Multifractality and critical fluctuations at the Anderson transition
182 citations recorded by the source corpus.
Critical fluctuations of wave functions and energy levels at the Anderson transition are studied for the family of the critical power-law random banded matrix ensembles. It is shown that the distribution functions of the inverse participation ratios (IPR) $P_q$ are scale-invariant at the critical point, with a power-law asymptotic tail. The IPR distribution, the multifractal spectrum and the level statistics are calculated analytically in the limits of weak and strong couplings, as well as numerically in the full range of couplings.
Subfields: Condensed Matter Physics, Statistical and Nonlinear Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/0a99db82d703aefb27b8b79f19f5ce845e21dbf4
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In Condensed Matter Physics
In Statistical and Nonlinear Physics
In Statistics and Probability
Citations in the corpus
- Anderson Transitions (2007, methodology): “The quasi-metallic regime b ≫ 1 can be studied (Evers and Mirlin, 2000; Mirlin, 2000b; Mirlin and Evers, 2000; Mirlin et al., 1996) via mapping onto the supermatrix σ-model, cf. Sec.”