Coulomb interactions, Dirac sea polarization and $SU(4)$ symmetry breaking of the integer quantum Hall states of graphene

Abstract

We investigate effects of the filled Dirac sea on the $SU(4)$ symmetry breaking in the integer quantum Hall states of graphene with long-ranged Coulomb interactions. Our model also includes Hubbard and nearest neighbour repulsive interactions with strengths $U$ and $V$ respectively. We find that the symmetry breaking of the $n=0$ Landau levels induces an $SU(4)$ polarization of the Dirac sea. This results in several phases which are absent when the effects of the Dirac sea are neglected. We compute the phase diagram in the $U$-$V$ space. We also calculate the excitation gaps in tilted magnetic fields for all the phases. We compare our model results with experiments and find a range of $U$ and $V$ that are consistent with them.

22 pages, 13 figures

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Cited by in corpus (8)

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• Theory of Competing Charge Density Wave, Kekule and Antiferromagnetic ordered Fractional Quantum Hall states in Graphene aligned with Boron Nitride
• A Hartree-Fock study of the $\nu =0$ quantum Hall state of monolayer graphene with short range interactions
• Incompressible Even Denominator Fractional Quantum Hall States in the Zeroth Landau Level of Monolayer Graphene
• Integer Quantum Hall Effect of Interacting Electrons in Graphene
• Orbital magnetization of interacting Dirac fermions in graphene
• Non-Abelian fusion rules from Abelian systems with SPT phases and graph topological order
• Interacting quantum Hall states in a finite graphene flake and at finite temperature