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    Corner states in a second-order acoustic topological insulator as bound states in the continuum

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    Type
    Article
    Authors
    Chen, Zeguo cc
    Xu, Changqing cc
    Al Jahdali, Rasha cc
    Mei, Jun
    Wu, Ying cc
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    KAUST Grant Number
    OSR-2016-CRG5-2950
    BAS/1/1626-01-01
    Date
    2019-08-09
    Permanent link to this record
    http://hdl.handle.net/10754/656754
    
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    Abstract
    A second-order topological insulator is designed on a platform of a two-dimensional (2D) square lattice with all coupling coefficients having the same sign. Simulated results show the existence of two types of nontrivial corner states in this system, with one type being identified as bound states in the continuum (BIC). The non-BIC corner states are also found by surrounding a nontrivial sample by a trivial one, and interestingly, these perfectly confined corner states can be gradually delocalized and merge into edge states by tuning the intersystem coupling coefficient. Both BIC and non-BIC corner states originate from bulk dipole moments rather than quantized quadrupole moments, with the corresponding topological invariant being the 2D Zak phase. Full wave simulations based on realistic acoustic waveguide structures are demonstrated. Our proposal provides an experimentally feasible platform for the study of the interplay between BIC and a high-order topological insulator, and the evolution from corner states to edge states.
    Citation
    Chen, Z.-G., Xu, C., Al Jahdali, R., Mei, J., & Wu, Y. (2019). Corner states in a second-order acoustic topological insulator as bound states in the continuum. Physical Review B, 100(7). doi:10.1103/physrevb.100.075120
    Sponsors
    The work described here are supported by King Abdullah University of Science and Technology Office of Sponsored Research (OSR) under Award No. OSR-2016-CRG5-2950 and Baseline Research Fund BAS/1/1626-01-01, and by the National Natural Science Foundation of China (Grants No. 11274120 and 11574087).
    Publisher
    American Physical Society (APS)
    Journal
    Physical Review B
    DOI
    10.1103/PhysRevB.100.075120
    Additional Links
    https://link.aps.org/doi/10.1103/PhysRevB.100.075120
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevB.100.075120
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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