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)-γq, 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.
Recommended Citation
Shapir, Y., Aharony, A., & Harris, A. (1982). Localization and Quantum Percolation. Physical Review Letters, 49 (7), 486-489. http://dx.doi.org/10.1103/PhysRevLett.49.486
Date Posted: 20 August 2015
This document has been peer reviewed.