A rigorous analysis of Anderson localization

  • F. Martinelli
Lectures, Seminars, Short Communications
Part of the Lecture Notes in Physics book series (LNP, volume 262)

Keywords

Anderson Model Quantum Tunneling Random Potential Anderson Localization Mobility Edge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    J. Fröhlich, F. Martinelli, E. Scoppolo, T. Spencer: “Constructive proof of localization in the Anderson tight binding model”. Comm. Math. Phys. to appear. See also T. Spencer:“The Schrodinger equation with a random potential-a mathematical reviews” Lectures given at the les Houches summer school on Random Systems '84.Google Scholar
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    P. Anderson “Absence of diffusion in certain random lattices” Phys. Rev. Lett. 109 (1958).Google Scholar
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    J. Fröhlich, T. Spencer “Absence of diffusion in the Anderson tight binding model for large disorder or low energy” Comm. Math. Phys. 88 (1983).Google Scholar
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    F. Martinelli, E. Scoppola: “A remark on the absence of absolutely continuous spectrum in the Anderson model for large disorder or low energy.” Comm. Math. Phys. 97 (1985).Google Scholar
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    B. Simon “Schrodinger semigroups” Bull. Amer. Math. Soc. 7 (1983).Google Scholar
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    G. Jona-Lasinio, F. Martinelli, E. Scoppola: “Multiple Tunnelings in ddimension: a quantum particle in a hierarchical potential” Ann. Inst. H. Poincare 42, 73 (1985).Google Scholar
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    F. Martinelli “The wave equation in random domains:localization of the normal modes in the small frequency region”. Ann. Inst. H. Poincare 43 No. 2, (1985).Google Scholar
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    J. Bellissard, D. R. Grempel, F. Martinelli, E. Scoppola “Localization of electrons with spin-orbit or magnetic interactions in a two dimensional disordered crystal” Phys. Rev. Lett. (to appear)Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • F. Martinelli
    • 1
  1. 1.Dipartimento Di MatematicaUniversita “La Sapienza” RomaItaly

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