Publication: Multiple scattering theory of non-Hermitian sonic second-order topological insulators
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2019-10-25
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Nature Research
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Abstract
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.
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Applied physics, Condensed-matter physics
Bibliographic citation
Communications Physics, (2019), v. 2, 132, pp.: 1-7.