000136303 001__ 136303 000136303 005__ 20260217205525.0 000136303 0247_ $$2doi$$a10.1088/1367-2630/ad5bf9 000136303 0248_ $$2sideral$$a139284 000136303 037__ $$aART-2024-139284 000136303 041__ $$aeng 000136303 100__ $$aDowning, C A 000136303 245__ $$aUnconventional edge states in a two-leg ladder 000136303 260__ $$c2024 000136303 5060_ $$aAccess copy available to the general public$$fUnrestricted 000136303 5203_ $$aSome 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. 000136303 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es 000136303 590__ $$a2.8$$b2024 000136303 592__ $$a0.936$$b2024 000136303 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b38 / 114 = 0.333$$c2024$$dQ2$$eT2 000136303 593__ $$aPhysics and Astronomy (miscellaneous)$$c2024$$dQ1 000136303 594__ $$a5.5$$b2024 000136303 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000136303 700__ $$0(orcid)0000-0001-9273-8165$$aMartín-Moreno, L 000136303 700__ $$aFox, O I R 000136303 773__ $$g26, 7 (2024), 073014 [24 pp.]$$pNew j. phys.$$tNew Journal of Physics$$x1367-2630 000136303 8564_ $$s4816791$$uhttps://zaguan.unizar.es/record/136303/files/texto_completo.pdf$$yVersión publicada 000136303 8564_ $$s626927$$uhttps://zaguan.unizar.es/record/136303/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000136303 909CO $$ooai:zaguan.unizar.es:136303$$particulos$$pdriver 000136303 951__ $$a2026-02-17-20:30:29 000136303 980__ $$aARTICLE