Anderson orthogonality catastrophe in disordered systems

Yuval Gefen, Richard Berkovits, Igor V. Lerner, Boris L. Altshuler

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We study the Anderson orthogonality catastrophe (AOC) in finite conductors with diffusive disorder. The disorder averaged logarithm of Χ, the overlap between the ground states before and after adding a static impurity, is found to depend nonmonotonically on the disorder. In two dimensions (formula presented) in the weak disorder limit, thus showing a stronger dependence on the number of electrons N than in the canonical AOC. A very broad tail of the distribution of Χ, found numerically, is a signature of the importance of a few-level statistics at the Fermi energy.

Original languageEnglish
Pages (from-to)1-4
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume65
Issue number8
DOIs
StatePublished - 2002

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