Fractional quantization of the hall effect: A hierarchy of incompressible quantum fluid states

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Abstract

With use of spherical geometry, a translationally invariant version of Laughlin's proposed "incompressible quantum fluid" state of the two-dimensional electron gas is formulated, and extended to a hierarchy of continued-fraction Landau-level filling factors. Observed anomalies at =25, 27 are explained by fluids deriving from a =13 parent.

Original languageEnglish (US)
Pages (from-to)605-608
Number of pages4
JournalPhysical review letters
Volume51
Issue number7
DOIs
StatePublished - 1983
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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