Abstract
We perform numerical finite-size-scaling calculations on a standard diagonally disordered tight-binding Hamiltonian, with a Gaussian site-energy distribution. We find that the localization-length exponent is ν=0.97±0.05. We also find that /ν=1.43±0.10, where is the inverse-participation-ratio exponent. /ν can also be interpreted as the fractal dimension of the critical eigenstates. Finally, by looking at higher moments of the critical wave functions, we show that they display a multifractal structure.
- Received 22 November 1989
DOI:https://doi.org/10.1103/PhysRevB.42.8121
©1990 American Physical Society