Abstract
Correlations of eigenfunctions, 〈|()|()〉, in a disordered system are investigated. We derive general formulas expressing these correlation functions in terms of the supermatrix σ model. In the particular case of the weak localization regime we find that the correlations of the same eigenfunction are proportional to for large distances, while the correlations of two different eigenfunctions cross over from behavior for = to behavior for |-|≫:l, with g and l being the dimensionless conductance and the mean free path, respectively.
- Received 22 April 1996
DOI:https://doi.org/10.1103/PhysRevE.55.6514
©1997 American Physical Society