Journal
SCIPOST PHYSICS
Volume 14, Issue 3, Pages -Publisher
SCIPOST FOUNDATION
DOI: 10.21468/SciPostPhys.14.3.040
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Twisted double-and mono-bilayer graphene are graphene-based moire materials hosting strongly correlated fermions in a gate-tunable conduction band with topologically non-trivial properties. The strong electron-electron interactions lead to a non-coplanar magnetic state and a set of competing ferromagnetic, topological charge density waves. The formation of charge density wave order, connected to a skyrmion lattice phase, is consistent with recent experiments.
Twisted double-and mono-bilayer graphene are graphene-based moire materials host-ing strongly correlated fermions in a gate-tunable conduction band with a topologi-cally non-trivial character. Using unbiased exact diagonalization complemented by unre-stricted Hartree-Fock calculations, we find that the strong electron-electron interactions lead to a non-coplanar magnetic state, which has the same symmetries as the tetrahe-dral antiferromagnet on the triangular lattice and can be thought of as a skyrmion lattice commensurate with the moire scale, competing with a set of ferromagnetic, topological charge density waves featuring an approximate emergent O(3) symmetry, 'rotating' the different charge density wave states into each other. Direct comparison with exact di-agonalization reveals that the ordered phases are accurately described within the unre-stricted Hartree-Fock approximation. Exhibiting a finite charge gap and Chern number |C | = 1, the formation of charge density wave order which is intimately connected to a skyrmion lattice phase is consistent with recent experiments on these systems.
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