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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A hybrid quantum framework unifies algebraic deformation and fractional non-locality to produce interpolating uncertainty relations and a tunable quantum speed limit theorem.
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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.
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Generalized Uncertainty Relations and Quantum Speed Limits
A hybrid quantum framework unifies algebraic deformation and fractional non-locality to produce interpolating uncertainty relations and a tunable quantum speed limit theorem.