Abstract
Numerical results are reported for the quantum site-percolation problem. For the square lattice and the simple cubic lattice quantum percolation thresholds are calculated by studying the sensitivity of eigenvalues to a change in boundary conditions. Observing the energy dependence of the transition from localized to extended states, mobility edge trajectories are calculated. We obtain =0.45 in three dimensions and =0.70 in two dimensions. The latter value of is identified with a transition from weakly to strongly localized states, according to a similar localization behavior observed for the Anderson problem.
- Received 9 May 1990
DOI:https://doi.org/10.1103/PhysRevB.42.10342
©1990 American Physical Society