RT Journal Article T1 Multiple scattering theory of non-Hermitian sonic second-order topological insulators A1 Rosendo López, María A1 Zhang, Zhiwang A1 Torrent, Daniel A1 Christensen, Johan AB Topological phases of sound enable unconventional confinement of acoustic energy at the corners in higher-order topological insulators. These unique states which go beyond the conventional bulk-boundary correspondence have recently been extended to non-Hermitian wave physics comprising finite crystal structures including loss and gain units. We use a multiple scattering theory to calculate these topologically trapped complex states that agree very well to finite element predictions. Moreover, our semi-numerical tool allows us to compute the spectral dependence of corner states in the presence of defects, illustrating the limits of the topological resilience of these confined non-Hermitian acoustic states. PB Nature Research SN 2399-3650 YR 2019 FD 2019-10-25 LK https://hdl.handle.net/10016/31592 UL https://hdl.handle.net/10016/31592 LA eng NO 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). D.T. acknowledges the support of MINECO through a Ramón y Cajal grant (Grant No. RYC-2016-21188) and of the Ministry of Science, Innovation and Universities trough project number RTI2018-093921-A-C42. DS e-Archivo RD 1 sept. 2024