Multi-component fractional quantum Hall states in graphene: SU(4) versus SU(2)

C. Töke, J. K. Jain

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


Because of the spin and Dirac-valley degrees of freedom, graphene allows the observation of one-, two-or four-component fractional quantum Hall effects in different parameter regions. We address the stability of various states in the SU(2) and SU(4) limits. In the SU(4) limit, we predict that new low-energy Goldstone modes determine the stability of the fractional quantum Hall states at 2/5, 3/7, etc; SU(4) skyrmions are not found to be relevant for the low-energy physics. These results are discussed in light of experiments.

Original languageEnglish (US)
Article number235601
JournalJournal of Physics Condensed Matter
Issue number23
StatePublished - Jun 13 2012

All Science Journal Classification (ASJC) codes

  • General Materials Science
  • Condensed Matter Physics


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