The critical conductance

Publisher Website
Google Scholar
Abstract
The critical conductance at the metal-insulator transition for a three-dimensional system is calculated. We find that due to localization effects, the conductance G(= σL) depends on the inelastic diffusion length L j with G ≃ 0·03 e 2/h for large values of L j and G∼e 2/h for small values of L j. Experimental evidence is presented in support of this result. We also calculate the value of G c in the equation σ = G ce 2/hξ for metals near the transition and find that it is not universal. Depending on the material, G c may change by more than an order of magnitude. This accounts for some recent experimental results.