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

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

2001-10-22

arxiv.org/abs/cond-mat/0110473v3

Physics

Condensed Matter

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.88.196405

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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