Critical statistics in a power-law random-banded matrix ensemble
نویسندگان
چکیده
منابع مشابه
Transition from localized to extended eigenstates in the ensemble of power-law random banded matrices.
We study statistical properties of the ensemble of large N × N random matrices whose entries Hij decrease in a power-law fashion Hij ∼ |i − j|−α. Mapping the problem onto a nonlinear σ−model with non-local interaction, we find a transition from localized to extended states at α = 1. At this critical value of α the system exhibits multifractality and spectral statistics intermediate between the ...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2000
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.61.r11859