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Anomalous transport through algebraically localized states in one dimension

Anomalous transport through algebraically localized states in one dimension

Localization in one-dimensional disordered or quasiperiodic noninteracting systems in the presence of power-law hopping is very different from localization in short-ranged systems. Power-law hopping leads to algebraic localization as opposed to exponential localization in short-ranged systems. Exponential localization is synonymous with insulating behavior in the thermodynamic limit. Here we show …