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

Abstract

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

4 pages, 5 figures

References in corpus (2)

• Exponential decay properties of Wannier functions and related quantities
• Spatial decay of the single-particle density matrix in insulators: analytic results in two and three dimensions

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