LOCALIZATION BOUNDS FOR AN ELECTRON-GAS

Mathematical analysis of the Anderson localization has been facilitate d by the use of suitable fractional moments of the Green function. Rel ated methods permit now a readily accessible derivation of a number of physical manifestations of localization, in regimes of strong disorde r, extreme energies, or weak disorder away from the unperturbed spectr um. This work establishes on this basis exponential decay for the modu lus of the two-point function, at all temperatures as well as in the g round state, for a Fermi gas within the one-particle approximation. Di fferent implications, in particular for the integral quantum Hall effe ct, are reviewed.