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.
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Numerical simulations of two incommensurate tight-binding chains reveal a mobility edge with abrupt localization onset in higher-energy states, enhanced by weak magnetic fields but reversed by strong fields.
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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.
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Quantum localization in incommensurate tight-binding chains
Numerical simulations of two incommensurate tight-binding chains reveal a mobility edge with abrupt localization onset in higher-energy states, enhanced by weak magnetic fields but reversed by strong fields.