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Large coupling behaviour of the Lyapunov exponent for tight binding one-dimensional random systems

Avron, J. and Craig, W. and Simon, B. (1983) Large coupling behaviour of the Lyapunov exponent for tight binding one-dimensional random systems. Journal of Physics A: Mathematical and General, 16 (7). L209-L211. ISSN 0305-4470. http://resolver.caltech.edu/CaltechAUTHORS:AVRjpa83

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Abstract

Studies the Lyapunov exponent gamma lambda (E) of (hu)(n)=u(n+1)+u(n-1)+ lambda V(n)u(n) in the limit as lambda to infinity where V is a suitable random potential. The authors prove that gamma lambda (E) approximately ln lambda as lambda to infinity uniformly as E/ lambda runs through compact sets. They also describe a formal expansion (to order lambda -2) for random and almost periodic potentials.


Item Type:Article
Additional Information:© 1983 IOP Publishing Limited Received 18 January 1983 Research partially supported by USNSF under Grant MCS-81-20833.
Record Number:CaltechAUTHORS:AVRjpa83
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:AVRjpa83
Alternative URL:http://dx.doi.org/10.1088/0305-4470/16/7/002
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2764
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:26 Apr 2006
Last Modified:26 Dec 2012 08:50

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