Spatial decay of the single-particle density matrix in tight-binding metals: Analytic results in two dimensions

S. N. Taraskin; P. A. Fry; Xiaodong Zhang; D. A. Drabold; S. R. Elliott

Spatial decay of the single-particle density matrix in tight-binding metals: Analytic results in two dimensions

S. N. Taraskin, P. A. Fry, Xiaodong Zhang, D. A. Drabold, S. R. Elliott

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

Abstract

Analytical results for the asymptotic spatial decay of the density matrix p(r,r′) in the tight-binding model of the two-dimensional metal are presented. In various dimensions D, it is found analytically and numerically that the density matrix decays with distance according to the power law p(r,r′)∝|r-r′|^-(D+1)/2.

Original language	English (US)
Article number	233101
Pages (from-to)	2331011-2331014
Number of pages	4
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	66
Issue number	23
State	Published - Dec 15 2002
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

Cite this

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title = "Spatial decay of the single-particle density matrix in tight-binding metals: Analytic results in two dimensions",

abstract = "Analytical results for the asymptotic spatial decay of the density matrix p(r,r′) in the tight-binding model of the two-dimensional metal are presented. In various dimensions D, it is found analytically and numerically that the density matrix decays with distance according to the power law p(r,r′)∝|r-r′|-(D+1)/2.",

author = "Taraskin, {S. N.} and Fry, {P. A.} and Xiaodong Zhang and Drabold, {D. A.} and Elliott, {S. R.}",

year = "2002",

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day = "15",

language = "English (US)",

volume = "66",

pages = "2331011--2331014",

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

issn = "0163-1829",

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TY - JOUR

T1 - Spatial decay of the single-particle density matrix in tight-binding metals

T2 - Analytic results in two dimensions

AU - Taraskin, S. N.

AU - Fry, P. A.

AU - Zhang, Xiaodong

AU - Drabold, D. A.

AU - Elliott, S. R.

PY - 2002/12/15

Y1 - 2002/12/15

N2 - Analytical results for the asymptotic spatial decay of the density matrix p(r,r′) in the tight-binding model of the two-dimensional metal are presented. In various dimensions D, it is found analytically and numerically that the density matrix decays with distance according to the power law p(r,r′)∝|r-r′|-(D+1)/2.

AB - Analytical results for the asymptotic spatial decay of the density matrix p(r,r′) in the tight-binding model of the two-dimensional metal are presented. In various dimensions D, it is found analytically and numerically that the density matrix decays with distance according to the power law p(r,r′)∝|r-r′|-(D+1)/2.

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M3 - Article

AN - SCOPUS:17544403620

SN - 0163-1829

VL - 66

SP - 2331011

EP - 2331014

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 23

M1 - 233101

ER -

Spatial decay of the single-particle density matrix in tight-binding metals: Analytic results in two dimensions

Abstract

ASJC Scopus subject areas

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