Date of this Version
Physical Review Letters
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.
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.