Anderson localization on the Bethe lattice (opens in new tab)

Anderson localization is a paradigmatic disorder-driven quantum phase transition in which interference effects can completely suppress wave propagation. Its formulation on the Bethe lattice -- an infinite tree with fixed coordination number -- provides a unique setting in which the transition becomes analytically tractable. Owing to its exponential volume growth, the Bethe lattice realizes the infinite-dimensional limit of the Anderson problem a...