Robustness of topological corner modes against disorder with application to acoustic networks
| Autor: | Antonin Coutant, Georgios Theocharis, Vincent Pagneux, Vassos Achilleos, Olivier Richoux |
|---|---|
| Přispěvatelé: | Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Institut de Mathématiques de Bourgogne [Dijon] (IMB), Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université de Bourgogne (UB) |
| Rok vydání: | 2020 |
| Předmět: |
[PHYS]Physics [physics]
Physics Condensed Matter - Mesoscale and Nanoscale Physics Classical Physics (physics.class-ph) FOS: Physical sciences Physics - Classical Physics 02 engineering and technology 021001 nanoscience & nanotechnology Topology 01 natural sciences Robustness (computer science) Topological insulator Mesoscale and Nanoscale Physics (cond-mat.mes-hall) 0103 physical sciences Condensed Matter::Strongly Correlated Electrons 010306 general physics 0210 nano-technology |
| Zdroj: | Physical Review B Physical Review B, American Physical Society, 2020, 102 (21), pp.214204. ⟨10.1103/PhysRevB.102.214204⟩ |
| ISSN: | 2469-9950 2469-9969 |
| DOI: | 10.1103/physrevb.102.214204 |
| Popis: | We study the two-dimensional extension of the Su-Schrieffer-Heeger model in its higher order topological insulator phase, which is known to host corner states. Using the separability of the model into a product of one-dimensional Su-Schrieffer-Heeger chains, we analytically describe the eigen-modes, and specifically the zero-energy level, which includes states localized in corners. We then consider networks with disordered hopping coefficients that preserve the chiral (sublattice) symmetry of the model. We show that the corner mode and its localization properties are robust against disorder if the hopping coefficients have a vanishing flux on appropriately defined super plaquettes. We then show how this model with disorder can be realised using an acoustic network of air channels, and confirm the presence and robustness of corner modes. 18 pages, 13 figures. V2: small clarifications added, subsections of section III re-ordered, color scales added on figures, new appendix B-2 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|