Uncorrelated hopping disorder in the generalized Aubry-André model enhances localization and turns the transition into a crossover, while spatially correlated disorder causes partial delocalization near strong bonds, as shown in momentum-space lattice experiments with 87Rb atoms.
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A configuration-space framework shows that energy gaps in quasicrystals arise from resonant hybridization of increasingly distant sites, pinning the integrated density of states to specific irrational areas.
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Localization with Hopping Disorder in Quasi-periodic Synthetic Momentum Lattice
Uncorrelated hopping disorder in the generalized Aubry-André model enhances localization and turns the transition into a crossover, while spatially correlated disorder causes partial delocalization near strong bonds, as shown in momentum-space lattice experiments with 87Rb atoms.
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On the origin of energy gaps in quasicrystalline potentials
A configuration-space framework shows that energy gaps in quasicrystals arise from resonant hybridization of increasingly distant sites, pinning the integrated density of states to specific irrational areas.