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

doi:10.1103/PhysRevB.66.233101

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, and S. R. Elliott

Phys. Rev. B 66, 233101 – Published 4 December 2002

Abstract

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 $ρ (r, r^{'}) \propto | r - r^{'} |^{- (D + 1) / 2} .$

Received 8 July 2002

DOI:https://doi.org/10.1103/PhysRevB.66.233101

Authors & Affiliations

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

^*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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Vol. 66, Iss. 23 — 15 December 2002

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