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Absolutely Continuous Spectrum for the Anderson Model on a Tree: A Geometric Proof of Klein’s Theorem

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Abstract

We give a new proof of a version of Klein’s theorem on the existence of absolutely continuous spectrum for the Anderson model on the Bethe Lattice at weak disorder.

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Author notes

  1. Wolfgang Spitzer

    Present address: Department of Theoretical Physics, University of Erlangen-Nürnberg, Staudtstrasse 7, 91058, Erlangen, Germany

Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada

    Richard Froese

  2. Department of Mathematics, University of Virginia, Charlottesville, Virginia, USA

    David Hasler

  3. Department of Physics, International University of Bremen, Bremen, Germany

    Wolfgang Spitzer

Authors
  1. Richard Froese
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  2. David Hasler
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  3. Wolfgang Spitzer
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Correspondence to Wolfgang Spitzer.

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Communicated by B. Simon

Copyright © 2006 by the authors. This article may be reproduced in its entirety for non-commercial purposes.

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Froese, R., Hasler, D. & Spitzer, W. Absolutely Continuous Spectrum for the Anderson Model on a Tree: A Geometric Proof of Klein’s Theorem. Commun. Math. Phys. 269, 239–257 (2007). https://doi.org/10.1007/s00220-006-0120-3

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  • DOI: https://doi.org/10.1007/s00220-006-0120-3

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