Power-law decay and fractal character of eigenstates in two-dimensional disordered systems

Abstract

Describes the decay of the modulus of the eigenfunctions mod psi (R) mod of a weakly disordered 2D system. The authors distinguish between the asymptotic behaviour and an intermediate one; this can be very important in attempts to understand experiments where inelastic processes cannot be eliminated. They propose that mod psi (R) mod behaves as R- eta (W)exp-R/ xi (W) where W is the disorder parameter. Their main result consists in the good agreement between the exponent eta given by the strip method and the fractal dimensionality obtained directly by Soukoulis and Economou (1984).