Eigenfunction statistics in the localized Anderson model

Rowan Killip, Fumihiko Nakano

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)

Abstract

We consider the localized region of the Anderson model and study the distribution of eigenfunctions simultaneously in space and energy. In a natural scaling limit, we prove convergence to a Poisson process. This provides a counterpoint to recent work, [9], which proves repulsion of the localization centres in a subtly different regime.

Original languageEnglish
Pages (from-to)27-36
Number of pages10
JournalAnnales Henri Poincare
Volume8
Issue number1
DOIs
Publication statusPublished - 2007 Feb
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

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