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

S. N. Taraskin·D. A. Drabold·S. R. Elliott
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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.

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S. N. Taraskin, D. A. Drabold, S. R. Elliott. 2002-01-12. Spatial decay of the single-particle density matrix in insulators: analytic results in two and three dimensions. https://doi.org/10.1103/physrevlett.88.196405

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