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From Power-Localized to Extended States in a Class of One-Dimensional Disordered Systems

Delyon, Francois and Simon, Barry and Souillard, Bernard (1984) From Power-Localized to Extended States in a Class of One-Dimensional Disordered Systems. Physical Review Letters, 52 (24). pp. 2187-2189. ISSN 0031-9007. doi:10.1103/PhysRevLett.52.2187.

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We study a one-dimensional random Kronig-Penney model in the presence of a constant electric field. We rigorously prove for the first time the existence of a transition between a regime of extended states for large field and a regime of power-localized states for small field. There the large-distance behavior of the states is |x|^(−α(F)) with α(F) ∼ C/F for small field F, confirming a numerical computation of Soukoulis et al.

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Simon, Barry0000-0003-2561-8539
Additional Information:© 1984 American Physical Society. (Received 12 March 1984) One of us (B.So.) is glad to thank W. Kohn and the Institute for Theoretical Physics at Santa Barbara, where part of this work has been done. Two of us (F.D. and B. So.) are glad to thank E. Stone and W. Luxemburg for the hospitality of the California Institute of Technology, where part of this work has been done. This research was partially supported by the National Science Foundation under Grant No. MCS-81-20833.
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Issue or Number:24
Classification Code:PACS numbers: 72.10.Bg, 71.15.+t, 71.55.Jv
Record Number:CaltechAUTHORS:20180417-104514705
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85899
Deposited By: George Porter
Deposited On:17 Apr 2018 23:11
Last Modified:15 Nov 2021 20:33

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