136303 20260217205525.0 doi 10.1088/1367-2630/ad5bf9 sideral 139284 ART-2024-139284 eng Downing, C A Unconventional edge states in a two-leg ladder 2024 Access copy available to the general public Unrestricted Some popular mechanisms for restricting the diffusion of waves include introducing disorder (to provoke Anderson localization) and engineering topologically non-trivial phases (to allow for topological edge states to form). However, other methods for inducing somewhat localized states in elementary lattice models have been historically much less studied. Here we show how edge states can emerge within a simple two-leg ladder of coupled harmonic oscillators, where it is important to include interactions beyond those at the nearest neighbor range. Remarkably, depending upon the interplay between the coupling strength along the rungs of the ladder and the next-nearest neighbor coupling strength along one side of the ladder, edge states can indeed appear at particular energies. In a wonderful manifestation of a type of bulk-edge correspondence, these edge state energies correspond to the quantum number for which additional stationary points appear in the continuum bandstructure of the equivalent problem studied with periodic boundary conditions. Our theoretical results are relevant to a swathe of classical or quantum lattice model simulators, such that the proposed edge states may be useful for applications including waveguiding in metamaterials and quantum transport. info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 2.8 2024 PHYSICS, MULTIDISCIPLINARY 38 / 114 = 0.333 2024 Q2 T2 0.936 2024 Physics and Astronomy (miscellaneous) 2024 Q1 5.5 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Martín-Moreno, L (orcid)0000-0001-9273-8165 Fox, O I R 26, 7 (2024), 073014 [24 pp.] New j. phys. New Journal of Physics 1367-2630 4816791 http://zaguan.unizar.es/record/136303/files/texto_completo.pdf Versión publicada 626927 http://zaguan.unizar.es/record/136303/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:136303 articulos driver 2026-02-17-20:30:29 ARTICLE