Power-law localization in two and three dimensions with off-diagonal disorder - art. no. 113107

We describe the nonconventional localization of the midband E=0 state in sq uare and cubic finite-bipartite lattices with off-diagonal disorder by solv ing numerically the linear equations for the corresponding amplitudes. This state is shown to display multifractal fluctuations, having many sparse pe aks, and by scaling the participation ratio we obtain its disorder-dependen t fractal dimension D-2. A logarithmic average correlation function grows a s g (r) similar to eta In r at distance r from the maximum amplitude and is consistent with a typical overall power-law decay \ psi (r)\ similar tor(- eta) where eta is proportional to the strength of off-diagonal disorder.