Fluctuation of correlation dimension and inverse participation number at the Anderson transition
作者： Imre Varga
DOI: 10.1103/PHYSREVB.66.094201
关键词: Joint probability distribution 、 Multifractal system 、 Symmetric probability distribution 、 Statistical physics 、 Reciprocal distribution 、 Generalized inverse Gaussian distribution 、 Correlation dimension 、 Probability distribution 、 Quantum mechanics 、 Mathematics 、 Probability density function
摘要: The distribution of the correlation dimension in a power law band random matrix model having critical, i.e., multifractal, eigenstates is numerically investigated. It shown that their probability function has fixed point as system size varied exactly at value obtained from scaling properties typical inverse participation number. Therefore state-to-state fluctuation tightly linked to joint eigenstates.
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