Phys. Rev. B 66, 233101 (2002) [4 pages]

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

Abstract

References

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S. N. Taraskin^1,*, P. A. Fry^2,†, Xiaodong Zhang^3,‡, D. A. Drabold^3,§, and S. R. Elliott^1,**
¹Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom
²St.John’s College, University of Cambridge, St. John’s St., Cambridge CB2 1TP, United Kingdom
³Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701

Received 8 July 2002; revised 19 September 2002; published 4 December 2002

Analytical results for the asymptotic spatial decay of the density matrix ρ(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 ρ(r,r^′)∝|r-r^′|^-(D+1)/2.

URL:

http://link.aps.org/doi/10.1103/PhysRevB.66.233101

DOI:

10.1103/PhysRevB.66.233101

PACS:

71.15.Ap, 71.20.-b

^*Electronic address: snt1000@cus.cam.ac.uk

^†Electronic address: paf25@cam.ac.uk

^‡Electronic address: xzhang@helios.phy.ohiou.edu

^§Work implemented while on leave at Trinity College, Cambridge. Electronic address: drabold@ohio.edu

^**Electronic address: sre1@cus.cam.ac.uk

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Phys. Rev. B 66, 233101 (2002) [4 pages]

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