How Nonlinear Interactions Challenge the Three-Dimensional Anderson Transition

Nicolas Cherroret, Benoît Vermersch, Jean Claude Garreau, and Dominique Delande
Phys. Rev. Lett. 112, 170603 – Published 2 May 2014

Abstract

In disordered systems, our present understanding of the Anderson transition is hampered by the possible presence of interactions between particles. We demonstrate that in boson gases, even weak interactions deeply alter the very nature of the Anderson transition. While there still exists a critical point in the system, below that point a novel phase appears, displaying a new critical exponent, subdiffusive transport, and a breakdown of the one-parameter scaling description of Anderson localization.

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  • Received 1 November 2013

DOI:https://doi.org/10.1103/PhysRevLett.112.170603

© 2014 American Physical Society

Authors & Affiliations

Nicolas Cherroret1, Benoît Vermersch2,*, Jean Claude Garreau2, and Dominique Delande1

  • 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, CNRS; F-59655 Villeneuve d’Ascq Cedex, France

  • *Present address: Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, A-6020 Innsbruck, Austria.

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Issue

Vol. 112, Iss. 17 — 2 May 2014

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