Localization, wave-function topology, and the integer quantized Hall effect

Daniel P. Arovas, R. N. Bhatt, F. D.M. Haldane, P. B. Littlewood, R. Rammal

Research output: Contribution to journalArticlepeer-review

88 Scopus citations


In a magnetic field, a wave function in a two-dimensional system is uniquely specified by the position of its nodes. We show that for high fields and a weak random potential, motion of the zeros of the wave function under smooth changes of the boundary conditions can be used to characterize the behavior of the one-electron states and distinguish between localized and extended states.

Original languageEnglish (US)
Pages (from-to)619-622
Number of pages4
JournalPhysical review letters
Issue number7
StatePublished - 1988
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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