Possible coexistence of localized and extended states in the quantum Hall effect

Y. Avishai, B. G. Giraud

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We study the system of a single electron in the plane, subject to a strong transverse magnetic field and an impurity potential, within a subspace scrP pertaining to a single Landau level. It is shown that dilute impurities build a potential V which is active only in a subspace P of scrP. The complementary subspace scrP-P, the null eigenspace of V, is an infinite-dimensional space of extended states. In other words, there is more than just one extended state available for conductance.

Original languageEnglish
Pages (from-to)8347-8350
Number of pages4
JournalPhysical Review B
Volume39
Issue number12
DOIs
StatePublished - 1 Jan 1989

ASJC Scopus subject areas

  • Condensed Matter Physics

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