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

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 four fold degeneracy of each Landau level. We test various composite fermion 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 $n=1$ Landau levels and predict that (i) the 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.

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Cited by in corpus (5)

• Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems
• Fractional quantum Hall effect with unconventional pairing in monolayer graphene
• Graphene in a Strong Magnetic Field: Massless Dirac Particles vs. Skyrmions
• Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor
• Study of polarization of even-denominator fractional quantum Hall states in SU(4) Graphene