Multifractality of Hamiltonians with power-law transfer terms

Article

关键词: INVERSE PARTICIPATION RATIO;    SPECTRAL STATISTICS;    ANDERSON TRANSITION;    DIPOLE INTERACTION;    VIBRATIONAL-MODES;    DISORDERED METALS;    WAVE-FUNCTION;    FIELD-THEORY;    2 DIMENSIONS;    LOCALIZATION;   

DOI  :  10.1103/PhysRevB.68.184206

来源: SCIE

【 摘 要 】

Finite-size effects in the generalized fractal dimensions d(q) are investigated numerically. We concentrate on a one-dimensional disordered model with long-range random hopping amplitudes in both the strong- and the weak-coupling regime. At the macroscopic limit, a linear dependence of d(q) on q is found in both regimes for values of qless than or similar to4g(-1), where g is the coupling constant of the model.

【 授权许可】

Free