Incompressible Even Denominator Fractional Quantum Hall States in the Zeroth Landau Level of Monolayer Graphene

Abstract

Incompressible even denominator fractional quantum Hall states at fillings $\nu =\pm \frac{1}{2}$ and $\nu =\pm \frac{1}{4}$ have been recently observed in monolayer graphene. We use a Chern-Simons description of multi-component fractional quantum Hall states in graphene to investigate the properties of these states and suggest variational wavefunctions that may describe them. We find that the experimentally observed even denominator fractions and standard odd fractions (such as $\nu =1/3,2/5$, etc.) can be accommodated within the same flux attachment scheme and argue that they may arise from sublattice or chiral symmetry breaking orders (such as charge-density-wave and antiferromagnetism) of composite Dirac fermions, a phenomenon unifying integer and fractional quantum Hall physics for relativistic fermions. We also discuss possible experimental probes that can narrow down the candidate broken symmetry phases for the fractional quantum Hall states in the zeroth Landau level of monolayer graphene.

arXiv comment5 pages

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Cited by in corpus (5)

• Strong-Magnetic-Field Magnon Transport in Monolayer Graphene
• Two-component parton fractional quantum Hall state in graphene
• Collective excitations of fractional quantum Hall states in monolayer graphene
• Interacting quantum Hall states in a finite graphene flake and at finite temperature
• Study of polarization of even-denominator fractional quantum Hall states in SU(4) Graphene