Theoretical study of even denominator fractions in graphene: Fermi sea versus paired states of composite fermions

Csaba Toke, J. K. Jain

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The physics of the state at even denominator fractional fillings of Landau levels depends on the Coulomb pseudopotentials, and produces, in different GaAs Landau levels, a composite fermion Fermi sea, a stripe phase, or, possibly, a paired composite fermion state. We consider here even denominator fractions in graphene, which has different pseudopotentials as well as a possible fourfold degeneracy of each Landau level. We test various composite fermion (CF) Fermi sea wave functions [fully polarized, SU(2) singlet, SU(4) singlet] as well as the paired composite fermion states in the n=0 and 1 Landau levels and predict that (i) paired states are not favorable, (ii) CF Fermi seas occur in both Landau levels, and (iii) an SU(4) singlet composite fermion Fermi sea is stabilized in the appropriate limit. The results from detailed microscopic calculations are generally consistent with the predictions of the mean field model of composite fermions.

Original languageEnglish
Article number081403
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume76
Issue number8
DOIs
Publication statusPublished - Aug 21 2007

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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