Three dimensions

Lattices in 3D space: the Anderson metal-insulator transition, which exists only in three dimensions, and Weyl semimetals, whose band touchings (located, with their chiralities, by a Weyl point finder) are monopoles of Berry curvature with Fermi-arc surface states.

The Scaling Theory of Localization: the 3D Anderson Transition

The Scaling Theory of Localization: the 3D Anderson Transition

Weyl Semimetals: Monopoles of Berry Curvature and Fermi Arcs

Weyl Semimetals: Monopoles of Berry Curvature and Fermi Arcs