Analytically solvable microscopic model of fractional quantum Hall states

N. F. Johnson, L. Quiroga

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We present an analytically solvable cluster model of interacting electrons in a two-dimensional parabolic potential. The model includes mixing with all Landau levels and treats the exchange-correlation within a given electron pair exactly. The calculated sequence of ground state filling factors with increasing magnetic field, and their ranges of stability, are consistent with experimental data.

Original languageEnglish (US)
Pages (from-to)661-664
Number of pages4
JournalSolid State Communications
Issue number8
StatePublished - Feb 1994

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics
  • Materials Chemistry


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