Weyl Semimetal Chiral Anomaly — Landau-Channel Pumping (2D)

This 2D companion to the 3D Weyl-semimetal simulator swaps the rendered band structure for a direct count of the chiral conduction channels the theory predicts. A Weyl node's lowest Landau level is degenerate in proportion to the applied magnetic field B, so this simulation draws one horizontal lane per degenerate channel — up to sixty at full field — each carrying a single electron whose momentum sweeps the Brillouin zone at a rate set by the component of the electric field E along B. Every time an electron completes a sweep it is counted as annihilated at the left-handed (sink) node and re-created at the right-handed (source) node: one quantum of chiral charge transferred per crossing. Summed over all active channels, this literal crossing-counting statistic reproduces the same e²(E·B)/4π²ħ² pumping rate used analytically in the 3D scene — but here it emerges from the simulation instead of being written into it. A live strip chart tracks the resulting chiral imbalance N₅ and the negative longitudinal magnetoresistance it produces as intervalley scattering (set by τᵥ) relaxes the imbalance back toward zero.