Thouless pumping in quasi-periodic lattices is governed by an emergent effective potential that produces a universal geometry-induced drift velocity determined by the quasi-Brillouin zone, reducing to an explicit formula for Chern numbers in periodic cases.
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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.
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Thouless pumps and universal geometry-induced drift velocity in multi-sliding quasi-periodic lattices
Thouless pumping in quasi-periodic lattices is governed by an emergent effective potential that produces a universal geometry-induced drift velocity determined by the quasi-Brillouin zone, reducing to an explicit formula for Chern numbers in periodic cases.
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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.