Anderson orthogonality catastrophe in disordered systems

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

Anderson orthogonality catastrophe in disordered systems

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

Department of Physics - at Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

30 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 (ln χ^-1)∝ln²N 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 language	English
Article number	081106
Pages (from-to)	811061-811064
Number of pages	4
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	65
Issue number	8
State	Published - 15 Feb 2002

Cite this

@article{238f771b2e1a4134bb1cb5d9b7ceceda,

title = "Anderson orthogonality catastrophe in disordered systems",

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 (ln χ-1)∝ln2N 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.",

author = "Yuval Gefen and Richard Berkovits and Lerner, \{Igor V.\} and Altshuler, \{Boris L.\}",

year = "2002",

month = feb,

day = "15",

language = "אנגלית",

volume = "65",

pages = "811061--811064",

journal = "Physical Review B - Condensed Matter and Materials Physics",

issn = "0163-1829",

publisher = "American Physical Society",

number = "8",

}

TY - JOUR

T1 - Anderson orthogonality catastrophe in disordered systems

AU - Gefen, Yuval

AU - Berkovits, Richard

AU - Lerner, Igor V.

AU - Altshuler, Boris L.

PY - 2002/2/15

Y1 - 2002/2/15

N2 - 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 (ln χ-1)∝ln2N 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.

AB - 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 (ln χ-1)∝ln2N 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.

UR - http://www.scopus.com/inward/record.url?scp=0037084655&partnerID=8YFLogxK

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0037084655

SN - 0163-1829

VL - 65

SP - 811061

EP - 811064

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 8

M1 - 081106

ER -

Anderson orthogonality catastrophe in disordered systems

Abstract

Other files and links

Fingerprint

Cite this