Boundary multifractality in critical one-dimensional systems with long-range hopping

A. Mildenberger, A. R. Subramaniam, R. Narayanan, F. Evers, I. A. Gruzberg, and A. D. Mirlin
Phys. Rev. B 75, 094204 – Published 29 March 2007

Abstract

Boundary multifractality of electronic wave functions is studied analytically and numerically for the power-law random banded matrix (PRBM) model, describing a critical one-dimensional system with long-range hopping. The peculiarity of the Anderson localization transition in this model is the existence of a line of fixed points describing the critical system in the bulk. We demonstrate that the boundary critical theory of the PRBM model is not uniquely determined by the bulk properties. Instead, the boundary criticality is controlled by an additional parameter characterizing the hopping amplitudes of particles reflected by the boundary.

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  • Received 28 November 2006

DOI:https://doi.org/10.1103/PhysRevB.75.094204

©2007 American Physical Society

Authors & Affiliations

A. Mildenberger1, A. R. Subramaniam2, R. Narayanan3,5, F. Evers3,4, I. A. Gruzberg2, and A. D. Mirlin3,4,*

  • 1Fakultät für Physik, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • 2James Franck Institute, University of Chicago, 5640 S. Ellis Ave., Chicago, Illinois 60637, USA
  • 3Institut für Nanotechnologie, Forschungszentrum Karlsruhe, 76021 Karlsruhe, Germany
  • 4Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • 5Department of Physics, Indian Institute of Technology Madras, Chennai 600036, India

  • *Also at Petersburg Nuclear Physics Institute, 188300 St. Petersburg, Russia.

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Issue

Vol. 75, Iss. 9 — 1 March 2007

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