Flat bands inside the interband gap retain strong localization with increasing disorder, while intersecting bands show an inverse Anderson transition or coexistence of both localization types at strong disorder.
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cond-mat.dis-nn 2years
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An exact Thouless-derived identity for Lyapunov exponents constrains mobility edge locations to a reduced energy set in bichromatic Aubry-André models, enforcing linear critical scaling with ν=1 and a non-universal energy-dependent prefactor near self-duality.
citing papers explorer
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Interplay of Flat-band and Anderson localizations in disordered moire superlattices
Flat bands inside the interband gap retain strong localization with increasing disorder, while intersecting bands show an inverse Anderson transition or coexistence of both localization types at strong disorder.
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Structural constraints on mobility edges in one-dimensional quasiperiodic systems
An exact Thouless-derived identity for Lyapunov exponents constrains mobility edge locations to a reduced energy set in bichromatic Aubry-André models, enforcing linear critical scaling with ν=1 and a non-universal energy-dependent prefactor near self-duality.