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• W4309470134 abstract "We consider a disordered one-dimensional tight-binding model with power-law decaying hopping amplitudes to disclose wave-function maximum distributions related to the Anderson localization phenomenon. Deeply in the regime of extended states, the wave-function intensities follow the Porter-Thomas distribution while their maxima assume the Gumbel distribution. At the critical point, distinct scaling laws govern the regimes of small and large wave-function intensities with a multifractal singularity spectrum. The distribution of maxima deviates from the usual Gumbel form and some characteristic finite-size scaling exponents are reported. Well within the localization regime, the wave-function intensity distribution is shown to develop a sequence of pre-power-law, power-law, exponential, and anomalous localized regimes. Their values are strongly correlated, which significantly affects the emerging extreme values distribution." @default.
• W4309470134 created "2022-11-28" @default.
• W4309470134 creator A5052791592 @default.
• W4309470134 creator A5053807738 @default.
• W4309470134 date "2022-11-18" @default.
• W4309470134 modified "2023-09-29" @default.
• W4309470134 title "Wave-function extreme value statistics in Anderson localization" @default.
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• W4309470134 doi "https://doi.org/10.1103/physrevb.106.184207" @default.
• W4309470134 hasPublicationYear "2022" @default.
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