title: Metallic phase of the quantum Hall effect in four-dimensional space.
abstract: We study the phase diagram of the quantum Hall effect in four-dimensional (4D) space. Unlike in 2D, in 4D there exists a metallic as well as an insulating phase, depending on the disorder strength. The critical exponent ν≈1.2 of the diverging localization length at the quantum Hall insulator-to-metal transition differs from the semiclassical value ν=1 of 4D Anderson transitions in the presence of time-reversal symmetry. Our numerical analysis is based on a mapping of the 4D Hamiltonian onto a 1D dynamical system, providing a route towards the experimental realization of the 4D quantum Hall effect.
authors.affiliation: Instituut-Lorentz, Universiteit Leiden, Leiden, The Netherlands.
authors.forename: J M
authors.initials: JM
authors.lastname: Edge
authors.forename: J
authors.initials: J
authors.lastname: Tworzydło
authors.forename: C W J
authors.initials: CW
authors.lastname: Beenakker