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Precise asymptotics for a variable-range hopping model

Mehlig, B. and Wilkinson, M. (2007). Precise asymptotics for a variable-range hopping model. Progress of Theoretical Physics, 166 pp. 136–142.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1143/PTPS.166.136
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Abstract

For a system of localised electron states the DC conductivity vanishes at zero temperature, but localised electrons can conduct at finite - temperature. Mott gave a theory for the low-temperature conductivity in terms of a variable-range hopping model, which is hard to analyse. Here we give precise asymptotic results for a modified variable-range hopping model, proposed by S. Alexander [Phys. Rev. B 26 (1982), 2956].

Item Type: Journal Article
ISSN: 0375-9687
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 15639
Depositing User: Colin Smith
Date Deposited: 27 Apr 2009 08:22
Last Modified: 02 Dec 2010 20:26
URI: http://oro.open.ac.uk/id/eprint/15639
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