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APS » Journals » Phys. Rev. Lett. » Volume 75 » Issue 1
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Phys. Rev. Lett. 75, 117–119 (1995)

What is Localization?

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R. del Rio
IIMAS-UNAM, Apdo. Postal 20-726, Admon. No. 20, 01000 Mexico, D.F., Mexico

S. Jitomirskaya
Department of Mathematics, University of California at Irvine, Irvine, California 92717

Y. Last and B. Simon
Division of Physics, Mathematics, and Astronomy, California Institute of Technology 253-37, Pasadena, California 91125

Received 22 March 1995; published in the issue dated 3 July 1995

We examine various issues relevant to localization in the Anderson model. We show there is more to localization than exponentially localized states by presenting an example with such states but where 〈x(t)2〉/t2-δ is unbounded for any δ>0. We show that the recently discovered instability of localization under rank one perturbations is only a weak instability.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.117
DOI:
10.1103/PhysRevLett.75.117
PACS:
72.15.Rn
 
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