Abstract
We study the overlap of two different eigenfunctions as compared with self-overlap in the framework of an infinite-dimensional version of the disordered tight-binding model. Despite a very sparse structure of the eigenstates in the vicinity of the Anderson transition, their mutual overlap is still found to be of the same order as self-overlap as long as the energy separation is smaller than a critical value. The latter fact explains the robustness of the Wigner-Dyson level statistics everywhere in the phase of extended states. The same picture is expected to hold for usual d-dimensional conductors, ensuring the form of the level repulsion at a critical point.
- Received 26 December 1996
DOI:https://doi.org/10.1103/PhysRevB.55.R16001
©1997 American Physical Society