Extended Data Fig. 9: Hartree-Fock calculations at ν=7/2 and 2/3.
From: Topological bands and correlated states in helical trilayer graphene
a, Charge density n(r) (measured relative to that at full flat band filling nν=+4(r)) of the tetrahedral antiferromagnet (TAF) at ν=7/2. Grey dots indicate ABA-stacking regions. b, Local spin orientation in the TAF. Arrows denote spin direction in sx − sy plane, while red (blue) coloring indicates out-of-plane polarization along \(+{\hat{s}}_{z}(-{\hat{s}}_{z})\). Grey parallelogram indicates the new quadrupled moiré unit cell. c,d Same as a except for the \({\hat{C}}_{3z}\) charge density wave and stripe charge density wave respectively. e, ΔE of the different translation symmetry breaking solutions at ν=7/2 as a function of interlayer potential U. ΔE is measured relative to that of the best translation- symmetric solution. f, Charge gap of the translation symmetry breaking solutions at ν=7/2. g,h, Same as e,f except for the best translation symmetry breaking solution at ν=2/3. All calculations performed on a 18 × 18 system using θ = 1.80∘, wAA = 75 meV.
