The conductivity of disordered systems and the scaling theory

N. F. Mott, M. Kaveh

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It is shown that the scaling theory of Abrahams et al. (1980) while giving correctly the dependence of the conductivity on specimen size or inelastic diffusion length, cannot be applied in three-dimensional systems to its behaviour when the Fermi energy lies near a mobility edge. The existence or otherwise of a minimum metallic conductivity has therefore to be examined by other methods, and a summary is given of our view of the present position. The scaling theory in two dimensions is also discussed; at zero temperature the conductivity in the limit of low field goes to zero with increasing specimen size, and in addition the electric field itself produces a cut-off length.

Original languageEnglish
Article number005
Pages (from-to)L659-L664
JournalJournal of Physics C: Solid State Physics
Issue number22
StatePublished - 1981
Externally publishedYes


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