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APS » Journals » Phys. Rev. Lett. » Volume 54 » Issue 14
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Phys. Rev. Lett. 54, 1589–1592 (1985)

Some Rigorous Results for the Anderson Model

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Barry Simon
Division of Physics, Mathematics, and Astronomy, California Institute of Technology, Pasadena, California 91125

Michael Taylor
Department of Mathematics, State University of New York, Stony Brook, New York 11794

Tom Wolff
Division of Physics, Mathematics, and Astronomy, California Institute of Technoloogy, Pasadena, California 91125

Received 10 January 1985; published in the issue dated 8 April 1985

We discuss two results for the Anderson model of random quantum Hamiltonians: (1) smoothness of the density of states in the one-dimensional model, even in many cases where the potential distribution is not smooth; and (2) a criterion for localization which, among other consequences, implies that certain estimates of Fröhlich and Spencer yield a dense point spectrum for the multidimensional model at large randomness or large energies.

© 1985 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.54.1589
DOI:
10.1103/PhysRevLett.54.1589
PACS:
71.55.Jv, 71.20.+c
 
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