Localization Bounds for an Electron Gas

Details Localization Bounds for an Electron Gas Localization Bounds for an Electron Gas

1996-03-15

arxiv.org/abs/cond-mat/9603116v3

J. Phys. A: Math. Gen. 31 (1998) 6783-6806.

Physics

Condensed Matter

An extended version of the previous draft. LaTeX, 1 figure (eps)

Scientific paper

10.1088/0305-4470/31/32/004

Mathematical analysis of the Anderson localization has been facilitated by the use of suitable fractional moments of the Green function. Related methods permit now a readily accessible derivation of a number of physical manifestations of localization, in regimes of strong disorder, extreme energies, or weak disorder away from the unperturbed spectrum. The present work establishes on this basis exponential decay for the modulus of the two--point function, at all temperatures as well as in the ground state, for a Fermi gas within the one-particle approximation. Different implications, in particular for the Integral Quantum Hall Effect, are reviewed.

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