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APS » Journals » Phys. Rev. Lett. » Volume 88 » Issue 19
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Phys. Rev. Lett. 88, 196405 (2002) [4 pages]

Spatial Decay of the Single-Particle Density Matrix in Insulators: Analytic Results in Two and Three Dimensions

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S. N. Taraskin1,*, D. A. Drabold2,†, and S. R. Elliott1,‡
1Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom
2Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701

Received 19 October 2001; published 30 April 2002

Analytic results for the asymptotic decay of the electron density matrix in insulators have been obtained in all three dimensions (D = 1,2,3) 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, ∝r-D/2, is demonstrated.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.196405
DOI:
10.1103/PhysRevLett.88.196405
PACS:
71.15.Ap, 71.20.-b

*Electronic address: snt1000@cus.cam.ac.uk

†Electronic address: drabold@ohio.edu This work was implemented while on leave at Trinity College, Cambridge, United Kingdom.

‡Electronic address: sre1@cus.cam.ac.uk

 
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