SU(4) Skyrmions in the $\nu =\pm 1$ Quantum Hall State of Graphene

Abstract

We explore different skyrmion types in the lowest Landau level of graphene at a filling factor $\nu =\pm 1$. In addition to the formation of spin and valley pseudospin skyrmions, we show that another type of spin-valley entangled skyrmions can be stabilized in graphene due to an approximate SU(4) spin-valley symmetry that is affected by sublattice symmetry-breaking terms. These skyrmions have a clear signature in spin-resolved density measurements on the lattice scale, and we discuss the expected patterns for the different skyrmion types.

5 pages, 3 figures ; 6 pages of supplementary material included ; version accepted for publication in PRL

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• Thermodynamics of free and bound magnons in graphene
• Global phase diagram of charge neutral graphene in the quantum Hall regime for generic interactions
• Thermally assisted Skyrmion drag in a nonuniform electric field
• Theory of Competing Charge Density Wave, Kekule and Antiferromagnetic ordered Fractional Quantum Hall states in Graphene aligned with Boron Nitride
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• $SU(4)$ description of bilayer skyrmion-antiskyrmion pairs
• Unveiling excitonic properties of magnons in a quantum Hall ferromagnet
• Magnon transmission across $\nu =1|-1|1$ mono-layer graphene junction as a probe of electronic structure
• Entanglement smectic and stripe order
• Entanglemons: Cross-platform protected qubits from entanglement