Quantum percolation in magnetic fields

Yigal Meir, Amnon Aharony, A. Brooks Harris

Research output: Contribution to journalArticlepeer-review

Abstract

A generalized average inverse participation ratio, for the one-electron wave functions of a dilute tight-binding model on a d dimensional hypercubic lattice, is studied at finite magnetic fields. Extended wave functions appear above a quantum threshold bond concentration, pq. This threshold decreases at small magnetic fields, and shows a periodic dependence on the magnetic flux through a basic plaquette, with period 0ce. Extended states appear and disappear periodically even at d=2.

Original languageEnglish
Pages (from-to)976-979
Number of pages4
JournalPhysical Review Letters
Volume56
Issue number9
DOIs
StatePublished - 1986

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