The hexagonal Hofstadter model with irrational flux has an exact localization phase diagram of extended, localized, and critical phases with no mobility edge, derived from a 2x2 transfer matrix reduction to Avila's theory.
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Derives perturbative expressions for layer-resolved in-plane displacements from continuum elasticity in moiré heterobilayers and predicts a buckling instability near alignment driven by compressive strain.
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Localization phase diagram of the Hexagonal Lattice with irrational magnetic flux
The hexagonal Hofstadter model with irrational flux has an exact localization phase diagram of extended, localized, and critical phases with no mobility edge, derived from a 2x2 transfer matrix reduction to Avila's theory.