Department of Physics Papers

Document Type

Journal Article

Date of this Version

8-16-1982

Publication Source

Physical Review Letters

Volume

49

Issue

7

Start Page

486

Last Page

489

DOI

10.1103/PhysRevLett.49.486

Abstract

Electronic wave functions are studied on dilute lattices, at dimensionalities 1⩽d⩽8. Generalized average inverse participation ratios are expanded in powers of the bond concentration, p. Dlog Padé approximants indicate that these ratios diverge as (pq−p)q, signaling the appearance of extended states for p>pq. These Anderson transitions occur above classical percolation. No divergence is detected at d=2. These results are consistent with the existence of localized states at the center of the band.

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Date Posted: 20 August 2015

This document has been peer reviewed.