Non-Hermitian skin effect emerges at corners and edges in a 2D photonic crystal with lossy magneto-optical materials, protected by point gaps in complex eigenfrequencies, along with topological edge states.
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Ordinary lattice defects induce mid-gap bound states that distinguish topological insulators from normal insulators and remain robust to weak impurities.
Renormalizing the Dirac field by the metric determinant and lattice regularization produces PT-symmetric Hamiltonians for static diagonal metrics and non-Hermitian dynamics with skin effect or nonunitary evolution for time- or space-dependent metrics.
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Non-Hermitian corner skin effect in a two-dimensional photonic crystal
Non-Hermitian skin effect emerges at corners and edges in a 2D photonic crystal with lossy magneto-optical materials, protected by point gaps in complex eigenfrequencies, along with topological edge states.
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Ordinary lattice defects as probes of topology
Ordinary lattice defects induce mid-gap bound states that distinguish topological insulators from normal insulators and remain robust to weak impurities.
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Metric-induced non-Hermitian physics
Renormalizing the Dirac field by the metric determinant and lattice regularization produces PT-symmetric Hamiltonians for static diagonal metrics and non-Hermitian dynamics with skin effect or nonunitary evolution for time- or space-dependent metrics.