Abstract
Higher-order topological insulators and superconductors are topological phases that can exhibit novel boundary states on corners or edges. The effects of non-Hermiticity on higher-order topological physics have been presented recently in a few works. Here we extend this concept into non-Hermitian photonic crystals. For such a non-Hermitian system, we find that the second-order corner state occurs at all corners when the parity-time symmetry is intact, while the second-order corner state occurs at some particular corners when the parity-time symmetry is broken. We hope the newly found corner modes may expand the understanding in a non-Hermitian photonic crystals system.
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