Surface Criticality and Multifractality at Localization Transitions

A. R. Subramaniam, I. A. Gruzberg, A. W. W. Ludwig, F. Evers, A. Mildenberger, and A. D. Mirlin
Phys. Rev. Lett. 96, 126802 – Published 27 March 2006

Abstract

We develop the concept of surface multifractality for localization-delocalization (LD) transitions in disordered electronic systems. We point out that the critical behavior of various observables related to wave functions near a boundary at a LD transition is different from that in the bulk. We illustrate this point with a calculation of boundary critical and multifractal behavior at the 2D spin quantum Hall transition and in a 2D metal at scales below the localization length.

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  • Received 2 December 2005

DOI:https://doi.org/10.1103/PhysRevLett.96.126802

©2006 American Physical Society

Authors & Affiliations

A. R. Subramaniam1, I. A. Gruzberg1, A. W. W. Ludwig2, F. Evers3, A. Mildenberger4, and A. D. Mirlin3,5,*

  • 1James Franck Institute, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637, USA
  • 2Physics Department, University of California, Santa Barbara, California 93106, USA
  • 3Institut für Nanotechnologie, Forschungszentrum Karlsruhe, 76021 Karlsruhe, Germany
  • 4Fakultät für Physik, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • 5Institut für Theorie der kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany

  • *Also at Petersburg Nuclear Physics Institute, 188350 St. Petersburg, Russia.

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Vol. 96, Iss. 12 — 31 March 2006

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