Precise Asymptotics for a Variable-Range Hopping Model(Quantum Mechanics and Chaos)

@article{Mehlig2007PreciseAF,
  title={Precise Asymptotics for a Variable-Range Hopping Model(Quantum Mechanics and Chaos)},
  author={Bernhard Mehlig and Michael Wilkinson},
  journal={Progress of Theoretical Physics Supplement},
  year={2007},
  pages={136-142}
}
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]. 
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