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Precise asymptotics for a variable-range hopping model

B. Mehlig·M. Wilkinson
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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, 2956 (1982)].

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B. Mehlig, M. Wilkinson. 2007-03-01. Precise asymptotics for a variable-range hopping model. https://doi.org/10.1143/ptps.166.136

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