Spatial decay of the single-particle density matrix in insulators: analytic results in two and three dimensions

Abstract

Analytic results for the asymptotic decay of the electron density matrix in insulators have been obtained in all three dimensions ($D=1-3$) for a tight-binding model defined on a simple cubic lattice. The anisotropic decay length is shown to be dependent on the energy parameters of the model. The existence of the power-law prefactor, $+AFw-propto{r}^{-D/2}$, is demonstrated.

4 pages, 3 figures

References in corpus (1)

• Exponential decay properties of Wannier functions and related quantities

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