title: Critical state of the Anderson transition: between a metal and an insulator.
abstract: Using a three-frequency one-dimensional kicked rotor experimentally realized with a cold atomic gas, we study the transport properties at the critical point of the metal-insulator Anderson transition. We accurately measure the time evolution of an initially localized wave packet and show that it displays at the critical point a scaling invariance characteristic of this second-order phase transition. The shape of the momentum distribution at the critical point is found to be in excellent agreement with the analytical form deduced from the self-consistent theory of localization.
authors.affiliation: Laboratoire Kastler Brossel, UPMC-Paris 6, ENS, CNRS; 4 Place Jussieu, F-75005 Paris, France.
authors.forename: Gabriel
authors.initials: G
authors.lastname: Lemarié
authors.forename: Hans
authors.initials: H
authors.lastname: Lignier
authors.forename: Dominique
authors.initials: D
authors.lastname: Delande
authors.forename: Pascal
authors.initials: P
authors.lastname: Szriftgiser
authors.forename: Jean Claude
authors.initials: JC
authors.lastname: Garreau