drumhead surface states, we demonstrate that such systems can transition into either a lower-dimensional nodal line state (co-dimension 1) or a fully gapped trivial phase. Additionally, we explore the hybridization of bulk states along the nodal loop when the system is finite in directions parallel to the loop's plane. This generally results in a topologically nontrivial gap. In films finite along a single in-plane direction, a partial gap opens, giving rise to two-dimensional Weyl cones characterized by a one-dimensional ℤ invariant. When the system is finite along both in-plane directions, a fully gapped phase appears, distinguished by a ℤ invariant whose value increases with film thickness. We further discuss the bulk-boundary correspondence associated with these emergent topological phases.