Localization in disordered Apollonian networks is energy-dependent and hierarchical: strongly localized on high-connectivity sites at spectral edges and on low-degree sites near zero energy, with patterns persisting under both diagonal and off-diagonal disorder.
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A review summarizing theoretical and experimental progress on disorder-induced topological phases including TAIs, quasiperiodic extensions, non-Hermitian systems, and many-body realizations.
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Hierarchical localization in disordered Apollonian networks
Localization in disordered Apollonian networks is energy-dependent and hierarchical: strongly localized on high-connectivity sites at spectral edges and on low-degree sites near zero energy, with patterns persisting under both diagonal and off-diagonal disorder.
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Recent progress on disorder-induced topological phases
A review summarizing theoretical and experimental progress on disorder-induced topological phases including TAIs, quasiperiodic extensions, non-Hermitian systems, and many-body realizations.