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Phys. Rev. B 30, 1686–1694 (1984)

Localized states in disordered systems as bound states in potential wells

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E. N. Economou† and C. M. Soukoulis*
Corporate Research Science Laboratory, Exxon Research and Engineering Company, Annandale, New Jersey 08801

A. D. Zdetsis
Department of Physics, University of Crete and Research Center of Crete, Heraklio, Crete, Greece

Received 6 March 1984; published in the issue dated 15 August 1984

The equivalence between localized states in disordered d-dimensional systems and bound states in local potential wells (or local potential fluctuations) in d-dimensional space is tested against numerical data. The agreement is found to be satisfactory. A new criterion for the onset of localization is deduced. It reduces to Mott's criterion at the center of the band but it differs qualitatively from Mott's picture when the mobility edge is near the band edges.

© 1984 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.30.1686
DOI:
10.1103/PhysRevB.30.1686
PACS:

*Present address: Department of Physics, Iowa State University, Ames, IA 50011

†Permanent address: Department of Physics, University of Crete and Research Center of Crete, Heraklio, Crete, Greece

 
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