Filling ν = 1
Conductance: 1 × e²/h
Cyclotron radius: 0 nm
Edge channels: 1
Integer Quantum Hall Effect (IQHE): In a 2D electron gas at strong perpendicular magnetic field B, Landau levels form at energies E_n = ℏω_c(n+½) where ω_c = eB/m* is the cyclotron frequency. When filling factor ν = nh/(eB) is an integer, the bulk is gapped and all transport occurs via chiral edge modes.
Each filled Landau level contributes one chiral edge channel. By the Landauer formula, the Hall conductance is exactly σ_xy = νe²/h — with ν = number of edge channels. Backscattering is forbidden because counter-propagating modes live on opposite edges — impurities cannot connect them.
The simulation shows skipping orbits (classical) transitioning to chiral quantum edge states. Bulk impurities scatter cyclotron orbits but edge states skip around them, giving exact quantization.