RT Journal Article T1 Corner states in a second-order mechanical topological insulator A1 Chen, Chun Wei A1 Chaunsali, Rajesh A1 Christensen, Johan A1 Theocharis, Georgios A1 Yang, Jinkyu AB Demonstration of topological boundary modes in elastic systems has attracted a great deal of attention over the past few years due to its unique protection characteristic. Recently, second-order topological insulators have been proposed in manipulating the topologically protected localized states emerging only at corners. Here, we numerically and experimentally study corner states in a two-dimensional phononic crystal, namely a continuous elastic plate with embedded bolts in a hexagonal pattern. We create interfacial corners by adjoining trivial and non-trivial topological configurations. Due to the rich interaction between the bolts and the continuous elastic plate, we find a variety of corner states of and devoid of topological origin. Strikingly, some of the corner states are not only highly-localized but also tunable. Taking advantage of this property, we experimentally demonstrate asymmetric corner localization in a Z-shaped domain wall. This finding could create interest in exploration of tunable corner states for the use of advanced control of wave localization. PB Springer Science and Business Media LLC SN 2662-4443 YR 2021 FD 2021-06-11 LK https://hdl.handle.net/10016/34701 UL https://hdl.handle.net/10016/34701 LA eng NO C.-W.C. and J.Y. are grateful for the support from NSF CAREER1553202 and EFRI-1741685). R.C. and G.T. acknowledge support by the project CS.MICRO funded under the program Etoiles Montantes of the Region Pays de la Loire. J.C. acknowledges the support from the European Research Council (ERC) through the Starting Grant 714577 PHONOMETA and from the MINECO through a Ramón y Cajal grant (Grant No. RYC-2015-17156). DS e-Archivo RD 1 sept. 2024