Off-diagonal long range order and scaling in a disordered quantum Hall system

S. L. Sondhi, M. P. Gelfand

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We have numerically studied bosonic off-diagonal long range order, introduced by Read to describe the ordering in ideal quantum Hall states, for noninteracting electrons in random potentials confined to the lowest Landau level. We find that it also describes the ordering in disordered quantum Hall states; the proposed order parameter vanishes in the disordered (σxy=0) phase and increases continuously from zero in the ordered (σxy=e2h) phase. We study the scaling of the order parameter and find that it is consistent with that of the one-electron Green function.

Original languageEnglish (US)
Pages (from-to)2119-2122
Number of pages4
JournalPhysical review letters
Issue number15
StatePublished - 1994
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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