Weyl Semimetal & Fermi Arcs

Weyl nodes with chirality ±1 as monopoles of Berry curvature; Fermi arc surface states connect their projections

k₀ = 0.80  |  Type I Weyl  |  Fermi arc length = —
A Weyl semimetal hosts pairs of non-degenerate band-touching points (Weyl nodes) carrying topological charge (chirality) ±1 — monopoles and anti-monopoles of Berry curvature in k-space. The bulk-boundary correspondence guarantees Fermi arc surface states connecting the k-space projections of opposite-chirality nodes. Tilting the cone past |t|=1 gives a Type-II Weyl fermion (Lorentz violation). Berry curvature (hedgehog pattern) diverges at each node.