Localization and quantum percolation

Yonathan Shapir, Amnon Aharony, A. Brooks Harris

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)486-489
Number of pages4
JournalPhysical Review Letters
Issue number7
StatePublished - 1982


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