Localization bounds for an electron gas

M. Aizenman, G. M. Graf

Research output: Contribution to journalArticlepeer-review

123 Scopus citations


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. This 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.

Original languageEnglish (US)
Pages (from-to)6783-6806
Number of pages24
JournalJournal of Physics A: Mathematical and General
Issue number32
StatePublished - Aug 14 1998

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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