Dimensionality dependence of the wave-function statistics at the Anderson transition

Article

关键词: INVERSE PARTICIPATION RATIO;    METAL-INSULATOR-TRANSITION;    DISORDERED-SYSTEMS;    LOCALIZATION TRANSITION;    MULTIFRACTAL ANALYSIS;    EPSILON-DIMENSIONS;    CRITICAL-BEHAVIOR;    BETHE LATTICE;    SIGMA-MODEL;    FLUCTUATIONS;   

DOI  :  10.1103/PhysRevB.66.033109

来源: SCIE

【 摘 要 】

The statistics of critical wave functions at the Anderson transition in three and four dimensions are studied numerically. The distribution of the inverse participation ratios (IPRs) P-q is shown to acquire a scale-invariant form in the limit of large system size. Multifractality spectra governing the scaling of the ensemble-averaged IPRs are determined. Conjectures concerning the IPR statistics and the multifractality at the Anderson transition in a high spatial dimensionality are formulated.

【 授权许可】

Free