期刊
PHYSICAL REVIEW B
卷 106, 期 18, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.106.184207
关键词
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资金
- CAPES (Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior)
- CNPq (Conselho Nacional de Desenvolvimento Cientifico e Tecnologico)
- FAPEAL (Fundacao de Apoio a Pesquisa do Estado de Alagoas)
In this study, we investigate a one-dimensional tight-binding model with power-law decaying hopping amplitudes to explore the wave-function maximum distributions related to Anderson localization phenomenon. We find that 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, 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 characteristic finite-size scaling exponents are reported. Within the localization regime, the wave-function intensity distribution exhibits a sequence of pre-power-law, power-law, exponential, and anomalous localized regimes. These regimes are strongly correlated and significantly affect the emerging extreme values distribution.
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.
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