Scaling, Diffusion, and the Integer Quantized Hall Effect

The behavior of the two-particle spectral function, S (q, ), is examined in the hydrodynamic regime, at the mobility edge in a model for the integer quantized Hall effect. Results are presented from numerical diagonalization of the Hamiltonian for finite systems. For q^{2} small, S (q, ) has a conventional, diffusive form. For q^{2} large, the novel dependence S (q, ) ^-{2}q^-2+ is obtained, with =0. 380. 04.