Fractional Chern Insulator
Nearly flat band with non-zero Chern number — fractional Hall physics
Parameters
Flatness ratio t₂/t₁:
0.30
Filling ν:
0.33
Interaction U/W:
1.0
Flux per plaquette φ/φ₀:
0.50
FCI physics:
Chern number C =
1
Band width W =
—
Band gap Δ =
—
At ν=1/3, 1/5...: FQH-like
many-body gap opens
σ_xy = νe²/h
Berry curvature Ω(k) shown
in momentum space (color)