Parameters
Filling ν = nh/(eB):–
Plateau n:–
σ_xy (e²/h):–
ρ_xy (h/e²):–
Landau gap ħω_c (meV):–
Landau level energy: E_n = ħω_c(n+½)
ω_c = eB/m* — cyclotron frequency
Plateau quantization comes from
Chern number C=1 per filled level.
TKNN formula (1982): σ_xy = (e²/h)·Σ Cₙ
Edge states are topologically protected — disorder cannot scatter between opposite edges.
ω_c = eB/m* — cyclotron frequency
Plateau quantization comes from
Chern number C=1 per filled level.
TKNN formula (1982): σ_xy = (e²/h)·Σ Cₙ
Edge states are topologically protected — disorder cannot scatter between opposite edges.