The Ground State of Monolayer Graphene in a Strong Magnetic Field
Lian-Ao Wu, Mike Guidry
TL;DR
This paper extends the understanding of graphene's quantum Hall effect by revealing an SO(8) symmetry that encompasses known SU(4) physics and predicts new phases, with implications for condensed matter and nuclear physics.
Contribution
It introduces an SO(8) symmetry framework for monolayer graphene in strong magnetic fields, uncovering new phases and deep mathematical connections to nuclear and superconducting systems.
Findings
Recovery of standard SU(4) physics as a limit
Identification of new phases in graphene
Mathematical links to nuclear and superconducting systems
Abstract
Graphene SU(4) quantum Hall symmetry is extended to SO(8), permitting analytical solutions for graphene in a magnetic field that break SU(4) spontaneously. We recover standard graphene SU(4) physics as one limit, but find new phases and new properties that may be relevant for understanding the ground state. The graphene SO(8) symmetry is found to be isomorphic to one that occurs extensively in nuclear structure physics, and very similar to one that describes high-temperature superconductors, suggesting deep mathematical connections among these physically-different fermionic systems.
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