Localization problem of a two-dimensional lattice in a random magnetic field

Y. Avishai, Y. Hatsugai, M. Kohmoto

Research output: Contribution to journalArticlepeer-review

88 Scopus citations

Abstract

We calculate numerically the conductance of a square lattice of quantum wires (which is equivalent to a tight-binding model) in the presence of a random magnetic field. The magnetic flux per plaquette is uniformly distributed between -0/2 and +0/2, where 0=hc/e is the unit of flux quanta. The existence of localized states is confirmed. Although we cannot reach a definite conclusion, inspection of the conductance distribution P(g) and an analysis of our results within a heuristic finite-size scaling hypothesis are consistent with the existence of extended states, and hence mobility edges.

Original languageEnglish
Pages (from-to)9561-9565
Number of pages5
JournalPhysical Review B
Volume47
Issue number15
DOIs
StatePublished - 1 Jan 1993

ASJC Scopus subject areas

  • Condensed Matter Physics

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