Derives asymptotic real-space decay of flat-band projectors: exponential with algebraic prefactor for linearly independent CLS, compact for orthogonal limit, and power-law for singular limit with diverging localization length.
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Bipartite non-Hermitian lattices support exceptional flat bands that arise from sublattice degeneracy mismatch and persist beyond exceptional points with biorthogonal modes spanning both sublattices.
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Real space decay of flat band projectors from compact localized states
Derives asymptotic real-space decay of flat-band projectors: exponential with algebraic prefactor for linearly independent CLS, compact for orthogonal limit, and power-law for singular limit with diverging localization length.
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Exceptional flat bands in bipartite non-Hermitian lattices
Bipartite non-Hermitian lattices support exceptional flat bands that arise from sublattice degeneracy mismatch and persist beyond exceptional points with biorthogonal modes spanning both sublattices.