Adding a constant offset to the quasiperiodic potential in the diamond chain transforms anomalous mobility edges into conventional ones and demonstrates Avila's global theory fails to predict mobility edge locations.
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Unbound states survive and narrow in energy in near-infinitely deep quasiperiodic potentials; in non-Hermitian versions they form mixed bound-unbound phases with exact Lyapunov-exponent boundaries.
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Inapplicability of Avila's theory in the diamond chain with quasiperiodic disorder
Adding a constant offset to the quasiperiodic potential in the diamond chain transforms anomalous mobility edges into conventional ones and demonstrates Avila's global theory fails to predict mobility edge locations.
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Unbound States and Mixed Bound--Unbound Phases in Near-Infinitely Deep Potentials
Unbound states survive and narrow in energy in near-infinitely deep quasiperiodic potentials; in non-Hermitian versions they form mixed bound-unbound phases with exact Lyapunov-exponent boundaries.