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Non-Hermitian butterfly spectra in a family of quasiperiodic lattices

Non-Hermitian butterfly spectra in a family of quasiperiodic lattices

We propose a family of exactly solvable quasiperiodic lattice models with analytical complex mobility edges, which can incorporate mosaic modulations as a straightforward generalization. By sweeping a potential tuning parameter $\ensuremath{\delta}$, we demonstrate a kind of interesting butterflylike spectra in a complex energy plane, which depicts energy-dependent extended-localized transitions sharing …