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Wave function statistics at the symplectic two-dimensional Anderson transition: Bulk properties

A. Mildenberger and F. Evers
Phys. Rev. B 75, 041303(R) – Published 5 January 2007

Abstract

The wave function statistics at the Anderson transition in a two-dimensional disordered electron gas with spin-orbit coupling is studied numerically. In addition to highly accurate exponents (α0=2.172±0.002,τ2=1.642±0.004), we report three qualitative results. (i) The anomalous dimensions are invariant under q(1q) which is in agreement with a recent analytical prediction and supports the universality hypothesis. (ii) The multifractal spectrum is not parabolic and therefore differs from behavior suspected, e.g., for (integer) quantum Hall transitions in a fundamental way. (iii) The critical fixed point satisfies conformal invariance.

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  • Received 27 October 2006

DOI:https://doi.org/10.1103/PhysRevB.75.041303

©2007 American Physical Society

Authors & Affiliations

A. Mildenberger1 and F. Evers2,3

  • 1Fakultät für Physik, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • 2Institut für Nanotechnologie, Forschungszentrum Karlsruhe, 76021 Karlsruhe, Germany
  • 3Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany

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Issue

Vol. 75, Iss. 4 — 15 January 2007

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