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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Incommensurability in a 1D quasiperiodic model enhances superconductivity by raising Tc and replacing BCS exponential scaling with algebraic scaling in the critical and localized phases.
A gain-loss modulated non-Hermitian reservoir between mirror-symmetric systems can exhibit complementary Lucas sequences in linearly localized edge states and a constant-intensity mode.
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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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Incommensurability-Induced Enhancement of Superconductivity in One Dimensional Critical Systems
Incommensurability in a 1D quasiperiodic model enhances superconductivity by raising Tc and replacing BCS exponential scaling with algebraic scaling in the critical and localized phases.
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Observing complementary Lucas sequences using non-Hermitian zero modes
A gain-loss modulated non-Hermitian reservoir between mirror-symmetric systems can exhibit complementary Lucas sequences in linearly localized edge states and a constant-intensity mode.