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Phys. Rev. Lett. 105, 090601 (2010) [4 pages]

Critical State of the Anderson Transition: Between a Metal and an Insulator

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Gabriel Lemarié1,*, Hans Lignier2,†, Dominique Delande1, Pascal Szriftgiser2, and Jean Claude Garreau2
1Laboratoire Kastler Brossel, UPMC-Paris 6, ENS, CNRS; 4 Place Jussieu, F-75005 Paris, France
2Laboratoire de Physique des Lasers, Atomes et Molécules, Université Lille 1 Sciences et Technologies, UMR CNRS 8523; F-59655 Villeneuve d’Ascq Cedex, France

Received 7 May 2010; revised 25 June 2010; published 23 August 2010

See accompanying Physics Synopsis

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.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.105.090601
DOI:
10.1103/PhysRevLett.105.090601
PACS:
05.60.Gg, 03.75.-b, 05.30.Rt, 72.15.Rn

*Present address: Service de Physique de l’Etat Condensé (CNRS URA 2464), IRAMIS/SPEC, CEA Saclay, F-91191 Gif-sur-Yvette, France

Present address: Laboratoire Aimé Cotton, Université Paris-Sud, Bâtiment 505, Campus d’Orsay, F-91405 Orsay Cedex, France

www.phlam.univ-lille1.fr/atfr/cq