Scaling theory of the fractional quantum Hall effect

J. K. Jain, S. A. Kivelson, Nandini Trivedi

Research output: Contribution to journalArticle

72 Scopus citations

Abstract

A new class of variational wave functions is proposed for the fractional quantum Hall effect in the presence of disorder at arbitrary electron densities. A consequence of these wave functions is a law of corresponding states which relates the behavior of the system in the fractional Hall regime to that in the integer Hall regime. For example, it is shown that the transition from the 1/3 to 2/5 plateau should be characterized by the same critical exponents as the transition between integer plateaus, while the transition between the 1 and 4/3 plateaus may be first order, and thus have no critical behavior.

Original languageEnglish (US)
Pages (from-to)1297-1300
Number of pages4
JournalPhysical Review Letters
Volume64
Issue number11
DOIs
StatePublished - Jan 1 1990

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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