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

Details Spatial decay of the single-particle density matrix in tight-binding metals: +AFwAXA- analytic results in two dimensions Spatial decay of the single-particle density matrix in tight-binding metals: +AFwAXA- analytic results in two dimensions

2002-07-18

arxiv.org/abs/cond-mat/0207443v2

Physics

Condensed Matter

Materials Science

4 pages, 5 figures

Scientific paper

10.1103/PhysRevB.66.233101

Analytical results for the asymptotic spatial decay of the density matrix $+AFw-rho({+AFw-bf r},{+AFw-bf r^+AFw-prime})$ 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, $+AFw-rho({+AFw-bf r},{+AFw-bf r^+AFw-prime}) +AFw-propto |{+AFw-bf r}-{+AFw-bf r^+AFw-prime}|^{-(D+-1)/2}$.

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